Nonlinear Continuum Mechanics and Large Inelastic Deformations

Nonfiction, Science & Nature, Science, Physics, Mechanics, Technology, Engineering, Mechanical
Cover of the book Nonlinear Continuum Mechanics and Large Inelastic Deformations by Yuriy I. Dimitrienko, Springer Netherlands
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Yuriy I. Dimitrienko ISBN: 9789400700345
Publisher: Springer Netherlands Publication: December 25, 2010
Imprint: Springer Language: English
Author: Yuriy I. Dimitrienko
ISBN: 9789400700345
Publisher: Springer Netherlands
Publication: December 25, 2010
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Netherlands

Cover of the book Complexity in Chemistry and Beyond: Interplay Theory and Experiment by Yuriy I. Dimitrienko
Cover of the book Protecting Danube River Basin Resources by Yuriy I. Dimitrienko
Cover of the book Fundamental Research in Ultra High Dilution and Homoeopathy by Yuriy I. Dimitrienko
Cover of the book Adsorption of Reactive Red 158 Dye by Chemically Treated Cocos Nucifera L. Shell Powder by Yuriy I. Dimitrienko
Cover of the book Fertility and Sterility by Yuriy I. Dimitrienko
Cover of the book Conceptual Profiles by Yuriy I. Dimitrienko
Cover of the book Lowering the Cost of Emission Reduction: Joint Implementation in the Framework Convention on Climate Change by Yuriy I. Dimitrienko
Cover of the book Renal Failure by Yuriy I. Dimitrienko
Cover of the book The Biochemistry of the Carotenoids by Yuriy I. Dimitrienko
Cover of the book Life in the Glory of Its Radiating Manifestations by Yuriy I. Dimitrienko
Cover of the book Preventive Dentistry by Yuriy I. Dimitrienko
Cover of the book Understanding Morphological Rules by Yuriy I. Dimitrienko
Cover of the book Beta-Blockers in Hypertension and Angina Pectoris by Yuriy I. Dimitrienko
Cover of the book Scattered and Filtered Solar UV Measurements by Yuriy I. Dimitrienko
Cover of the book Knowledge Sharing in Practice by Yuriy I. Dimitrienko
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy