Nonlinear Continuum Mechanics and Large Inelastic Deformations



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Éditeur :

Springer


Collection :

Solid Mechanics and Its Applications

Paru le : 2010-12-25



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Description
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.
Pages
721 pages
Collection
Solid Mechanics and Its Applications
Parution
2010-12-25
Marque
Springer
EAN papier
9789400700338
EAN EPUB
9789400700345

Informations sur l'ebook
Nombre pages copiables
7
Nombre pages imprimables
72
Taille du fichier
9359 Ko
Prix
210,99 €