Overview
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.
Full Product Details
Author: Stuart Antman
Publisher: Springer-Verlag New York Inc.
Imprint: Springer-Verlag New York Inc.
Edition: 2nd ed. 2005
Volume: 107
Dimensions:
Width: 15.50cm
, Height: 4.40cm
, Length: 23.50cm
Weight: 1.560kg
ISBN: 9780387208800
ISBN 10: 0387208801
Pages: 838
Publication Date: 14 September 2005
Audience:
College/higher education
,
Professional and scholarly
,
Tertiary & Higher Education
,
Professional & Vocational
Replaced By: 9783031313141
Format: Hardback
Publisher's Status: Active
Availability: In Print
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Reviews
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)
From the reviews of the second edition: <p> 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. a ] 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) <p> 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 a ] to specialists dealing with applications of differential equations and bifurcation theory. (Boris V. Loginov, Zentralblatt MATH, Vol. 1098 (24), 2006) <p> Antmana (TM)s impressive work is a ] a comprehensive treatise on nonlinear elasticity and a quintessential example of applied nonlinear analysis. a ] The text has been revised and updated, Several new sections have been added a ] This book is a a ~musta (TM) for researchers and graduate students interested in nonlinear continuum mechanics and applied analysis. The work is scholarly and well written. a ] a ~This book is directed toward scientists, engineers, and mathematicians who wish to see careful treatments of uncompromised problems.a (TM) (Timothy J. Healey, SIAM Review, Vol. 49 (2), 2007)
