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Energetic Relaxation to Structured Deformations: A Multiscale Geometrical Basis for Variational Problems in Continuum Mechanics

Energetic Relaxation to Structured Deformations: A Multiscale Geometrical Basis for Variational Problems in Continuum Mechanics

Paperback

Series: Springerbriefs on Pdes and Data Science

General MathematicsPhysics

ISBN10: 9811987998
ISBN13: 9789811987991
Publisher: Springer
Published: Apr 19 2023
Pages: 152
Weight: 0.53
Height: 0.35 Width: 6.14 Depth: 9.21
Language: English
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.

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Physics