Mechanics of Solids and Materials

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Cambridge University Press, Jan 16, 2006 - Science - 860 pages
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This book blends both innovative (large strain, strain rate, temperature, time dependent deformation and localized plastic deformation in crystalline solids, deformation of biological networks) and traditional (elastic theory of torsion, elastic beam and plate theories, contact mechanics) topics in a coherent theoretical framework. Extensive use of transform methods to generate solutions will make this book of interest to structural, mechanical, and aerospace engineers. Plasticity theories, micromechanics, crystal plasticity, and energetics of elastic systems are also covered, as well as an overall review of math and thermodynamics.
 

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Contents

Integrals
33
CONTINUUM MECHANICS
55
Kinetics of Continuum
92
Thermodynamics of Continuum
113
Potentials
139
Nonlinear Elasticity
148
LINEAR ELASTICITY
161
Elastic Beam Problems
184
The Inclusion Problem
335
Forces and Energy in Elastic Systems
355
Micropolar Elasticity
375
THIN FILMS AND INTERFACES
407
Strain Relaxation in Thin Films
428
Stability of Planar Interfaces
447
PLASTICITY AND VISCOPLASTICITY
461
Micromechanics of Crystallographic Slip
502

Solutions in Polar Coordinates
199
Torsion and Bending of Prismatic Rods
214
SemiInfinite Media
229
Isotropic 3D Solutions
246
Anisotropic 3D Solutions
264
Plane Contact Problems
271
Deformation of Plates
280
MICROMECHANICS
293
Dislocations in Anisotropic Media
299
Cracks in Anisotropic Media
315
Crystal Plasticity
538
Localized Plastic
557
Polycrystal Plasticity
586
Laminate Plasticity
601
BIOMECHANICS
609
Constitutive Relations for Membranes
633
SOLVED PROBLEMS
641
Bibliography
833
Index
853
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