Nonlinear Problems of Elasticity: II: 3-Dimensional Bodies
Antman, Stuart S.
- 出版商: Springer
- 出版日期: 2024-10-27
- 售價: $5,620
- 貴賓價: 9.5 折 $5,339
- 語言: 英文
- 頁數: 376
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031313291
- ISBN-13: 9783031313295
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商品描述
This monograph, the second of the two volumes forming the third edition, is an enlarged, completely updated, and extensively revised version of the corresponding material from the authoritative second edition. It is completely self-contained.
This volume contains chapters on tensors, three-dimensional continuum mechanics, constitutive equations and their physically natural restrictions for three-dimensional elasticity and strain-rate viscoelasticity, steady-state and dynamical problems for these theories, general geometrically and mechanically exact theories of rods and shells, methods for treating dynamical problems of strain-rate viscoelasticity, and the role of material response for quasilinear hyperbolic systems of elasticity.
Each chapter contains a wealth of interesting, challenging, and tractable exercises.
From the reviews of the second edition:
"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 comprehensivetreatise 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)
商品描述(中文翻譯)
這本專著是第三版的兩卷之一,是權威第二版相應內容的擴充、全面更新和大幅修訂版本。它是完全獨立的。
本卷包含有關張量、三維連續介質力學、三維彈性和應變速率粘彈性的本質限制的構成方程,以及這些理論的穩態和動態問題,關於桿和殼的一般幾何和力學精確理論,處理應變速率粘彈性的動態問題的方法,以及對拋物線型彈性系統的材料響應的作用。
每個章節都包含豐富有趣、具有挑戰性且易於處理的練習題。
以下是第二版的評論摘錄:
「這本第二版考慮了自第一版出版以來的發展,並在許多方面與第一版不同。本書已重新組織並添加了幾個部分...已經令人印象深刻的參考文獻進一步擴展。評論者強烈推薦這本書給研究生和對彈性理論感興趣的學者。」(Massimo Lanza de Cristoforis,Mathematical Reviews,2006年e:74001期)
「這本評論專著的第二版是非線性彈性問題的基礎介紹。每個章節都配有有教育意義的練習題、未解決的問題和詳盡的歷史評論。這本書對應用數學家和工程師在彈性理論中使用的人以及處理微分方程和分歧理論應用的專家非常有用。」(Boris V. Loginov,Zentralblatt MATH,2006年第1098卷(24))
「Antman的令人印象深刻的工作是...非線性彈性的一部全面論述,也是應用非線性分析的典型範例。...本文已經修訂和更新,添加了幾個新的部分...這本書對於對非線性連續介質力學和應用分析感興趣的研究人員和研究生來說是必不可少的。這部作品學術性強且寫得很好...這本書面向希望看到嚴謹處理無妥協問題的科學家、工程師和數學家。」(Timothy J. Healey,SIAM Review,2007年第49卷(2))