Abstract This work presents a viscoplastic localization criterion to detect quasi‐instantaneous (i.e., load‐induced) and delayed (creep‐induced) strain in rate‐dependent solids. The study is based on the theory of controllability description mechanical response. Analytical precursors unstable states are defined through systems ordinary differential equations (OEDs). use proposed criteria illust...

An unified viscoplastic model with internal kinematic variables is used to improve the description of the uniaxial and proportional loadings performed in the pseudoelastic range of shape memory alloys. There is a good agreement between experimental data and simulations. Moreover, this constitutive set of equations is efficient for the description of internal loops and the isothermal cyclic load...

The evolution of microstructure and texture during wire drawing of pearlitic steel was studied using scanning electron microscopy and X-ray diffraction. Wire drawing induces elongation of ferrite grains with the development of <110> fibre texture. The cementite lamellae also have a tendency to reorient themselves along the wire axis with increasing strain. Viscoplastic self-consistent simulatio...

We study the existence theory to quasistatic initial-boundary value problems with internal variables, which model the viscoelastic or viscoplastic behavior of solids at small strain. In these problems a system of linear partial differential equations coupled with a nonlinear system of differential equations or differential inclusions must be solved. The solution theory is based on monotonicity ...

Abstract