A generalized mechanical model using stress–strain duality at large strain for amorphous polymers

C. A. Bernard, D. George, S. Ahzi, Y. Rémond

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


Numerous models have been developed in the literature to simulate the thermomechanical behavior of amorphous polymers at large strain. These models generally show a good agreement with experimental results when the material is submitted to uniaxial loadings (tension or compression) or in the case of shear loadings. However, this agreement is highly degraded when they are used in the case of combined load cases. A generalization of these models to more complex loads is scarce. In particular, models that are identified in tension or compression often overestimate the response in shear. One difficulty lies in the fact that 3D models must aggregate different physical modeling, described with different kinematics. This requires the use of transport operators complex to manipulate. In this paper, we propose a mechanical model for large strains, generalized in 3D, and precisely introducing the adequate transport operators in order to obtain an exact kinematic. The stress–strain duality is validated in the writing of the power of internal forces. This generalized model is applied in the case of a polycarbonate amorphous polymer. The simulation results in tension/compression and shear are compared with the classical modeling and experimental results from the literature. The results greatly improve the numerical predictions of the mechanical response of amorphous polymers submitted to any load case.

Original languageEnglish
Pages (from-to)386-400
Number of pages15
JournalMathematics and Mechanics of Solids
Issue number3
Publication statusPublished - 2021 Mar


  • Mechanical modeling
  • amorphous polymer
  • large strain
  • shear behavior
  • solid kinematics
  • uniaxial behavior


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