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Titlebook: Boundary Value Problems of Finite Elasticity; Local Theorems on Ex Tullio Valent Book 1988 Springer-Verlag New York Inc. 1988 Implicit func

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發(fā)表于 2025-3-21 19:03:22 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Boundary Value Problems of Finite Elasticity
期刊簡(jiǎn)稱Local Theorems on Ex
影響因子2023Tullio Valent
視頻videohttp://file.papertrans.cn/191/190044/190044.mp4
學(xué)科分類Springer Tracts in Natural Philosophy
圖書封面Titlebook: Boundary Value Problems of Finite Elasticity; Local Theorems on Ex Tullio Valent Book 1988 Springer-Verlag New York Inc. 1988 Implicit func
影響因子In this book I present, in a systematic form, some local theorems on existence, uniqueness, and analytic dependence on the load, which I have recently obtained for some types of boundary value problems of finite elasticity. Actually, these results concern an n-dimensional (n ~ 1) formal generalization of three-dimensional elasticity. Such a generalization, be- sides being quite spontaneous, allows us to consider a great many inter- esting mathematical situations, and sometimes allows us to clarify certain aspects of the three-dimensional case. Part of the matter presented is unpublished; other arguments have been only partially published and in lesser generality. Note that I concentrate on simultaneous local existence and uniqueness; thus, I do not deal with the more general theory of exis- tence. Moreover, I restrict my discussion to compressible elastic bodies and I do not treat unilateral problems. The clever use of the inverse function theorem in finite elasticity made by STOPPELLI [1954, 1957a, 1957b], in order to obtain local existence and uniqueness for the traction problem in hyperelasticity under dead loads, inspired many of the ideas which led to this monograph. Chapter I
Pindex Book 1988
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沙發(fā)
發(fā)表于 2025-3-21 21:36:12 | 只看該作者
A Brief Introduction to Some General Concepts in Elasticity,hat we will say has a physical meaning if . = 3. Nevertheless, since the definitions, axioms, and problems considered in this book generalize spontaneously to an .-dimensionai setting (. ≧ 1), we prefer to present the theory directly in the .-dimensional form while still using the terminology relative to the three-dimensional case.
板凳
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地板
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5#
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發(fā)表于 2025-3-22 13:27:35 | 只看該作者
Book 1988 obtained for some types of boundary value problems of finite elasticity. Actually, these results concern an n-dimensional (n ~ 1) formal generalization of three-dimensional elasticity. Such a generalization, be- sides being quite spontaneous, allows us to consider a great many inter- esting mathema
7#
發(fā)表于 2025-3-22 18:51:08 | 只看該作者
Book 1988eral problems. The clever use of the inverse function theorem in finite elasticity made by STOPPELLI [1954, 1957a, 1957b], in order to obtain local existence and uniqueness for the traction problem in hyperelasticity under dead loads, inspired many of the ideas which led to this monograph. Chapter I
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發(fā)表于 2025-3-22 22:20:16 | 只看該作者
0081-3877 n local existence and uniqueness for the traction problem in hyperelasticity under dead loads, inspired many of the ideas which led to this monograph. Chapter I978-1-4612-8326-3978-1-4612-3736-5Series ISSN 0081-3877
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發(fā)表于 2025-3-23 04:48:56 | 只看該作者
A Brief Introduction to Some General Concepts in Elasticity,y to the mathematical problems studied in the remainder of the book. For a deep and exhaustive treatment of the matter we refer, e.g., to TRUESDELL & TOUPIN [1960], TRUESDELL & NOLL [1965], WANG & TRUESDELL [1973], TRUESDELL [1974, 1977], GURTIN [1981], MARSDEN & HUGHES [1983], and CIARLET [1986]. W
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發(fā)表于 2025-3-23 07:01:10 | 只看該作者
Composition Operators in Sobolev and Schauder Spaces. Theorems on Continuity, Differentiability, anperators (i.e., operators of the type . where . is an ?.-valued function defined on Ω, and .(.) is the real-valued function defined on Ω by setting . with . a given function). Various theorems are established in Sobolev spaces and in Schauder spaces.
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