Using the tool of two-scale convergence, we provide a rigorous mathematical setting for the homogenization result obtained by Fleck and Willis (J. Mech. Phys. Solids, 2004) concerning the effective plastic behaviour of a strain gradient composite material. Moreover, moving from deformation theory to flow theory, we prove a convergence result for the homogenization of quasistatic evolutions in t...

This paper proposes a framework for the constitutive model based on the semi-micromechanical aspects of plasticity, including damage progress for simulating behavior of concrete under multiaxial loading. This model is aimed to be used in plastic and fracture analysis of both regular and reinforced concrete structures, for the framework of sample plane crack approach. This model uses multilamina...

The contribution of kinematic hardening to the overall strain a high entropy alloy (HEA) was investigated for first time ever. It assessed single-phase equiatomic CoCrFeMnNi based on study Bauschinger effect. observed occurrence back stresses signifies substantial hardening. We attribute it low probability cross-slip in this HEA which, however, rises process straining. A model that captures men...

We consider rate-independent models of static and quasistatic plasticity with hardening. These models are usually stated in terms of variational inequalities of the first or second kind, for the primal and dual formulations, respectively. In the static case, the dual variational inequality can be interpreted as the necessary and sufficient optimality conditions for an underlying optimization pr...

Numerical modeling of the stress–strain state composite materials such as fiber-reinforced concrete is a considerable computational challenge. Even if grid with resolution all inclusions built, it will take great amount time for most powerful clusters to calculate deformations one block ideal parallelization. To solve this problem, method numerical homogenization actively used. However, when pl...

In this paper, an elastoplastic constitutive model is presented for predicting sandy soil behavior under monotonic and cyclic loadings. The model is based on the CJS3 model that takes into account deviatoric and isotropic mechanisms of plasticity. The flow rule in deviatoric mechanism is non-associated and a kinematic hardening law controls the evolution of the yield surface. In the present s...