INTRODUCTION Investigations of bone stiffness and strength based on continuum finite element (FE) models have big advantages in terms of computational cost when compared to micro FE models. A nonlocal elastoplastic constitutive law with damage that leads to softening has recently been developed for the compressive behavior of trabecular bone [1]. Mechanical tests on human trabecular bone biopsi...

A nonlocal constitutive formulation for a porous ductile material is investigated, in which delocalizadon relates to the damage mechanism. An elastic-viscoplastic material model is used, with delocalization incorporated in terms of an integral condition on the rate of increase of the void volume fraction. Two model problems are analysed to study the effect of including this material length, one...

Abstract We call nonlinear dilatational strain gradient elasticity the theory in which specific class of second continua is considered: those whose deformation energy depends, an objective way, on placement and determinant placement. It interesting particular case complete Toupin–Mindlin elasticity: indeed, it, only effects are due to inhomogeneous dilatation state considered deformable body. T...

The present investigation examines the range of effect nonlocal parameters on dynamic behavior a smart beam-like nanostructure modeled as sandwich functionally graded porous nanobeam with piezoelectric layers. Therefore, study is concentrated determining length structure for which effects are observed vibration under in-plane electro-mechanical forces. nanobeam-based NEMS device model obtained ...