Description
This book is the first organized collection of some results that have been obtained by the authors, their collaborators, and other researchers in the variational approach to structured deformations. It sets the basis and makes more accessible the theoretical apparatus for assigning an energy to a structured deformation, thereby providing motivation to researchers in applied mathematics, continuum mechanics, engineering, and materials science to study the deformation of a solid body without committing at the outset to a specific mechanical theory. Researchers will benefit from an approach in which elastic, plastic, and fracture phenomena can be treated in a unified way.
Table of Contents
1. Introduction.- 2. Mathematical preliminaries.- 3. Energetic relaxation to first-order structured deformations.- 4. Energetic relaxation to second-order structured deformations.- 5. Outlook for future research.
