Overview
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.
Full Product Details
Author: Yuriy I. Dimitrienko
Publisher: Springer
Imprint: Springer
Edition: 2011 ed.
Volume: 174
Dimensions:
Width: 15.50cm
, Height: 3.90cm
, Length: 23.50cm
Weight: 2.680kg
ISBN: 9789400700338
ISBN 10: 9400700334
Pages: 721
Publication Date: 11 November 2010
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: In Print
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Reviews
From the reviews: The present book is a textbook for master and PhD students studying the mathematical continuum mechanics. Based on a strong mathematical framework, the author presents the basics of continuum mechanics and materials theory. ... For further studies 60 references are given. (Holm Altenbach, Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 92 (6), 2012)
From the reviews: The present book is a textbook for master and PhD students studying the mathematical continuum mechanics. Based on a strong mathematical framework, the author presents the basics of continuum mechanics and materials theory. For further studies 60 references are given. (Holm Altenbach, Zeitschrift f r Angewandte Mathematik und Mechanik, Vol. 92 (6), 2012)
