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Mathematical Foundations Of Elasticity By Jerrold E. Marsden & Thomas JR Hughes
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N.º de artículo de eBay:176656742278
Última actualización el 12 ago 2025 19:38:03 H.EspVer todas las actualizacionesVer todas las actualizaciones
Características del artículo
- Estado
- En buen estado
- Notas del vendedor
- Book Title
- Mathematical Foundations Of Elasticity
- Topic
- Mathematics
- Country/Region of Manufacture
- United States
- Edition Description
- Dover Books On Mathematics
- Pages
- 556
- Item Condition
- Good
- Publisher's Location
- New York
- ISBN
- 9780486678658
Acerca de este producto
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486678652
ISBN-13
9780486678658
eBay Product ID (ePID)
546300
Product Key Features
Number of Pages
576 Pages
Publication Name
Mathematical Foundations of Elasticity
Language
English
Publication Year
1994
Subject
Mechanics / Statics, Civil / General
Features
Reprint
Type
Textbook
Subject Area
Technology & Engineering, Science
Series
Dover Civil and Mechanical Engineering Ser.
Format
Trade Paperback
Dimensions
Item Weight
28.9 Oz
Item Length
9.2 in
Item Width
6.1 in
Additional Product Features
Intended Audience
College Audience
LCCN
93-042631
Dewey Edition
20
Illustrated
Yes
Dewey Decimal
531/.382/0151
Table Of Content
Preface Brief glossary of conventions and notations A point of departure 1. Kinematics 2. Balance laws 3. Elastic materials 4. Boundary value problems 5. Constitutive inequalities 6. The role of geometry and functional analysis 1. Geometry and kinematics of bodies 1.1 Motions of simple bodies 1.2 Vector fields, one-forms, and pull-backs 1.3 The deformation gradient 1.4 Tensors, two-point tensors, and the covariant derivative 1.5 Conservation of mass 1.6 Flows and lie derivatives 1.7 Differential forms and the Piola transformation 2. Balance principles 2.1 The master balance law 2.2 The stress tensor and balance of momentum 2.3 Balance of energy 2.4 Classical spacetimes, covariant balance of energy, and the principle of virtual work 2.5 Thermodynamics II; the second law 3. Constitutive theory 3.1 The constitutive hypothesis 3.2 Consequences of thermodynamics, locality, and material frame indifference 3.3 Covariant constitutive theory 3.4 The elasticity tensor and thermoelastic solids 3.5 Material symmetries and isotropic elasticity 4. Linearization 4.1 The implicit function theorem 4.2 Linearization of nonlinear elasticity 4.3 Linear elasticity 4.4 Linearization stability 5. Hamiltonian and variational principles 5.1 The formal variational structure of elasticity 5.2 Linear Hamiltonian systems and classical elasticity 5.3 Abstract Hamiltonian and Lagrangian systems 5.4 Lagrangian field theory and nonlinear elasticity 5.5 Conservation laws 5.6 Reciprocity 5.7 Relativistic elasticity 6. Methods of functional analysis in elasticity 6.1 Elliptic operators and linear elastostatics 6.2 Abstract semigroup theory 6.3 Linear elastodynamics 6.4 Nonlinear elastostatics 6.5 Nonlinear elastodynamics 6.6 The energy criterion 6.7 A control problem for a beam equation 7. Selected topics in bifurcation theory 7.1 Basic ideas of static bifurcation theory 7.2 A survey of some applications to elastostatics 7.3 The traction problem near a natural state (Signorini's problem) 7.4 Basic ideas of dynamic bifurcation theory 7.5 A survey of some applications to elastodynamics 7.6 Bifurcations in the forced oscillations of a beam Bibliography, Index
Edition Description
Reprint
Synopsis
This advanced-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It is directed to mathematicians, engineers and physicists who wish to see this classical subject in a modern setting with examples of newer mathematical contributions. Prerequisites include a solid background in advanced calculus and the basics of geometry and functional analysis. The first two chapters cover the background geometry developed as needed and use this discussion to obtain the basic results on kinematics and dynamics of continuous media. Subsequent chapters deal with elastic materials, linearization, variational principles, the use of functional analysis in elasticity, and bifurcation theory. Carefully selected problems are interspersed throughout, while a large bibliography rounds out the text., This advanced-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It is directed to mathematicians, engineers and physicists who wish to see this classical subject in a modern setting with examples of newer mathematical contributions. Prerequisites include a solid background in advanced calculus and the basics of geometry and functional analysis. The first two chapters cover the background geometry ― developed as needed ― and use this discussion to obtain the basic results on kinematics and dynamics of continuous media. Subsequent chapters deal with elastic materials, linearization, variational principles, the use of functional analysis in elasticity, and bifurcation theory. Carefully selected problems are interspersed throughout, while a large bibliography rounds out the text., Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It presents a classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition.
LC Classification Number
QA931.M42 1994
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- o***t (175)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaThe packaging was outstanding! Plenty of bubble wrap with the books wrapped in twos with saran wrap. The books shipped quickly. All six volumes are in mint condition - as they were described! Outstanding value! A++++ seller!
- o***r (148)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaBook is exactly as described in ad. Packed very well. Good value for an antique. Hopefully overseas postage prices come down so we can buy more from the US (postage is always more than the purchase price). I only wish I knew the age of this book. Many thanks for an awesome keepsake.
- t***s (119)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaAwesome seller! Packaged well, shipped quickly, item is exactly as described and in excellent condition. Very good price! Highly recommend this seller!
History In Writing's Collection
100% de votos positivos•25 mil artículos vendidos
Registrado como vendedor particularPor tanto, no se aplican los derechos de los consumidores derivados de las leyes de protección de los consumidores de la UE. La Garantía al cliente de eBay sigue aplicando a la mayoría de compras. Más informaciónMás información
Votos de vendedor (12.243)
- o***t (175)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaThe packaging was outstanding! Plenty of bubble wrap with the books wrapped in twos with saran wrap. The books shipped quickly. All six volumes are in mint condition - as they were described! Outstanding value! A++++ seller!
- o***r (148)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaBook is exactly as described in ad. Packed very well. Good value for an antique. Hopefully overseas postage prices come down so we can buy more from the US (postage is always more than the purchase price). I only wish I knew the age of this book. Many thanks for an awesome keepsake.
- t***s (119)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaAwesome seller! Packaged well, shipped quickly, item is exactly as described and in excellent condition. Very good price! Highly recommend this seller!