In this work, we present the implementation and verification of HiGTree-HiGFlow solver (see for numerical simulation KBKZ integral constitutive equation. The method proposed herein is a finite difference technique using tree-based grids. advantage hierarchical grids that they allow us to achieve great accuracy in local mesh refinements. A moving least squares (MLS) interpolation used adapt disc...

A coupled elastoplastic-damage constitutive model taking into account chemo-induced elastoplastic-damage effects for the modeling of coupled chemothermo-hygro-mechanical behavior of concretes at high temperature is proposed in this article. A three-step operator split algorithm for the integration of the rate coupled constitutive equations is developed. Consistent tangent modulus matrices for c...

In this paper, we develop nonlinear constitutive equations and resulting system models quantifying the nonlinear and hysteretic field-displacement relations inherent to piezoceramic elements employed in present nanopositioner designs. We focus specifically on piezoceramic rods utilizing d33 motion and piezoceramic shells driven in d31 regimes, but the modeling framework is sufficiently general ...

Weierstrass’s theory is a standard qualitative tool for single degree of freedom equations, used in classical mechanics and in many textbooks. In this note we show how a simple generalization of this tool makes it possible to identify some differential equations for which compact and even semi-compact travelling solitary waves exist. In the framework of continuum mechanics, these differential e...