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A macroscopic elastoplastic constitutive law for multilayered media: Application to reinforced earth material
Summary
A macroscopic elastoplastic constitutive law was formulated for multilayered media using thermodynamics and homogenization theory, enabling efficient modeling of layered materials without resolving each layer individually. The model treats microplastic strains as internal state variables and was applied to simulate the behavior of geological or engineering layered systems.
Abstract This paper refers to the formulation of a macroconstitutive law for elastoplastic multilayered media, using both thermodynamical approach and homogenization procedure. The latter shows that both the microstress and strain tensors are constant in each constituent. This result permits the formulation of a macroconstitutive law involving the microplastic strains as internal parameters. Both the macrofree energy and dual dissipation potential are computed and used to derive explicit expressions for the macrocompliance tensor, yield surface and hardening rule. Finally, this law is used to analyse the behavior of a reinforced earth material under various loading paths.