This paper studies the plane constrained shear problem for single crystals having one active slip system and subjected to loading in both directions within small strain thermodynamic dislocation theory proposed by Le (J Mech Phys Solids 111:157–169, 2018). The numerical solution of boundary value shows combined isotropic kinematic work hardening, sensitivity stress–strain curves temperature rat...

An efficient numerical integration scheme is proposed for the uniaxial loading of two-layer viscoplastic (TLVP) model, which a built-in material model in commercial finite element software Abaqus. The particular version TLVP under investigation governed by linear isotropic plastic hardening rule with time-hardening nonlinear creep law. new can be easily implemented any programming environment l...

Abstract The paper aims to investigate the fatigue behavior of widely used AA2024‐T351 aluminum alloy in aircraft industry. An experimental program was conducted study life and damage under symmetrical tensile‐compressive loading. Cyclic tests low cycle regime were performed fully reversed total strain amplitudes from 0.6% 1.2%. exhibited cyclic hardening until failure. Symmetric high also para...

In this paper a numerical approach of the elasto-plastic problem with mixed hardening in the plane stress state, within the classical constitutive framework of small deformation, is proposed. In the formalized problem, the non-zero normal component of the strain (namely, the component in the direction perpendicular to the plane of stress) is considered to be compatible with the plane stress. We...

The authors consider antiplane shearing motions of an incompressible visco-plastic solid. The particular constitutive equation employed assumes that the stress tensor has an “elastic” component and a component which can exhibit hysteresis. The model exhibits both “kinematic” and “isotropic” hardening. Our results consist of a set of energy type estimates for the resulting system, L2 contractivi...

In order to investigate the behavior of elastoplastic composites exhibiting both isotropic and nonlinear kinematic hardening, we extend Double Incremental Variational (DIV) formulation Lucchetta et al. (2019), based on incremental variational principles introduced by Lahellec Suquet (2007) proposed Agoras (2016). However, Armstrong-Frederick model (Armstrong Frederick), which is very often used...