Boundary Value Problems of Finite Elasticity
Subtitle: Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data
By: by Tullio Valent
Series: Springer Tracts in Natural Philosophy -- 31; Springer tracts in natural philosophy -- 31.
Publisher: Springer New York
Published: 1988
Place of publication: New York, NY
Language: eng
Format: [electronic resource] :
Number of pages: 191
ISBN-13: 9781461283263; 9781461237365
Subjects: Mathematics; Engineering; Global analysis (Mathematics); Chemistry
Description: The object of this book is the systematic exposition of recent work of the author's on boundary value problems of finite elasticity. These results concern an n-dimensional generalization of the three-dimensional elasticity which, aside from leading to a great many interesting mathematical situations, often shed light on certain aspects of the three-dimensional case. The book begins with a brief introduction to some general concepts, in order to show how the boundary value problems studied in the text arise. This is followed by the development of some technical material needed in the rest of the book. Subsequent chapters are devoted to obtaining theorems of existence, uniqueness and analytic dependence on the load, near special deformations for boundary value problems of place, and traction in finite elastostatics.
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Table of contents: title: Contents: A Brief Introduction to Some General Concepts in Elasticity; title: Composition Operators in Sobolev and Schauder Spaces. Theorems on Continuity, Differentiability and Analyticity; title: Dirichlet and Neumann Boundary Problems in Linearized Elastostatics. Existence, Uniqueness and Regularity; title: Boundary Problems of Place in Finite Elastostatics; title: Boundary Problems of Traction in Finite Elastostatics. An Abstact Method. The Special Case of Dead Loads; title: Boundary Problems of Pressure Type in Finite Elastostatics; title: Appendices; title: Bibliography; title: Index of Notations; title: Index.