Continuum mechanics studies of plastic instabilities

Continuum mechanics studies of plastic instabilities

2014 The continuum mechanics framevork for analyzing necking and shear band instabilities is discussed. The predicted onset of instability depends sensitively on the material’s constitutive characterization, not only through properties, such as strain hardening and strain rate sensitivity, that can be measured in proportional loading tests, but also through the material’s response to a change i...

‌Progressive Damage Analysis of Laminated Composites using Continuum Damage Mechanics

In this paper, progressive damage and global failure of composite laminates under quasi-static, monotonic loading are investigated using 3D continuum damage mechanics. For this purpose, a finite element program has been developed using an eight-node 2D layered element including layer-wise plate theory. Damage analysis of a single orthotropic layer under various uniform in-plane and transverse l...

Strain nonuniformities and plastic instabilities

Self-organization of dislocation structures, slip line and band patterning, and macroscopic plastic instabilities are typical manifestations, at different scales of observation, of nonlinear cooperative phenomena. This general aspect is discussed with emphasis on the relations between the dynamic properties of dislocations, their collective behavior, the local plastic properties of a material a...

Introduction to Continuum Mechanics

Continuum Thermo-Mechanics Fundamentals

We assume that at the continuum scales of interest here, the mass density ⇢ as well as the the momentum per unit volume ⇢u can be interpreted as well-defined averages of microscopic masses and momenta. That is, they are averages over minute spatial regions and time intervals, which can nevertheless be chosen large enough that there are negligible statistical fluctuations about those averages at...