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Author : Haichang Hu
Release : 1984
Genre : Calculus of variations
Kind : eBook
Book Rating : 306/5 ( reviews)
Book Synopsis Variational Principles of Theory of Elasticity with Applications by : Haichang Hu
Download or read book Variational Principles of Theory of Elasticity with Applications written by Haichang Hu. This book was released on 1984. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Victor Berdichevsky
Release : 2009-09-18
Genre : Science
Kind : eBook
Book Rating : 696/5 ( reviews)
Book Synopsis Variational Principles of Continuum Mechanics by : Victor Berdichevsky
Download or read book Variational Principles of Continuum Mechanics written by Victor Berdichevsky. This book was released on 2009-09-18. Available in PDF, EPUB and Kindle. Book excerpt: The book reviews the two features of the variational approach: its use as a universal tool to describe physical phenomena and as a source for qualitative and quantitative methods of studying particular problems. Berdichevsky’s work differs from other books on the subject in focusing mostly on the physical origin of variational principles as well as establishing their interrelations. For example, the Gibbs principles appear as a consequence of the Einstein formula for thermodynamic fluctuations rather than as the first principles of the theory of thermodynamic equilibrium. Mathematical issues are considered as long as they shed light on the physical outcomes and/or provide a useful technique for the direct study of variational problems. In addition, a thorough account of variational principles discovered in various branches of continuum mechanics is given. This book, the second volume, describes how the variational approach can be applied to constructing models of continuum media, such as the theory of elastic plates; shells and beams; shallow water theory; heterogeneous mixtures; granular materials; and turbulence. It goes on to apply the variational approach to asymptotical analysis of problems with small parameters, such as the derivation of the theory of elastic plates, shells and beams from three-dimensional elasticity theory; and the basics of homogenization theory. A theory of stochastic variational problems is considered in detail too, along with applications to the homogenization of continua with random microstructures.
Author : Mark Levinson
Release : 1981
Genre : Elasticity
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Finite Elastic Strain Theory by : Mark Levinson
Download or read book Finite Elastic Strain Theory written by Mark Levinson. This book was released on 1981. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard B. Hetnarski
Release : 2010-10-18
Genre : Science
Kind : eBook
Book Rating : 881/5 ( reviews)
Book Synopsis The Mathematical Theory of Elasticity, Second Edition by : Richard B. Hetnarski
Download or read book The Mathematical Theory of Elasticity, Second Edition written by Richard B. Hetnarski. This book was released on 2010-10-18. Available in PDF, EPUB and Kindle. Book excerpt: Through its inclusion of specific applications, The Mathematical Theory of Elasticity, Second Edition continues to provide a bridge between the theory and applications of elasticity. It presents classical as well as more recent results, including those obtained by the authors and their colleagues. Revised and improved, this edition incorporates additional examples and the latest research results. New to the Second Edition Exposition of the application of Laplace transforms, the Dirac delta function, and the Heaviside function Presentation of the Cherkaev, Lurie, and Milton (CLM) stress invariance theorem that is widely used to determine the effective moduli of elastic composites The Cauchy relations in elasticity A body force analogy for the transient thermal stresses A three-part table of Laplace transforms An appendix that explores recent developments in thermoelasticity Although emphasis is placed on the problems of elastodynamics and thermoelastodynamics, the text also covers elastostatics and thermoelastostatics. It discusses the fundamentals of linear elasticity and applications, including kinematics, motion and equilibrium, constitutive relations, formulation of problems, and variational principles. It also explains how to solve various boundary value problems of one, two, and three dimensions. This professional reference includes access to a solutions manual for those wishing to adopt the book for instructional purposes.
Author : Kyūichirō Washizu
Release : 1982
Genre : Science
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Variational Methods in Elasticity and Plasticity by : Kyūichirō Washizu
Download or read book Variational Methods in Elasticity and Plasticity written by Kyūichirō Washizu. This book was released on 1982. Available in PDF, EPUB and Kindle. Book excerpt:
