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Updated: Aug 9, 2025

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
Time-Temperature Superposition Principle in Shearing Tests Compared to Tension Conditions for Polymers Close to Glass
Noëlle Billon1, Carlos Eloy Federico1, Guilhem Rival1
1Mines Paris, PSL University, Centre for Material Forming (CEMEF), UMR CNRS 7635, 06904 Sophia Antipolis, France.
This study extends time-temperature superposition (TTS) to shear conditions for polymethylmethacrylate (PMMA), revealing its relevance even at high strains. Findings suggest compressibility influences shift factors in complex mechanical loadings.
Area of Science:
- Polymer Science
- Materials Science
- Rheology
Background:
- Time-temperature superposition (TTS) is crucial for polymers near their glass transition.
- TTS has been validated for linear viscoelasticity and large tensile deformations.
- TTS in shear conditions, especially at high strains, remained unaddressed.
Purpose of the Study:
- To investigate the applicability of TTS in shear conditions for polymers.
- To compare TTS behavior in shear versus tensile conditions across various strain levels.
- To explore the determination of shift factors and the influence of compressibility.
Main Methods:
- Experimental testing of polymethylmethacrylate (PMMA) with varying molar masses.
- Application of TTS principle under shear and tensile loading conditions.
- Analysis of low and high strain responses to assess TTS validity.
Main Results:
- Demonstrated the successful application of TTS in shear for PMMA.
- Compared shear TTS with tensile TTS, highlighting similarities and differences at high strains.
- Identified potential dependence of shift factors on compressibility.
Conclusions:
- The principle of time-temperature superposition is relevant for shear conditions, even at large deformations.
- Compressibility should be considered when determining shift factors for complex mechanical loadings.
- This research provides new insights into polymer behavior under diverse mechanical stresses.
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