عنوان
پدید آورنده
موضوع
رده
QA931
QA931
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0191746533
(Number (ISBN
0192528076
(Number (ISBN
9780191746536
(Number (ISBN
9780192528070
Erroneous ISBN
0198567782
Erroneous ISBN
9780198567783
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Finite elasticity theory /
General Material Designation
[Book]
First Statement of Responsibility
David J. Steigmann.
EDITION STATEMENT
Edition Statement
First edition.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Oxford :
Name of Publisher, Distributor, etc.
Oxford University Press,
Date of Publication, Distribution, etc.
2017.
Date of Publication, Distribution, etc.
©2017
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Cover; Preface; Contents; 1 Concept of an elastic material; 2 Observers and invariance; 3 Mechanical power and hyperelasticity; 3.1 Elasticity and energy; 3.2 Work inequality; 4 Material symmetry; 4.1 Stress response; 4.2 Strain energy; 4.3 Isotropy; 5 Fiber symmetry; 6 Stress response in the presence of local constraints on the deformation; 6.1 Local constraints; 6.2 Constraint manifolds and the Lagrange multiplier rule; 6.3 Material symmetry in the presence of constraints; 7 Some boundary-value problems for uniform isotropic incompressible materials.
Text of Note
11.7 Equilibria with discontinuous deformation gradients11.8 The Maxwell-Eshelby relation; 11.8.1 Example: alternating simple shear; 12 Linearized theory, the second variation and bifurcation of equilibria; 13 Elements of plasticity theory; 13.1 Elastic and plastic deformations; 13.2 Constitutive response; 13.3 Energy and dissipation; 13.4 Invariance; 13.5 Yielding, the work inequality and plastic flow; 13.6 Isotropy; 13.7 Rigid-plastic materials; 13.8 Plane strain of rigid-perfectly plastic materials: slip-line theory; 13.8.1 State of stress, equilibrium; 13.8.2 Velocity field.
Text of Note
7.1 Problems exhibiting radial symmetry with respect to a fixed axis7.1.1 Pressurized cylinder; 7.1.2 Azimuthal shear; 7.1.3 Torsion of a solid circular cylinder; 7.1.4 Combined extension and torsion; 7.2 Problems exhibiting radial symmetry with respect to a fixed point; 7.2.1 Integration of the equation; 7.2.2 Pressurized shells, cavitation; 8 Some examples involving uniform, compressible isotropic materials; 8.1 Spherical symmetry, revisited; 8.2 Plane strain; 8.3 Radial expansion/compaction; 9 Material stability, strong ellipticity and smoothness of equilibria.
Text of Note
9.1 Small motions superposed on finitely deformed equilibrium states9.2 Smoothness of equilibria; 9.3 Incompressibility; 10 Membrane theory; 10.1 General theory; 10.2 Pressurized membranes; 10.3 Uniqueness of the director; 10.4 Isotropic materials; 10.5 Axially symmetric deformations of a cylindrical membrane; 10.6 Bulging of a cylinder; 11 Stability and the energy criterion; 11.1 The energy norm; 11.2 Instability; 11.3 Quasiconvexity; 11.4 Ordinary convexity; 11.4.1 Objections to ordinary convexity; 11.5 Polyconvexity; 11.6 Rank-one convexity.
Text of Note
Supplemental notes1 The cofactor; 2 Gradients of scalar-valued functions of tensors; 3 Chain rule; 4 Gradients of the principal invariants of a symmetric tensor; 5 Relations among gradients; 6 Extensions; 7 Korn's inequality; 8 Poincaré's inequality; Index.
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SUMMARY OR ABSTRACT
Text of Note
This text is suitable for a first-year graduate course on non-linear elasticity theory. It is aimed at graduate students, post-doctoral fellows and researchers working in mechanics.
OTHER EDITION IN ANOTHER MEDIUM
Title
Finite elasticity theory.
International Standard Book Number
9780198567783
TOPICAL NAME USED AS SUBJECT
Elasticity.
Mechanical engineering-- Mathematical models.
Elasticity.
Mechanical engineering-- Mathematical models.
SCIENCE-- Mechanics-- General.
SCIENCE-- Mechanics-- Solids.
(SUBJECT CATEGORY (Provisional
SCI-- 041000
SCI-- 096000
DEWEY DECIMAL CLASSIFICATION
Number
531
.
382
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA931
PERSONAL NAME - PRIMARY RESPONSIBILITY
Steigmann, David J.
ORIGINATING SOURCE
Date of Transaction
20200822092159.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
