A phenomenological constitutive relation using the conventional J2-fiow isotropic hardening yield function as well as a threshold shear stress based yield function that governs a 'directionally preferred plastic component' of shear strain, developed by the authors in an earlier work, is used for the simulation of the shear band formation. The constitutive relation which is expressed as an expli...

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...

The influence on macroscopic work hardening of small, spherical, elastic particles dispersed within a matrix is studied using an isotropic strain gradient plasticity framework. An analytical solution for hardening, i.e. the flow stress as function plastic strain, based recently developed model initial yield strength proposed. accounts random variations in particle size and properties, numerical...

Abstract In this contribution, a model for the thermomechanically coupled behaviour of case hardening steel is introduced with application to 16MnCr5 (1.7131). The based on decomposition free energy into thermo-elastic and plastic part. Associated viscoplasticity, in terms temperature-depenent Perzyna-type power law, combination an isotropic von Mises yield function takes respect strain-rate de...

The Yoshida nonlinear isotropic/kinematic hardening material model is often selected in forming simulations where an accurate springback prediction is required. Many successful application cases in the industrial scale automotive components using advanced high strength steels (AHSS) have been reported to give better springback predictions. Several issues have been raised recently in the use of ...

Abstract In this paper a selected type of elasto-viscoplastic constitutive equations is considered. The viscoplastic model which was proposed by Marquis generalized allowing multiple terms describing the isotropic and kinematic hardening. Furthermore, presented formulation enables one to use an arbitrary equivalent plastic strain function describe hardening behavior. What more, backstress evolu...