An alternative J₂ material model with isotropic hardening for coupled thermal-structural finite-strain elastoplastic analyses

Abstract

In this paper an alternative J2 material model with isotropic hardening for finite-strain elastoplastic analyses is presented. The model is based on a new nonlinear continuum mechanical theory of finite deformations of elastoplastic media which allows us to describe the plastic flow in terms of various instances of the yield surface and corresponding stress measures in the initial and current configurations of the body. The approach also allows us to develop thermodynamically consistent material models in every respect. Consequently, the models not only do comply with the principles of material modelling, but also use constitutive equations, evolution equations and even ‘normality rules’ during return mapping which can be expressed in terms of power conjugate stress and strain measures or their objective rates. Therefore, such models and the results of the analyses employing them no longer depend on the description and the particularities of the material model formulation. Here we briefly present an improved version of our former material model capable of modelling ductile-to brittle failure mode transition and demonstrate the model in a numerical example using a fully coupled thermal-structural analysis.

Temperature rise caused by adiabatic shear failure in 3D braided composite tube subjected to axial impact compression

“…The J2 plasticity is a famous and classical plasticity theory widely used in almost every area in industry engineering because of its simple mathematical form based on the Mises yield condition, which can be solved using numerical method such as FEM. 34,35 Because epoxy resin used in this investigation has typical elastic–plastic characteristics, ductile criterion is used as the initial damage criterion in this article. This conforms to the application of J2 isotropic plastic hardening theory.…”

FE Prediction and Extrapolation of Multiaxial Ratcheting for R7T Steel

“…From the material point of view, the material revealing cyclic softening is more dangerous because the ratcheting with increasing plastic strain increment is usually experimentally observed [7]. The ratcheting behaviour is strongly temperature dependent as could be expected and the constitutive modelling needs a special treatment for finite strain analysis [8]. There are new theories in cyclic plasticity suitable for ratcheting prediction, which are mostly based on the Chaboche model [9] with the nonlinear kinematic hardening rule of Armstrong-Frederick type [10].…”