Modeling of the evolution of distributed damage such as microcracking, void formation, and
softening frictional slip necessitates strain-softening constitutive models. The nonlocal …

Over the last three decades, a number of researchers have used the gradient-enhanced
plasticity theory to model the microstructural material behavior, which is not able to be …

The aim of this paper is to apply a Helmholtz‐type partial differential equation as an
alternative to standard density filtering in topology optimization problems. Previously, this …

Extending recent modeling efforts for emulsions, we propose a nonlocal fluidity relation for
flowing granular materials, capturing several known finite-size effects observed in steady …

A unifying thermomechanical framework is presented that reconciles several classes of
gradient elastoviscoplasticity and damage models proposed in the literature during the last …

This paper presents the detailed implementation and computational aspects of a novel
second-order computational homogenization procedure, which is suitable for a multi-scale …

In mechanical engineering and structural analysis there is a significant gap between the
material models currently used by engineers for industry applications and those already …

Nonlocal integral and/or gradient enhancements are widely used to resolve the mesh
dependency issue with standard continuum damage models. However, it is reported that …

The paper analyzes and compares a number of softening plasticity models regularized by
nonlocal averaging. To highlight the fundamental properties and gain insight into the …

The definition and magnitude of the intrinsic length scale are keys to the development of the
gradient plasticity theory that incorporates size effects. However, a fixed value of the material …