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《Nonlinear Mechanics of Crystals》
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 Title: Nonlinear Mechanics of Crystals Volume: Author(s): John D. Clayton (auth.) Series: Solid Mechanics and Its Applications 177 Periodical: Publisher: Springer Netherlands City: Year: 2011 Edition: 1 Language: English Pages: 700 ISBN: 940070349X, 9789400703490 This book describes behavior of crystalline solids primarily via methods of modern continuum mechanics. Emphasis is given to geometrically nonlinear descriptions, i.e., finite deformations. Primary topics include anisotropic crystal elasticity, plasticity, and methods for representing effects of defects in the solid on the material's mechanical response. Defects include crystal dislocations, point defects, twins, voids or pores, and micro-cracks. Thermoelastic, dielectric, and piezoelectric behaviors are addressed. Traditional and higher-order gradient theories of mechanical behavior of crystalline solids are discussed. Differential-geometric representations of kinematics of finite deformations and lattice defect distributions are presented. Multi-scale modeling concepts are described in the context of elastic and plastic material behavior. Representative substances towards which modeling techniques may be applied are single- and poly- crystalline metals and alloys, ceramics, and minerals. This book is intended for use by scientists and engineers involved in advanced constitutive modeling of nonlinear mechanical behavior of solid crystalline materials. Knowledge of fundamentals of continuum mechanics and tensor calculus is a prerequisite for accessing much of the text. This book could be used as supplemental material for graduate courses on continuum mechanics, elasticity, plasticity, micromechanics, or dislocation mechanics, for students in various disciplines of engineering, materials science, applied mathematics, and condensed matter physics. Table of contents : Front Matter....Pages i-xiii Introduction....Pages 1-9 Mathematical Foundations....Pages 11-64 Kinematics of Crystalline Solids....Pages 65-166 Thermomechanics of Crystalline Solids....Pages 167-195 Thermoelasticity....Pages 197-272 Elastoplasticity....Pages 273-336 Residual Deformation from Lattice Defects....Pages 337-378 Mechanical Twinning in Crystal Plasticity....Pages 379-421 Generalized Inelasticity....Pages 423-480 Dielectrics and Piezoelectricity....Pages 481-542 Back Matter....Pages 543-700 |
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2015-07-19 10:19:32, 8.89 M
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