Analysis of the Governing Relations of the Endochronic Theory of Plasticity of Orthotropic Materials

Abstract

The article presents the use of the endochronic theory of plasticity of orthotropic materials to describe the nonlinear deformation of orthotropic materials under force loading. The governing relations are obtained by introducing a tensor internal state parameter and a relaxation time tensor. These relations are presented in integral and differential form. By considering various types of relaxation time tensor and hardening function, three models of this theory have been proposed. For each model, dependences were obtained for the case of simple loading, models without strain hardening function are represented by analytical expressions. Analysis of these dependencies allowed establishing the connection between model material parameters and their influence on the nonlinear behavior of the material, as well as to propose a methodology for their experimental determination. A similar analysis was performed for multilayer composite materials. A comparison of the computational-theoretical results with known experimental data for a transversally isotropic material (boron-aluminum) and a multilayer composite AS4/PEEK showed that the model with a single relaxation time is not suitable for describing triaxial loading, while the model with several relaxation times and a hardening function most accurately corresponds to experimental data. For multilayer materials without pronounced linear hardening, it is possible to use simpler versions of the theory without the hardening function. The analysis of different variants of the endochronic theory of plasticity of orthotropic materials allows for a deeper understanding of the influence of model parameters on the behavior of composite materials and can serve as a basis for further research

The work was supported by the Ministry of Science and Higher Education of the Russian Federation (project FSFN-2024-004)

Please cite this article in English as:

Rakhimov D.R. Analysis of the governing relations of the endochronic theory of plasticity of orthotropic materials. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2025, no. 1 (118), pp. 65--81 (in Russ.). EDN: EMQJGS

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