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Glass Transition and Creep Explained | Troy Technical

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TECHNOLOGY EXPLAINER

Glass Transition and Creep
— Tg is a value that comes with how it was measured; creep is a property that comes with time

ISO 6721-11 describes the glass transition temperature as an indicator of the transition from a hard, relatively brittle glassy state to a rubbery or viscous-liquid state. The same standard also says that measured values may vary with the properties of the material and the configuration of the test. For one copper-clad laminate, Tg is published as 260 to 290 °C by the TMA method and 315 to 345 °C by the DMA method. A Tg figure is something to be read together with how it was measured.

Built from primary sources: ISO and ASTM standards information, peer-reviewed papers and manufacturers' technical material / Last updated October 2026

Conceptual image of a test room in which identical clear resin bars carry identical weights: the bar on the left at room temperature stays almost straight, while the bar on the right inside a heated chamber sags smoothly and far
Conceptual image (AI-generated). A side-by-side impression of the same resin bar staying stiff at a low temperature and sagging under the same load at a high temperature. It does not represent a real test fixture, material, temperature or amount of deformation.
What this article covers
  1. What glass transition and creep are (the short version)
  2. How glass transition differs from melting and crystallization
  3. A materials engineer's view (1): Tg is a value that comes with how it was measured
  4. Our calculation: how far Tg moves with method, frequency and moisture
  5. Viscoelasticity: elastic and viscous behaviour side by side
  6. Creep and stress relaxation: two time-dependent phenomena
  7. A materials engineer's view (2): time-temperature superposition, buying time with temperature
  8. Our calculation: how many years is one hour at Tg + 20 K, using the WLF equation
  9. A materials engineer's view (3): how to use these in design
  10. Challenges and limits / Glossary / References / Claim-to-source audit
How claims are labelled in this article

Sourced = a statement found in published material (link given)
Our calculation = a figure this article derived from stated assumptions
Not yet confirmed = a plan or outlook for which a track record has not been confirmed
Summaries and design-oriented readings are marked separately as commentary.
Property values are given together with the test method, conditions and source, and manufacturers' stated values are distinguished from values in papers.

1. What glass transition and creep are (the short version)

  • Glass transition temperature (Tg): ISO 6721-11 treats it as an indicator of the transition in an amorphous polymer, or the amorphous part of a semicrystalline polymer, from a hard, relatively brittle glassy state to a rubbery or viscous-liquid stateSourced [Reference 1].
  • A range, not a point: ASTM E1640 says that the glass transition takes place over a range of temperature, that the standard is a method of assigning one temperature (Tg) to represent that range, and that Tg can differ from one technique to anotherSourced [Reference 10].
  • Creep and stress relaxation: ASTM D2990 says that creep test data are needed to predict creep modulus and strength under long-term loading, and the resulting dimensional changeSourced [Reference 12]. ASTM E328 says stress relaxation data are needed in the design of bolted joints and the loss of clamping force in gaskets [Reference 13].
The single most important line in this article

Tg is not a material constant but a value that carries "how it was measured." Creep is a property that carries three things: load, temperature and time. The catalogue Tg and the temperature and time conditions used in design must not be read separately (our summary).

2. How glass transition differs from melting and crystallization

The "glass transition point" is a change over a temperature range, not a point Modulus versus temperature on heating (concept): different measurement methods read different "Tg" values off the same curve Temperature Modulus (log) Glass transition Glassy (hard) Rubbery (soft) Crystals hold (semicrystalline) Melting point ① Start of E′ drop (DMA) ② Step in specific heat (DSC) / change of slope in dimensional change (TMA) ③ tan δ peak (DMA) Note: schematic curves, not measured on a real material. The glass transition spans a temperature range and appears as a step in specific heat in DSC and a drop in storage modulus in DMA, as described in ASTM E1356 and E1640. Note: the order of ① to ③ shows only a general tendency; actual temperature gaps depend on the material and conditions.
Fig. 1 Conceptual diagram (vector drawing). A schematic of how modulus changes with temperature. That the glass transition occurs over a range of temperature, and appears as a step in specific heat in DSC and as a fall in storage modulus in DMA, follows the descriptions in ASTM E1356 and E1640 [References 8 and 10]. The curves are for explanation and are not measurements; the positions of ① to ③ show a general tendency.

A polymer heated through a range of temperature shows two transitions of different character.

TransitionWhat happensHow it appears in measurementRelated standards
Glass transitionThe amorphous part changes from glassy (hard) to rubbery (soft). It spans a range of temperatureDSC: a step in specific heat. DMA: a fall in storage modulus. TMA: a change in the slope of dimensional changeISO 11357-2, ASTM E1356 (DSC) / ISO 6721-11, ASTM E1640 (DMA) / ISO 11359-2, ASTM E1545 (TMA)
Melting / crystallizationThe crystalline part melts (melting) or forms crystals on cooling (crystallization)DSC: an endothermic peak (melting) or an exothermic peak (crystallization), and the enthalpyISO 11357-3, ASTM D3418

All Sourced (organised from the statements of scope in each standard [References 1 to 3 and 7 to 11]). ISO 11357-3 is a method for determining the temperature and enthalpy of melting and crystallization of crystalline or semicrystalline plastics.

ISO 11357-2 and ASTM E1356 state that the glass transition applies to amorphous materials and to semicrystalline materials with an amorphous regionSourced [References 2 and 8]. So a fully crystalline material has no glass transition, and in a semicrystalline material the "part held by crystals" and the "part where the amorphous phase moves" coexist (our commentary).

Why this matters for materials engineers: some materials keep their shape even when Tg is below room temperature

The Arkema technical data sheet for PVDF (Kynar 740) gives a glass transition temperature of −40 °C (ISO 11357-1/-2), a melting point of 168 °C (ISO 11357-1/-3, 10 °C/min) and a deflection temperature under load of 105 °C (1.8 MPa, ISO 75-1/-2)Sourced [Reference 19]. Although Tg is far below room temperature, the material holds its shape under load up to 105 °C because the crystalline parts act as a skeleton (our commentary). The deflection temperature under load is a test that finds the temperature at which a specimen deflects under a three-point bending load (ISO 75-1) [Reference 6]; it is not Tg itself.

Stiffness also falls sharply well short of the melting point. In the Chemours PFA 340 material, against a melting point of 305 °C, the flexural modulus at 250 °C is 55 MPa, about 9.3% of the 590 MPa at 23 °C (ISO 178 / ASTM D790)Sourced [Reference 20]. The same material defines the continuous service temperature as the temperature at which tensile strength and elongation at break retain 50% of their original values after 20,000 hours of thermal aging. Tg, melting point, deflection temperature under load and continuous service temperature are four separate yardsticks (our commentary). Specific examples by material are in our explainers on fluoropolymers and PFAS and on polyimide.

3. A materials engineer's view (1): Tg is a value that comes with how it was measured

Tg is not a material constant but a value that comes with how it was measured Published Tg examples: values move with method and conditions even for the same material (manufacturer, papers) 0 100 200 300 400 Glass transition temperature (°C) Copper-clad laminate MCL-E-795G (TMA) 260 to 290 Same (DMA) 315 to 345 Kapton HN (varies by technique) 360 to 410 Amine-cured epoxy, dry (DMTA) 82 to 84 (0.1 to 10 Hz) Same, water-saturated (DMTA) 57 to 62 (0.1 to 10 Hz) Degradable epoxy (DSC, 1st → 2nd run) 69.7 → 76.6 TMA DMA DSC Method stated only as "varies by technique" Note: MCL-E-795G: Resonac product page (10 °C/min; measured values, not guaranteed). Kapton HN: DuPont datasheet. Epoxy: Polymers 2019 (Hexion RIMR135/RIMH137, tangent method of ISO 6721, three frequencies); degradable epoxy: Polymers 2025 (20 °C/min, first and second heating). Note: materials and formulations differ, so this does not compare methods; it shows that a value comes with its measurement method.
Fig. 2 Conceptual diagram (vector drawing). Examples of published Tg, colour-coded by measurement method. Values are from MCL-E-795G [Reference 17], Kapton HN [Reference 18], an amine-cured epoxy [Reference 14] and a degradable epoxy [Reference 21]. The examples are different materials and formulations, and the figure does not generalize the differences between measurement methods.

There are three families of standard for measuring Tg: DSC, TMA and DMA. Each one looks at something different.

MethodStandardWhat the standard says (key points)
DSC (differential scanning calorimetry)ISO 11357-2:2020, ASTM E1356-25The glass transition appears as a step in specific heat. Applies to amorphous materials or semicrystalline materials with an amorphous region. The usual temperature range of use is −120 to 500 °C (ASTM E1356)
TMA (thermomechanical analysis)ISO 11359-2:2021, ASTM E1545-22ISO 11359-2 is a method of determining both the coefficient of linear thermal expansion and the glass transition temperature by TMA. ASTM E1545 covers compression conditions, says that the glass transition depends on the thermal history of the material, and applies to materials rigid enough to resist penetration by the probe
DMA (dynamic mechanical analysis)ISO 6721-11:2019, ASTM E1640-23Ideally, the onset of the fall in storage modulus indicates the glass transition (ASTM E1640). ISO 6721-11 says that the temperature sensor is not in contact with the specimen and measures the surrounding temperature, so the data change with the heating rate, and it includes a procedure that takes thermal lag into account

All Sourced (statements on the official page for each standard [References 1 to 3 and 8 to 10]).

Fig. 2 shows examples of published Tg. Even for the same product, the method of measurement makes a difference of tens of kelvin.

  • Copper-clad laminate (Resonac MCL-E-795G): Tg is 260 to 290 °C by the TMA method and 315 to 345 °C by the DMA method. The heating rate is 10 °C/min, and the page notes that the values above are measured values, not guaranteed valuesSourced [Reference 17].
  • Kapton HN: the DuPont datasheet states that a second-order transition occurs between 360 and 410 °C, which is assumed to be the Tg, and that different measurement techniques give different results within this rangeSourced [Reference 18].
  • An example where the manufacturer's table does not state the method: in the table for Resonac's epoxy encapsulant for organic substrates, CEL-9700 HF10, Tg 125 °C, α1 6 ppm/°C and α2 27 ppm/°C are listed, but we could find no statement of the method or conditionsSourced [Reference 23].
Why this matters for materials engineers: five things to check before comparing Tg values

Before setting the Tg values from different documents side by side, check the following five points (our summary; the basis for each is shown on the right).

What to checkSupporting statement
1. Measurement method (DSC, TMA, DMA)MCL-E-795G differs by about 55 K between TMA and DMA [Reference 17]
2. Heating rateISO 6721-11: DMA data change with heating rate. There is a procedure to take thermal lag into account [Reference 1]
3. Frequency, and which heating runPolymers 2019: Tg rises as frequency rises (dry, 82 to 84 °C) [Reference 14]. Polymers 2025: first run 69.7 °C, second run 76.6 °C [Reference 21]
4. How Tg is read off (onset / midpoint / peak)ASTM E1640: Tg is a single value representing a range and differs by technique [Reference 10]. Polymers 2019 took the intersection of tangents at the lower inflection point of the storage modulus [Reference 14]
5. State of the specimen (degree of cure, moisture, thermal history)ASTM E1545: the glass transition depends on thermal history [Reference 9]. Polymers 2019: saturation with water takes 82 to 57 °C (0.1 Hz) [Reference 14]

Hasegawa et al. write the target for a heat-resistant plastic substrate as a Tg above 350 °C, ideally above 400 °C, or no clear Tg detected by DMASourced [Reference 22]. In other words, for some materials "having no Tg" becomes the way the target is written (we cover this in our explainer on polyimide).

4. Our calculation: how far Tg moves with method, frequency and moisture

Our calculation: working out the differences in published values

From the published values in Fig. 2, we calculate the differencesOur calculation.

  • TMA versus DMA (MCL-E-795G): at the midpoint of each range, TMA = (260 + 290) ÷ 2 = 275 °C and DMA = (315 + 345) ÷ 2 = 330 °C. The difference is 55 K (between the ends of the ranges, a minimum of 25 K and a maximum of 85 K)
  • Effect of frequency (amine-cured epoxy, DMTA): when the frequency rises by two orders of magnitude, from 0.1 Hz to 10 Hz, the Tg of the dry specimen goes from 82 to 84 °C (+2 K) and that of the water-saturated specimen from 57 to 62 °C (+5 K)
  • Effect of moisture (the same epoxy, 0.1 Hz): 82 °C to 57 °C, a change of −25 K (after absorbing 3.44 wt% of water)
  • First and second heating (degradable epoxy, DSC at 20 °C/min): 69.7 to 76.6 °C, a change of +6.9 K

Assumptions and limits: each is a published value for a different material and a different method, and none is a "general difference." The dry and wet specimens in Polymers 2019 are a same-batch comparison, but the frequency effect rests on only three points between 0.1 and 10 Hz. The uncertainty given by the authors is ±2 °C.

5. Viscoelasticity: elastic and viscous behaviour side by side

A polymer has both the elastic property of springing back like a spring and the viscous property of flowing like a liquid. This is viscoelasticity. DMA measures it as a function of temperature and frequency, and ASTM E1640 describes DMA as a means of monitoring and quantifying how viscoelastic properties change with temperature and frequencySourced [Reference 10].

  • Storage modulus (E′): the elastic component, "how stiff it is." It falls sharply above Tg.
  • Loss modulus (E″): the viscous component, the amount of energy lost as heat.
  • Loss tangent (tan δ): E″ ÷ E′. The ratio showing how readily vibrational energy is lost.

These definitions are our summary of the general definitions used in DMA. Because a measurement can vary both frequency and temperature, "lowering the frequency has an effect similar to raising the temperature" is the starting point of the time-temperature superposition described below (our commentary).

6. Creep and stress relaxation: two time-dependent phenomena

PhenomenonWhat stays constant and what changesWhere it matters in designStandards
CreepThe load (stress) is constant and the strain (deformation) grows with timeDimensional change under long-term load; rupture (creep rupture)ISO 899-1 (tensile), ISO 899-2 (three-point bending), ASTM D2990
Stress relaxationThe strain is constant and the stress falls with timeFastening by bolts and rivets, press fits, gasket clampingASTM E328

All Sourced (organised from the statements in each standard [References 4, 5, 12 and 13]).

ISO 899-1 says that a tensile creep test for design data needs an extensometer, and that specimen preparation, dimensions, environment and thermal history strongly influence creep behaviourSourced [Reference 4]. ISO 899-2 likewise presents three-point flexural creep as a method of obtaining data for design, quality control and research and development [Reference 5].

Why this matters for materials engineers: "below Tg" does not mean "safe"

The Polymers 2019 paper says that a thermosetting resin is not in thermodynamic equilibrium even below Tg and moves gradually towards it (physical aging), and that the region below Tg is the normal service temperature range for thermoset fibre-reinforced plastics, where creep still has to be consideredSourced [Reference 14]. The amine-cured epoxy in that paper (Hexion's Epikote RIMR135 / Epikure RIMH137, 100:30, cured for 24 hours at room temperature plus 16 hours at 80 °C) was examined in creep tests at a constant stress of 10 MPa for 3 hours at each temperature. The water-saturated specimen (3.44 wt%) ruptured during the test at 60 °C, whereas the dry specimen did not rupture at the same temperature and stressSourced. Tensile strength was also 60.5 ± 2.7 MPa dry and 48.5 ± 3.3 MPa wet. The difference in Tg (82 °C against 57 °C, at 0.1 Hz) thus moved the boundary between usable and not usable at the same stress (our commentary).

7. A materials engineer's view (2): time-temperature superposition, buying time with temperature

34 K higher, and the creep time axis shrinks by a factor of about 66,000 Temperature shift factors of creep compliance for an amine-cured epoxy (Polymers 2019; reference temperature 25 to 26 °C) 3 0 -3 -6 -7 10 20 30 40 50 60 65 Temperature (°C) log aT Dry −4.82 Wet −5.72 Dry +1.98 Dry (Tg 82 °C) Water-saturated, 3.44 wt% (Tg 57 °C) Note: values from Table 1 of Polymers 2019, 11, 1848 (Hexion Epikote RIMR135 / Epikure RIMH137, 100:30, cured 24 h at room temperature plus 16 h at 80 °C; creep tests at 10 MPa, 3 h at each temperature). Note: the more negative log aT is, the shorter the time to reach the same deformation. Tg (DMTA, 0.1 Hz): dry 82 °C, wet 57 °C. The lines simply join the points.
Fig. 3 Drawing (vector drawing). Temperature shift factors of creep compliance for an amine-cured epoxy. The values are from Table 1 of Polymers 2019 [Reference 14]. The lines simply join the points, and compare two conditions, dry and wet, of the same epoxy.

Creep cannot be measured for years on end. What is used instead is time-temperature superposition (TTS). The Heliyon 2023 paper describes TTS as a physical principle by which data curves obtained at other temperatures are shifted relative to a reference temperature, so that mechanical properties beyond the experimental range of time or frequency can be estimatedSourced [Reference 15]. Fig. 3 is a worked example.

  • The shift factors log aT, which move the creep curves of the amine-cured epoxy (Polymers 2019) to a reference temperature of 26 °C (dry), are +1.98 at 15 °C, −2.09 at 40 °C and −4.82 at 60 °C. For the wet specimen (reference 25 to 26 °C) they are +1.51, −2.47 and −5.72Sourced [Reference 14].
  • Because the shift factors are close to linear against 1/T, the authors conclude that Arrhenius behaviour holds in the region below Tg, and report activation energies of 277 kJ/mol dry and 297 kJ/mol wet (the same within the scatter)Sourced.
  • The paper says the master curve is valid only below Tg for this epoxy, and, since the wet specimen ruptured near Tg, that the method does not apply where nonlinear effects become importantSourced.
Our calculation: can the Arrhenius equation reproduce the shift factors in the paper?

Using the activation energy of 277 kJ/mol for the dry epoxy, we calculate the shift factors from a reference temperature of 26 °C (299.15 K)Our calculation. The equation is log aT = (Ea ÷ 2.303R) × (1/T − 1/Tref), with R = 8.314 J/(mol·K) [Reference 15].

  • 15 °C: calculated +1.85 (paper: +1.98)
  • 40 °C: calculated −2.16 (paper: −2.09)
  • 60 °C: calculated −4.94 (paper: −4.82)

Assumptions and limits: the activation energy is an average over three temperatures, and the values at individual temperatures scatter from 268 to 297 kJ/mol (Table 1 of the paper). The calculation matches the paper's values to within 0.07 to 0.13, but this applies to a dry epoxy well below Tg and cannot be used to extrapolate to other materials. A log aT of −4.82 at 60 °C means that, at only 34 K above the reference temperature, the creep time axis shrinks by 10−4.82, about 1/66,000.

8. Our calculation: how many years is one hour at Tg + 20 K, using the WLF equation

At 20 K above Tg, the time axis shrinks by a factor of about 70,000 log aT from the WLF equation (C1 = 17.44, C2 = 51.6): our calculation with Tg as the reference temperature 0 -2 -4 -6 -8 -10 -12 0 20 40 60 80 100 Temperature above Tg, T − Tg (K) log aT +10 K: −2.83 +20 K: −4.87 +50 K: −8.58 Note: WLF equation log10 aT = −C1 (T − Tg) / (C2 + (T − Tg)). C1 = 17.44 and C2 = 51.6 are said to be constants usable from Tg to Tg + 100 K for many amorphous polymers, but should be treated as adjustable values (Heliyon 2023). Note: calculated values, not measured on a real material. May not apply to semicrystalline polymers, thermosets or filled materials.
Fig. 4 Drawn with our own calculation included (vector drawing). The log aT curve from the WLF equation (C1 = 17.44, C2 = 51.6) [Reference 15]. These are calculated values, not measurements of a real material.

Near and above Tg, the WLF equation is used in place of the Arrhenius equation. According to the Heliyon 2023 paper, the WLF equation is log10 aT = −C1 (T − Tg) ÷ (C2 + (T − Tg)), and C1 = 17.44 and C2 = 51.6 can be used for many amorphous polymers from Tg to Tg + 100 K, but should be treated as adjustable parametersSourced [Reference 15]. The original source is the 1955 paper by Williams, Landel and Ferry (J. Am. Chem. Soc. 77, 3701; the bibliographic details were checked in Crossref) [Reference 16].

Our calculation: conversion factors at Tg + 10 K, + 20 K and + 50 K

We calculate using the constants aboveOur calculation.

T − Tglog10 aTaTOne hour at that temperature corresponds to how many hours at Tg
+10 K−2.831.48×10−3about 678 hours (about 28 days)
+20 K−4.871.34×10−5about 74,000 hours (about 8.5 years)
+50 K−8.582.61×10−9about 380 million hours (about 44,000 years)

Assumptions and limits: these values use universal constants with Tg as the reference temperature, and are not predictions for any real material. For semicrystalline polymers, highly crosslinked thermosets and materials containing fillers or fibres, the constants may change or the equation may not apply. The equation is limited to the range up to Tg + 100 K.

Why this matters for materials engineers: near Tg, a few kelvin change "time" by orders of magnitude

One hour at Tg + 20 K corresponds to about 8.5 years at Tg. This calculation shows that for a material used near Tg, controlling temperature is controlling time. Conversely, even well below Tg (the Arrhenius region), Fig. 3 shows a change of about 104.8-fold over 34 K. If you judge "Tg is so many °C, so it is fine" without being aware of how many kelvin the service temperature sits below Tg, you can no longer treat long-term creep and a short, high-temperature excursion such as solder reflow (260 °C) on the same scale (our commentary). The change in thermal expansion coefficient at Tg (α1 / α2) is covered, with manufacturers' published values, in our explainers on the coefficient of thermal expansion and on underfill.

9. A materials engineer's view (3): how to use these in design

Read Tg and creep through three questions: method, conditions, extrapolation Three steps for using Tg and creep in design (concept diagram) ① Read Tg with its measurement Which of DSC / TMA / DMA Heating rate, frequency, which run Check moisture and degree of cure ② Check at the use temperature Modulus falls even below Tg ISO 899 and ASTM D2990 conditions Match stress, time, temp., humidity ③ Shift and extrapolate long term Below Tg: Arrhenius type Near and above Tg: WLF type Check limits (nonlinearity, rupture) Note: our own summary. Standards for step ②: ISO 899-1 (tensile creep), ISO 899-2 (flexural creep), ASTM D2990 (creep and creep rupture); the shifting equations in step ③ follow Polymers 2019 and Heliyon 2023.
Fig. 5 Conceptual diagram (vector drawing). Three steps for using Tg and creep in design, organised from the standards [References 4, 5 and 12] and papers [References 14 and 15]. How the steps are divided is this article's own.
Why this matters for materials engineers: every material has its own "Tg story"

Here we reorganize the materials covered in other explainers in this series from the point of view of Tg and creep (our summary, based on the sourced facts in each explainer).

MaterialHow Tg appearsDesign caution
Polyimide (Kapton HN)A second-order transition between 360 and 410 °C is assumed to be Tg. It depends on the measurement technique. No melting point (DuPont) [Reference 18]"High Tg" and "usable for a long time" are different things (UL RTI, thermal life and so on). There is also shrinkage on first heating
Fluoropolymers (PFA 340, PVDF Kynar 740)PVDF has a Tg of −40 °C but a melting point of 168 °C and a deflection temperature under load of 105 °C [Reference 19]. PFA has a melting point of 305 °C, and its flexural modulus at 250 °C is about 9.3% of that at 23 °C [Reference 20]For semicrystalline materials, read not only Tg but the modulus at the service temperature and the definition of continuous service temperature
Epoxy (degradable formulation and others)69.7 to 76.6 °C between the first and second DSC runs. About 25 K lower after post-cure at 140 °C [Reference 21]. 82 to 57 °C on absorbing water [Reference 14]Tg moves with degree of cure, moisture and thermal history. Evaluate including the humidity of the service environment
Copper-clad laminate (MCL-E-795G)260 to 290 °C by TMA, 315 to 345 °C by DMA [Reference 17]Compare values from the same measurement method. That the Z-direction CTE changes greatly around Tg (10 to 15 to 70 to 100 ppm/°C) is a Resonac published value introduced in our explainer on the coefficient of thermal expansion

A checklist for using these in design

  1. Record Tg together with how it was measured: the standard number (DSC / TMA / DMA), heating rate, frequency, which heating run, and how Tg was read (onset, midpoint or peak).
  2. Check Tg under service conditions: measure specimens whose degree of cure, moisture uptake and thermal history match the state in use (in one example moisture moved Tg by 25 K).
  3. Measure the modulus and creep at the temperature of use: ISO 899-1 / 899-2, ASTM D2990. Use an extensometer for design data.
  4. Consider stress relaxation separately: for bolts, gaskets and press fits, the thinking of ASTM E328 is needed apart from creep.
  5. When extrapolating, state the range: Arrhenius type below Tg, WLF type near and above Tg. Do not extrapolate under conditions where nonlinearity or rupture appears.
  6. Do not use deflection temperature under load or continuous service temperature in place of Tg: they are separate yardsticks (Section 2).

10. Challenges and limits

  • Corresponding Japanese standards: Japanese Industrial Standards (JIS) also have test methods for Tg and creep, but we could not confirm their numbers and content on official pages, so this article cites only ISO and ASTM.
  • Range of applicability of TTS: superposition holds only under limited conditions, such as amorphous materials with a single transition. For semicrystalline polymers, strongly crosslinked thermosets and composites, whether it applies has to be verified.
  • Limits of generalizing the constants: the universal values of the WLF constants C1 and C2 are a guide, and need to be adjusted for each material. The calculations in this article are for explanation.
  • Comparing published values: the examples in Fig. 2 and the table in Section 9 are of different materials and do not generalize the differences between measurement methods.
  • Not covered here: quantifying physical aging, theories of the glass transition (free volume, cooperative motion), the difference between the dynamic and static glass transitions, and creep design for fibre-reinforced composites.

11. Glossary

Glass transition temperature (Tg)
A value representing the temperature range over which the amorphous part moves from a hard glassy state to a rubbery one. It varies with the method of measurement.
DSC
Differential scanning calorimetry. The glass transition appears as a step in specific heat, and melting as an endothermic peak.
TMA
Thermomechanical analysis. It measures dimensional change as temperature rises, giving the coefficient of linear thermal expansion and Tg.
DMA
Dynamic mechanical analysis. It measures modulus and related quantities as a function of temperature and frequency.
Storage modulus (E′)
The elastic component of viscoelasticity. It falls sharply above Tg.
tan δ
The ratio of loss modulus to storage modulus. Its peak is sometimes taken as Tg.
Creep
The phenomenon in which deformation grows with time under a constant load.
Stress relaxation
The phenomenon in which stress falls with time under a constant strain.
Time-temperature superposition (TTS)
A method of estimating long-term behaviour by shifting data from different temperatures horizontally.
WLF equation
An equation for the shift factor in the region from near Tg upwards. It uses C1 and C2.
Arrhenius type
A form that expresses temperature dependence through an activation energy. Used in the region below Tg.
Deflection temperature under load
The temperature at which a specimen deflects under load (ISO 75). A separate indicator from Tg.

12. References

  1. ISO "ISO 6721-11:2019 Plastics — Determination of dynamic mechanical properties — Part 11: Glass transition temperature" — https://www.iso.org/standard/74988.html
  2. ISO "ISO 11357-2:2020 Plastics — Differential scanning calorimetry (DSC) — Part 2: Determination of glass transition temperature and step height" — https://www.iso.org/standard/77310.html
  3. ISO "ISO 11359-2:2021 Plastics — Thermomechanical analysis (TMA) — Part 2: Determination of coefficient of linear thermal expansion and glass transition temperature" — https://www.iso.org/standard/81835.html
  4. ISO "ISO 899-1:2017 Plastics — Determination of creep behaviour — Part 1: Tensile creep" — https://www.iso.org/standard/72819.html
  5. ISO "ISO 899-2:2024 Plastics — Determination of creep behaviour — Part 2: Flexural creep by three-point loading" — https://www.iso.org/standard/84391.html
  6. ISO "ISO 75-1:2020 Plastics — Determination of temperature of deflection under load — Part 1: General test method" — https://www.iso.org/standard/77576.html
  7. ISO "ISO 11357-3:2025 Plastics — Differential scanning calorimetry (DSC) — Part 3: Determination of temperature and enthalpy of melting and crystallization" — https://www.iso.org/standard/11357-3
  8. ASTM International "ASTM E1356-25 Standard Test Method for Assignment of the Glass Transition Temperatures by Differential Scanning Calorimetry" — https://store.astm.org/e1356-25.html
  9. ASTM International "ASTM E1545-22 Standard Test Method for Assignment of the Glass Transition Temperature by Thermomechanical Analysis" — https://store.astm.org/e1545-22.html
  10. ASTM International "ASTM E1640-23 Standard Test Method for Assignment of the Glass Transition Temperature By Dynamic Mechanical Analysis" — https://store.astm.org/e1640-23.html
  11. ASTM International "ASTM D3418-21 Standard Test Method for Transition Temperatures and Enthalpies of Fusion and Crystallization of Polymers by Differential Scanning Calorimetry" — https://store.astm.org/d3418-21.html
  12. ASTM International "ASTM D2990 Standard Test Methods for Tensile, Compressive, and Flexural Creep and Creep-Rupture of Plastics" — https://store.astm.org/d2990-17r25.html
  13. ASTM International "ASTM E328 Standard Test Methods for Stress Relaxation for Materials and Structures" — https://store.astm.org/e0328-26.html
  14. Polymers 2019, 11(11), 1848 "Time–Temperature–Plasticization Superposition Principle: Predicting Creep of a Plasticized Epoxy" (DOI: 10.3390/polym11111848, open access) — https://pmc.ncbi.nlm.nih.gov/articles/PMC6918382/
  15. Heliyon 2023, 9, e15816 "TTS package: Computational tools for the application of the Time Temperature Superposition principle" (DOI: 10.1016/j.heliyon.2023.e15816, open access) — https://pmc.ncbi.nlm.nih.gov/articles/PMC10192834/
  16. M. L. Williams, R. F. Landel, J. D. Ferry "The Temperature Dependence of Relaxation Mechanisms in Amorphous Polymers and Other Glass-forming Liquids", J. Am. Chem. Soc. 1955;77:3701-3707 (DOI: 10.1021/ja01619a008; bibliographic details checked in Crossref) — https://doi.org/10.1021/ja01619a008
  17. Resonac "MCL-E-795G" product page (in Japanese) — https://www.resonac.com/jp/products/pwb-materials/base/005.html
  18. DuPont "DuPont™ Kapton® HN Polyimide Film" datasheet K-15345-2 (December 2016 edition). A copy hosted on a distributor's site — https://www.epectec.com/downloads/DuPont-Kapton-HN-Polyimide-Film.pdf
  19. Arkema "KYNAR® 740" technical data sheet (PDF) — https://hpp.arkema.com/assets/arkema/TDS_KYNAR%C2%AE%20740_en_WW.pdf
  20. Chemours "Teflon™ PFA 340" product information (PDF) — https://www.teflon.com/en/-/media/files/teflon/teflon-pfa-340-product-info.pdf?rev=82238a0cd6af4b1dbd58e991fd8cc86d&hash=0055785638604E72525F1DB841F28F11
  21. Polymers 2025, 17(1), 88 "Cleavable Bio-Based Epoxy Matrix for More Eco-Sustainable Thermoset Composite Components" (DOI: 10.3390/polym17010088, open access) — https://pmc.ncbi.nlm.nih.gov/articles/PMC11723220/
  22. M. Hasegawa "Development of Solution-Processable, Optically Transparent Polyimides with Ultra-Low Linear Coefficients of Thermal Expansion", Polymers 2017, 9(10), 520 (DOI: 10.3390/polym9100520, open access) — https://pmc.ncbi.nlm.nih.gov/articles/PMC6418549/
  23. Resonac "Epoxy molding compounds for organic substrates" product page (in Japanese) — https://www.resonac.com/jp/products/semi-backend-process/76/012.html

13. Claim-to-source audit

Claim in the textBasisLabel
ISO 6721-11:2019: how to determine Tg by DMA. Tg is an indicator of the transition from a glassy state to a rubbery or viscous-liquid state in an amorphous polymer or in the amorphous part of a semicrystalline polymer. Measured values may vary with the properties of the material and the test configuration. The DMA temperature sensor is not in contact with the specimen and measures the surrounding temperature, so the data vary with heating rate. It includes a procedure that takes thermal lag into accountISO 6721-11Reference 1 https://www.iso.org/standard/74988.htmlSourced
ISO 11357-2:2020: how to determine Tg and step height by DSC. Applies to amorphous and semicrystalline plasticsISO 11357-2Reference 2 https://www.iso.org/standard/77310.htmlSourced
ISO 11359-2:2021: how to determine the coefficient of linear thermal expansion and Tg by TMAISO 11359-2Reference 3 https://www.iso.org/standard/81835.htmlSourced
ISO 899-1:2017: tensile creep. An extensometer is needed for design data. Specimen preparation, dimensions, environment and thermal history affect creep behaviourISO 899-1Reference 4 https://www.iso.org/standard/72819.htmlSourced
ISO 899-2:2024: flexural creep by three-point bending. A method for obtaining data for design, quality control and research and developmentISO 899-2Reference 5 https://www.iso.org/standard/84391.htmlSourced
ISO 75-1:2020: the general test method for deflection temperature under load (three-point bending load)ISO 75-1Reference 6 https://www.iso.org/standard/77576.htmlSourced
ISO 11357-3:2025: how to determine the temperature and enthalpy of melting and crystallization of crystalline and semicrystalline plastics (the 2018 edition has been withdrawn on revision)ISO 11357-3Reference 7 https://www.iso.org/standard/11357-3Sourced
ASTM E1356-25: assigning Tg by DSC. The glass transition appears as a step in specific heat. Applies to amorphous materials or semicrystalline materials with an amorphous region. Temperature range of use −120 to 500 °CASTM E1356Reference 8 https://store.astm.org/e1356-25.htmlSourced
ASTM E1545-22: assigning Tg by TMA (compression). That the glass transition depends on the thermal history of the material. Applies to materials rigid enough to resist penetration by the probe. Temperature range of use −100 to 600 °CASTM E1545Reference 9 https://store.astm.org/e1545-22.htmlSourced
ASTM E1640-23: assigning Tg by DMA. Ideally the onset of the fall in storage modulus indicates the glass transition. That the glass transition takes place over a range of temperature, that the standard assigns one temperature to represent it, and that Tg can differ by technique. That DMA is a means of monitoring and quantifying how viscoelastic properties change with temperature and frequency. Covers materials with a modulus of 0.5 MPa to 100 GPaASTM E1640Reference 10 https://store.astm.org/e1640-23.htmlSourced
ASTM D3418-21: the DSC test method for transition temperatures and enthalpies of fusion and crystallization of polymersASTM D3418Reference 11 https://store.astm.org/d3418-21.htmlSourced
ASTM D2990: that creep and creep-rupture data are needed to predict creep modulus, strength and dimensional change under long-term loadASTM D2990Reference 12 https://store.astm.org/d2990-17r25.htmlSourced
ASTM E328: that stress relaxation data are needed for designs such as bolt and rivet fastening, press fits and gasket clampingASTM E328Reference 13 https://store.astm.org/e0328-26.htmlSourced
Tg of the amine-cured epoxy (Hexion Epikote RIMR135 / Epikure RIMH137, 100:30) (DMTA, ISO 6721; dry 82 / 83 / 84 °C, wet 57 / 60 / 62 °C at 0.1 / 1 / 10 Hz, ±2 °C), water saturation of 3.44 wt% (60 °C, two months), creep tests at 10 MPa for 3 h at each temperature, shift factors log aT (dry: +1.98 at 15 °C, −2.09 at 40 °C, −4.82 at 60 °C; wet: +1.51, −2.47, −5.72), activation energies (dry 277 kJ/mol, wet 297 kJ/mol), tensile strength (dry 60.5 MPa, wet 48.5 MPa), rupture of the wet specimen at 60 °C, physical aging, and that the master curve is valid only below TgPolymers 2019, 11, 1848Reference 14 https://pmc.ncbi.nlm.nih.gov/articles/PMC6918382/Sourced
The explanation of TTS; the WLF equation log10 aT = −C1(T − Tg)/(C2 + (T − Tg)); that C1 = 17.44 and C2 = 51.6 are constants usable from Tg to Tg + 100 K for many amorphous polymers and should be treated as adjustable parameters; the Arrhenius equationHeliyon 2023Reference 15 https://pmc.ncbi.nlm.nih.gov/articles/PMC10192834/Sourced
That the original source of the WLF equation (Williams, Landel and Ferry, J. Am. Chem. Soc. 1955, 77, 3701-3707) exists (the bibliographic details were checked in Crossref; we have not consulted the text, and the values of the constants are from the description in Heliyon 2023)Williams et al. (1955)Reference 16 https://doi.org/10.1021/ja01619a008Sourced
Resonac MCL-E-795G: Tg of 260 to 290 °C by TMA and 315 to 345 °C by DMA, heating rate 10 °C/min, and a note that the values are measured values, not guaranteed valuesResonac product pageReference 17 https://www.resonac.com/jp/products/pwb-materials/base/005.htmlSourced
Kapton HN: a second-order transition between 360 and 410 °C is assumed to be Tg, and results differ by measurement technique. No melting pointDuPont datasheetReference 18 https://www.epectec.com/downloads/DuPont-Kapton-HN-Polyimide-Film.pdfSourced
Kynar 740: Tg −40 °C (ISO 11357-1/-2), melting point 168 °C (ISO 11357-1/-3, 10 °C/min), deflection temperature under load 105 °C (1.8 MPa, ISO 75-1/-2)Arkema Kynar 740Reference 19 https://hpp.arkema.com/assets/arkema/TDS_KYNAR%C2%AE%20740_en_WW.pdfSourced
PFA 340: melting point 305 °C, flexural modulus of 590 MPa (23 °C) and 55 MPa (250 °C), and the definition of continuous service temperatureChemours PFA 340Reference 20 https://www.teflon.com/en/-/media/files/teflon/teflon-pfa-340-product-info.pdf?rev=82238a0cd6af4b1dbd58e991fd8cc86d&hash=0055785638604E72525F1DB841F28F11Sourced
Tg of the degradable bio-based epoxy (DSC, 20 °C/min; first run 69.7 / 68.0 / 51.7 °C, second run 76.6 / 72.7 / 50.9 °C), and a fall of about 25 K after post-cure at 140 °CPolymers 2025, 17, 88Reference 21 https://pmc.ncbi.nlm.nih.gov/articles/PMC11723220/Sourced
The target for a heat-resistant plastic substrate (Tg above 350 °C, ideally above 400 °C, or no clear Tg detected by DMA)Hasegawa (2017)Reference 22 https://pmc.ncbi.nlm.nih.gov/articles/PMC6418549/Sourced
That the table for the organic-substrate encapsulant CEL-9700 HF10 lists Tg 125 °C, α1 6 and α2 27 ppm/°C, and that we could find no statement of the method or conditionsResonac encapsulant pageReference 23 https://www.resonac.com/jp/products/semi-backend-process/76/012.htmlSourced
The 55 K difference between the TMA and DMA midpoints for MCL-E-795G (minimum 25 K to maximum 85 K), the Tg change for 0.1 to 10 Hz (+2 K and +5 K), the change with moisture (−25 K), and the DSC first to second run change (+6.9 K). The reproduction of log aT by the Arrhenius equation (+1.85, −2.16, −4.94). The conversion factors from the WLF equation (Tg + 10 K: −2.83, Tg + 20 K: −4.87, Tg + 50 K: −8.58), and how many hours at Tg correspond to one hour (about 678 hours, about 74,000 hours = about 8.5 years, about 380 million hours)Our calculation. Differences between published values, and calculations with the Arrhenius equation (Ea = 277 kJ/mol, R = 8.314) and the WLF equation (C1 = 17.44, C2 = 51.6); the assumptions are given in each section. Not predictions for any real materialOur calculation
The explanation of E′, E″ and tan δ; the framing of Tg as a change over a range rather than a point, and of the difference between melting point and Tg; the shape of the curves in Fig. 1; the checklist; the "Tg story" for each material; and the separation of deflection temperature under load and continuous service temperature as different yardsticksOur summary and commentary based on published content. Fig. 1 is a schematic, not a measurement. The definitions of E′, E″ and tan δ follow the general definitions used in DMACommentary
The numbers and content of JIS test methods for Tg and creep, the quantification of physical aging, and whether TTS applies to semicrystalline polymers and compositesNot stated, because they could not be confirmed on official pages within the scope of this article, or are not coveredNot yet confirmed
That Figs. 1, 2, 3, 4 and 5 are explanatory drawings, and that the hero image is an AI-generated image. That Figs. 2 and 3 are this article's own drawings of published valuesNote by this articleCommentary

Last updated 2 October 2026. Sources are limited to primary material (the official pages of standards bodies, manufacturers' product pages and datasheets, and peer-reviewed papers). The values of Tg, creep and conversion factors are published values for specific materials and test conditions, or calculations for explanation, and are not generalized to other materials. Corresponding JIS standards, the quantification of physical aging, and whether time-temperature superposition applies to semicrystalline polymers and composites are not stated here because they could not be confirmed within the scope of this article. Figs. 1, 2, 3, 4 and 5 are vector drawings; the hero image is an AI-generated image, and none of them shows a real measured curve or test apparatus.

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