Uniqueness Theorems in Linear Elasticity: Springer Tracts in Natural Philosophy, cartea 19
Autor Robin J. Knops, L. E. Payneen Limba Engleză Paperback – 18 noi 2011
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Specificații
ISBN-13: 9783642651038
ISBN-10: 3642651038
Pagini: 144
Ilustrații: X, 132 p.
Dimensiuni: 155 x 235 x 8 mm
Greutate: 0.21 kg
Ediția:Softcover reprint of the original 1st ed. 1971
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Springer Tracts in Natural Philosophy
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 3642651038
Pagini: 144
Ilustrații: X, 132 p.
Dimensiuni: 155 x 235 x 8 mm
Greutate: 0.21 kg
Ediția:Softcover reprint of the original 1st ed. 1971
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Springer Tracts in Natural Philosophy
Locul publicării:Berlin, Heidelberg, Germany
Public țintă
ResearchCuprins
1 Introduction.- 2 Basic Equations.- 2.1 Formulation of Initial-Boundary Value Problems.- 2.2 The Classical and Weak Solutions.- 2.3 The Homogeneous Isotropic Body. Plane Elasticity.- 2.4 Definiteness Properties of the Elasticities.- 3 Early Work.- 4 Modern Uniqueness Theorems in Three-Dimensional Elastostatics.- 4.1 The Displacement Boundary Value Problem for Bounded Regions.- 4.2 Exterior Domains.- 4.3 The Traction Boundary Value Problem.- 4.4 Mixed Boundary Value Problems.- 5 Uniqueness Theorems in Homogeneous Isotropic Two-Dimensional Elastostatics.- 5.1 Kirchhoff’s Theorem in Two-Dimensions. The Displacement and Traction Boundary Value Problems.- 5.2 Uniqueness in Plane Problems with Special Geometries.- Appendix: Uniqueness of Three-Dimensional Axisymmetric Solutions.- 6 Problems in the Whole- and Half-Space.- 6.1 Specification of the Various Boundary Value Problems. Continuity onto the Boundary and in the Neighbourhood of Infinity.- 6.2 Uniqueness of Problems (a)-(d). Corollaries for the Space EN.- 6.3 Uniqueness for the Mixed-Mixed Problem of Type (e).- 7 Miscellaneous Boundary Value Problems.- 7.1 Problems for a Sphere.- 7.2 The Cauchy Problem for Isotropic Elastostatics.- 7.3 The Signorini Problem. Other Problems with Ambiguous Conditions.- 8 Uniqueness Theorems in Elastodynamics. Relations with Existence, Stability, and Boundedness of Solutions.- 8.1 The Initial Displacement and Mixed-Boundary Value Problems. Energy Arguments.- 8.2 The Initial-Displacement Boundary Value Problem. Analyticity Arguments.- 8.3 The Initial-Mixed Boundary Value Problem for Bounded Regions. Further Arguments.- 8.4 Summary of Existing Results in the Uniqueness of Elastodynamic Solutions.- 8.5 Non-Standard Problems, including those with Ambiguous Conditions.- 8.6 Stability,Boundedness, Existence and Uniqueness.- References.