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.
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