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Energetic relaxation to structured deformationsa multiscale geometrical basis for variational problems in continuum mechanics /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Energetic relaxation to structured deformationsby Jose Matias, Marco Morandotti, David R. Owen.
其他題名:	a multiscale geometrical basis for variational problems in continuum mechanics /
作者:	Matias, Jose.
其他作者:	Morandotti, Marco.
出版者:	Singapore :Springer Nature Singapore :2023.
面頁冊數:	xii, 152 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Deformations (Mechanics)
電子資源:	https://doi.org/10.1007/978-981-19-8800-4
ISBN:	9789811988004$q(electronic bk.)

Energetic relaxation to structured deformationsa multiscale geometrical basis for variational problems in continuum mechanics /
Matias, Jose.

Energetic relaxation to structured deformationsa multiscale geometrical basis for variational problems in continuum mechanics /[electronic resource] :by Jose Matias, Marco Morandotti, David R. Owen. - Singapore :Springer Nature Singapore :2023. - xii, 152 p. :ill., digital ;24 cm. - SpringerBriefs on PDEs and data science,2731-7609. - SpringerBriefs on PDEs and data science..

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.

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.

ISBN: 9789811988004$q(electronic bk.)

Standard No.: 10.1007/978-981-19-8800-4doiSubjects--Topical Terms:

190358
Deformations (Mechanics)

LC Class. No.: TA417.6

Dewey Class. No.: 620.1123

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