EAN: 9789811987991

SPRINGERBRIEFS ON PDES AND DATA SCIENCE ENERG...

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  the calculus of variations  and continuum mechanics will have the
prerequisite to read this book.

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