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Nonlinear Continuum Mechanics and Large Inelastic Deformations (Paperback, 2011 ed.)
Loot Price: R5,560
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Nonlinear Continuum Mechanics and Large Inelastic Deformations (Paperback, 2011 ed.)
Series: Solid Mechanics and Its Applications, 174
Expected to ship within 10 - 15 working days
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The book provides a rigorous axiomatic approach to continuum
mechanics under large deformation. In addition to the classical
nonlinear continuum mechanics - kinematics, fundamental laws, the
theory of functions having jump discontinuities across singular
surfaces, etc. - the book presents the theory of co-rotational
derivatives, dynamic deformation compatibility equations, and the
principles of material indifference and symmetry, all in
systematized form. The focus of the book is a new approach to the
formulation of the constitutive equations for elastic and inelastic
continua under large deformation. This new approach is based on
using energetic and quasi-energetic couples of stress and
deformation tensors. This approach leads to a unified treatment of
large, anisotropic elastic, viscoelastic, and plastic deformations.
The author analyses classical problems, including some involving
nonlinear wave propagation, using different models for continua
under large deformation, and shows how different models lead to
different results. The analysis is accompanied by experimental data
and detailed numerical results for rubber, the ground, alloys, etc.
The book will be an invaluable text for graduate students and
researchers in solid mechanics, mechanical engineering, applied
mathematics, physics and crystallography, as also for scientists
developing advanced materials.
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