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Energetic Relaxation to Structured Deformations

Energetic Relaxation to Structured Deformations A Multiscale Geometrical Basis for Variational Problems in Continuum Mechanics - SpringerBriefs on PDEs and Data Science

Paperback (19 Apr 2023)

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Publisher's Synopsis

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.

​The book is intended for an audience acquainted with measure theory, the theory of functions of bounded variation, and continuum mechanics. Any students in their last years of undergraduate studies, graduate students, and researchers with a background in applied mathematics, thecalculus of variations, and continuum mechanics will have the prerequisite to read this book.

Book information

ISBN: 9789811987991
Publisher: Springer Nature Singapore
Imprint: Springer
Pub date:
DEWEY: 620.1123
DEWEY edition: 23
Language: English
Number of pages: 152
Weight: 240g
Height: 235mm
Width: 155mm
Spine width: 9mm