This book deals with a class of mathematical problems which involve the minimization of the
sum of a volume and a surface energy and have lately been refered to as' free discontinuity …

This study develops a general framework for discussing both isotropic-viscoplastic materials
and amorphous materials. The framework, which allows for large deformations, is based on …

This paper reviews recent theories of nonclassical, structured deformations and integral
representations for their Helmholtz free energy. Energy minimizers for a body undergoing …

The aim of the present article is a description of the many phenomenological aspects of
fracture and of their relations with other inelastic phenomena, such as the formation of …

Structured deformations are used to refine the basic ingredients of continuum field theories
and to derive a system of field equations for elastic bodies undergoing submacroscopically …

This paper deals with equilibrium problems in non-linear dissipative inelasticity of damaged
membranes. The inelastic constitutive law is obtained by modifying the classical constitutive …

A continuum model suitable for the description of microcracked bodies is shown. The
influence of microcracks on the mechanical behavior of the body is estimated through a …

Structured deformations provide a multi-scale geometrical setting for resolving the fields
occurring in continuum mechanics into two parts: the part arising from smooth changes at …

The complexity and variety of geometrical changes in physical systems at submacroscopic
levels has led to various approaches to the broadening of the classical theory of finite …

Elasticity is viewed here as a starting point in the description of inelastic behavior. Structured
deformations and a field theory of elastic bodies undergoing disarrangements (non-smooth …