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

This book is the first organized collection of results obtained by the authors, collaborators, and other researchers in the variational approach to structured deformations. It provides a theoretical apparatus for assigning an energy to a structured deformation, making it accessible to researchers in applied mathematics, continuum mechanics, engineering, and materials science.

Format: Paperback / softback
Length: 152 pages
Publication date: 19 April 2023
Publisher: Springer Verlag, Singapore

This comprehensive book represents the first organized compilation of remarkable findings achieved by the authors, their collaborators, and other esteemed researchers in the field of variational approaches to structured deformations. By establishing a solid foundation and making the theoretical framework for assigning energy to structured deformations more accessible, it serves as a motivating force for scholars in applied mathematics, continuum mechanics, engineering, and materials science to delve into the study of solid body deformation without being bound by a specific mechanical theory from the outset.

Researchers will greatly benefit from an approach that enables the simultaneous treatment of elastic, plastic, and fracture phenomena in a unified manner. The book is specifically designed for an audience with a solid foundation in measure theory, the theory of functions of bounded variation, and continuum mechanics. It is an invaluable resource for students in their final years of undergraduate studies, graduate students, and researchers with backgrounds in applied mathematics, the calculus of variations, and continuum mechanics.

Through its extensive coverage and detailed explanations, this book provides a valuable resource for anyone seeking to understand the principles and applications of variational approaches to structured deformations. It serves as a cornerstone for further research and development in this field, opening up new avenues for exploring the complex dynamics and behavior of materials under various loading conditions.

Weight: 261g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811987991
Edition number: 1st ed. 2023