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Continuum Mechanics Modeling of Material Behavior offers a uniquely
comprehensive introduction to topics like RVE theory, fabric tensor
models, micropolar elasticity, elasticity with voids, nonlocal
higher gradient elasticity and damage mechanics. Contemporary
continuum mechanics research has been moving into areas of complex
material microstructural behavior. Graduate students who are
expected to do this type of research need a fundamental background
beyond classical continuum theories. The book begins with several
chapters that carefully and rigorously present mathematical
preliminaries: kinematics of motion and deformation; force and
stress measures; and general principles of mass, momentum and
energy balance. The book then moves beyond other books by
dedicating several chapters to constitutive equation development,
exploring a wide collection of constitutive relations and
developing the corresponding material model formulations. Such
material behavior models include classical linear theories of
elasticity, fluid mechanics, viscoelasticity and plasticity. Linear
multiple field problems of thermoelasticity, poroelasticity and
electoelasticity are also presented. Discussion of nonlinear
theories of solids and fluids, including finite elasticity,
nonlinear/non-Newtonian viscous fluids, and nonlinear viscoelastic
materials are also given. Finally, several relatively new continuum
theories based on incorporation of material microstructure are
presented including: fabric tensor theories, micropolar elasticity,
elasticity with voids, nonlocal higher gradient elasticity and
damage mechanics.
Elasticity: Theory, Applications, and Numerics, Fourth Edition,
continues its market-leading tradition of concisely presenting and
developing the linear theory of elasticity, moving from solution
methodologies, formulations, and strategies into applications of
contemporary interest, such as fracture mechanics, anisotropic and
composite materials, micromechanics, nonhomogeneous graded
materials, and computational methods. Developed for a one- or
two-semester graduate elasticity course, this new edition has been
revised with new worked examples and exercises, and new or expanded
coverage of areas such as treatment of large deformations, fracture
mechanics, strain gradient and surface elasticity theory, and
tensor analysis. Using MATLAB software, numerical activities in the
text are integrated with analytical problem solutions. Online
ancillary support materials for instructors include a solutions
manual, image bank, and a set of PowerPoint lecture slides.
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