Nonlinear Problems of Elasticity

Stuart Antman

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English

Springer Verlag
01 June 2005

Mathematics & Sciences; Applied mathematics; Classical mechanics; Mechanics of solids

Series: Applied Mathematical Sciences

This second edition is an enlarged, completely updated, and extensively revised version of the authoritative first edition. It is devoted to the detailed study of illuminating specific problems of nonlinear elasticity, directed toward the scientist, engineer, and mathematician who wish to see careful treatments of precisely formulated problems. Special emphasis is placed on the role of nonlinear material response. The mathematical tools from nonlinear analysis are given self-contained presentations where they are needed. This book begins with chapters on (geometrically exact theories of) strings, rods, and shells, and on the applications of bifurcation theory and the calculus of variations to problems for these bodies. The book continues with chapters on tensors, three-dimensional continuum mechanics, three-dimensional elasticity, large-strain plasticity, general theories of rods and shells, and dynamical problems. Each chapter contains a wealth of interesting, challenging, and tractable exercises.

By: Stuart Antman
Imprint: Springer Verlag
Country of Publication: United States
Edition: 2nd ed.
Volume: v. 107
Dimensions: Height: 235mm, Width: 155mm, Spine: 44mm
Weight: 1.560kg
ISBN: 9780387208800
ISBN 10: 0387208801
Series: Applied Mathematical Sciences
Pages: 856
Publication Date: 01 June 2005
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active

Reviews for Nonlinear Problems of Elasticity

From the reviews of the second edition: This second edition accounts for the developments since the first edition was published, and differs from the first edition in many points. The book has been reorganized and several parts have been added. ... The already impressive body of references has been further expanded. The reviewer highly recommends this book both to graduate students and to scholars interested in the theory of elasticity. (Massimo Lanza de Cristoforis, Mathematical Reviews, Issue 2006 e) The second extended edition of the reviewed monograph gives a fundamental presentation of problems of nonlinear elasticity. Every chapter is equipped by instructive exercises, unsolved problems and exhaustive historical comments. The book could be very useful to applied mathematicians and engineers using in their works the elasticity theory and ... to specialists dealing with applications of differential equations and bifurcation theory. (Boris V. Loginov, Zentralblatt MATH, Vol. 1098 (24), 2006) Antman's impressive work is ... a comprehensive treatise on nonlinear elasticity and a quintessential example of applied nonlinear analysis. ... The text has been revised and updated, Several new sections have been added ... This book is a 'must' for researchers and graduate students interested in nonlinear continuum mechanics and applied analysis. The work is scholarly and well written. ... 'This book is directed toward scientists, engineers, and mathematicians who wish to see careful treatments of uncompromised problems.' (Timothy J. Healey, SIAM Review, Vol. 49 (2), 2007)