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  • Produktbild: Boundary Value Problems of Finite Elasticity
  • Produktbild: Boundary Value Problems of Finite Elasticity
Band 31

Boundary Value Problems of Finite Elasticity Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data

Aus der Reihe Springer Tracts in Natural Philosophy

Fr. 72.90

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

17.09.2011

Verlag

Springer Us

Seitenzahl

191

Maße (L/B/H)

23.5/15.5/1.2 cm

Gewicht

324 g

Auflage

Softcover reprint of the original 1st ed. 1988

Sprache

Englisch

ISBN

978-1-4612-8326-3

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

17.09.2011

Verlag

Springer Us

Seitenzahl

191

Maße (L/B/H)

23.5/15.5/1.2 cm

Gewicht

324 g

Auflage

Softcover reprint of the original 1st ed. 1988

Sprache

Englisch

ISBN

978-1-4612-8326-3

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Boundary Value Problems of Finite Elasticity
  • Produktbild: Boundary Value Problems of Finite Elasticity
  • I. A Brief Introduction to Some General Concepts in Elasticity.-
    1. Some Notations.-
    2. Deformations and Motions.-
    3. Mass. Force.-
    4. Euler’s Axiom. Cauchy’s Theorem.-
    5. Constitutive Assumptions. Elastic Body.-
    6. Frame-Indifference of the Material Response.- II. Composition Operators in Sobolev and Schauder Spaces. Theorems on Continuity, Differentiability, and Analyticity.-
    1. Some Facts About Sobolev and Schauder Spaces.-
    2. A Property of Multiplication in Sobolev Spaces.-
    3. On Continuity of Composition Operators in Sobolev and Schauder Spaces.-
    4. On Differentiability of Composition Operators in Sobolev and Schauder Spaces.-
    5. On Analyticity of Composition Operators in Sobolev and Schauder Spaces.-
    6. A Theorem on Failure of Differentiability for Composition Operators.- III. Dirichlet and Neumann Boundary Problems in Linearized Elastostatics. Existence, Uniqueness, and Regularity.-
    1. Korn’s Inequalities.-
    2. A Generalization of a Theorem of Lax and Milgram.-
    3. Linearized Elastostatics.-
    4. The Dirichlet Problem in Linearized Elastostatics. Existence and Uniqueness in W1,p(?, ?n).-
    5. The Neumann Problem in Linearized Elastostatics. Existence and Uniqueness in W1,p(?, ? n).-
    6. Some Basic Inequalities for Elliptic Operators.-
    7. Regularity Theorems for Dirichlet and Neumann Problems in Linearized Elastostatics.- IV. Boundary Problems of Place in Finite Elastostatics.-
    1. Formulation of the Problem.-
    2. Remarks on Admissibility of a Linearization.-
    3. A Topological Property of Sets of Admissible Deformations.-
    4. Local Theorems on Existence, Uniqueness, and Analytic Dependence on f for Problem ((1.1), (1.3)).-
    5. Stronger Results on Existence and Uniqueness for Problem ((1.1), (1.3)).-
    6. Local Theorems on Existence and Uniqueness for Problem ((1.1), (1.2)).- V. Boundary Problems of Traction in Finite Elastostatics. An Abstract Method. The Special Case of Dead Loads.-
    1. Generality on the Traction Problem in Finite Elastostatics.-
    2. Preliminary Discussion.-
    3. A Basic Lemma.-
    4. Critical Infinitesimal Rigid Displacements for a Load.-
    5. A Local Theorem on Existence, Uniqueness, and Analytic Dependence on a Parameter.-
    6. The Case of Dead Loads.-
    7. Some Historical Notes.- VI. Boundary Problems of Pressure Type in Finite Elastostatics.-
    1. Preliminaries.-
    2. The Case When the Load Is Invariant Under Translations.-
    3. The Case When the Load Is Invariant Under Rotations.-
    4. The Case of a Heavy Elastic Body Submerged in a Quiet Heavy Liquid.- Appendix I. On Analytic Mappings Between Banach Spaces. Analytic Implicit Function Theorem.- Appendix II. On the Representation of Orthogonal Matrices.- Index of Notations.