Nonlinear Problems of Elasticity: II: 3-Dimensional Bodies
暫譯: 彈性非線性問題:II:三維物體
Antman, Stuart S.
- 出版商: Springer
- 出版日期: 2023-09-10
- 售價: $5,810
- 貴賓價: 9.5 折 $5,520
- 語言: 英文
- 頁數: 376
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031313291
- ISBN-13: 9783031313295
海外代購書籍(需單獨結帳)
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中的第二卷,是對於權威的第二版相應材料的擴充、完全更新和廣泛修訂的版本。它是完全自足的。
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構方程及其物理上自然的限制、這些理論的穩態和動態問題、一般幾何和機械上精確的桿和殼的理論、處理應變速率粘彈性動態問題的方法,以及材料響應在準線性雙曲彈性系統中的角色的章節。
每一章都包含大量有趣、具挑戰性且可解的練習題。
來自第二版的評價:
「這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有所不同。這本書已重新組織,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。評審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,數學評論,2006年期刊第74001號)
「這本專著的第二版擴展版對非線性彈性問題進行了基本的介紹。每一章都配有指導性的練習題、未解決的問題和詳盡的歷史評論。這本書對於在其工作中使用彈性理論的應用數學家和工程師,以及處理微分方程和分岔理論應用的專家來說,將非常有用。」(Boris V. Loginov,Zentralblatt MATH,第1098卷(24),2006年)
「Antman的這部令人印象深刻的作品是...一部關於非線性彈性的綜合性論文,也是應用非線性分析的典範例子。... 這本書已被修訂和更新,添加了幾個新部分... 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讀之作。這部作品學術性強且寫得很好。... 這本書是針對希望看到對不妥協問題進行仔細處理的科學家、工程師和數學家的。」(Timothy J. Healey,SIAM評論,第49卷(2),2007年)