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|a 1002697607
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|a 1066447776
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|a 0192528076
|q (electronic bk.)
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|z 0198567782
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|a (OCoLC)1002189281
|z (OCoLC)1002697607
|z (OCoLC)1021174121
|z (OCoLC)1066447776
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|a QA931
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|2 bisacsh
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|a HCDD
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1 |
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|a Steigmann, David J.,
|e author.
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|a Finite elasticity theory /
|c David J. Steigmann.
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|a First edition.
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| 264 |
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1 |
|a Oxford :
|b Oxford University Press,
|c 2017.
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4 |
|c ©2017
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| 300 |
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|a 1 online resource
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 504 |
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|a Includes bibliographical references and index.
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| 520 |
8 |
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|a 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.
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|a Online resource; title from HTML homepage (Oxford, viewed April 20, 2018).
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|a 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.
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|a 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.
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|a 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.
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|a 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.
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| 505 |
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|a 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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| 650 |
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|a Elasticity.
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| 650 |
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|a Mechanical engineering
|x Mathematical models.
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| 650 |
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|a SCIENCE
|x Mechanics
|x General.
|2 bisacsh
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| 650 |
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7 |
|a SCIENCE
|x Mechanics
|x Solids.
|2 bisacsh
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| 650 |
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7 |
|a Elasticity
|2 fast
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| 650 |
|
7 |
|a Mechanical engineering
|x Mathematical models
|2 fast
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| 758 |
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|i has work:
|a Finite elasticity theory (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCFF9VqFfdbmmKJFxgTVxcK
|4 https://id.oclc.org/worldcat/ontology/hasWork
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| 776 |
0 |
8 |
|i Print version:
|a Steigmann, David J.
|t Finite elasticity theory.
|b first edition.
|d Oxford, United Kingdom : Oxford University Press, 2017
|z 0198567782
|z 9780198567783
|w (DLC) 2017932403
|w (OCoLC)982092883
|
| 856 |
4 |
0 |
|u https://holycross.idm.oclc.org/login?auth=cas&url=https://academic.oup.com/book/27097
|y Click for online access
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|a OUP-SOEBA
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| 994 |
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|a 92
|b HCD
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