Nonlinear Continuum Mechanics and Large Inelastic Deformations (Hardcover, 2011 ed.)

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.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Solid Mechanics and Its Applications, 174
Release date:	November 2010
First published:	2011
Authors:	Yuriy I. Dimitrienko
Dimensions:	235 x 155 x 39mm (L x W x T)
Format:	Hardcover
Pages:	721
Edition:	2011 ed.
ISBN-13:	978-9400700338
Categories:	Books > Science & Mathematics > Physics > Classical mechanics > General Books > Professional & Technical > Mechanical engineering & materials > Mechanical engineering > General Books > Computing & IT > Applications of computing > Artificial intelligence > General Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > General
LSN:	9400700334
Barcode:	9789400700338

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