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OverviewDeformations of elastic bodies are encountered in many areas in science, engineering and technology. In the last decades, various numerical approaches using the finite element technique have been developed, but many are not adequate to address the full complexity. This work treats the elasticity of deformed bodies, including the resulting interior stresses and displacements. Other than comparable books, this work also takes into account that some of constitutive relations can be considered in a weak form. To discuss this problem properly, the method of integrodifferential relations is used, and an advanced numerical technique for stress-strain analysis is presented and evaluated using various discretization techniques. The methods presented in this book are of importance for almost all elasticity problems in materials science and mechanical engineering. Full Product DetailsAuthor: Georgy V. Kostin , Vasily V. Saurin , G V KostinPublisher: De Gruyter Imprint: De Gruyter Volume: 10 Weight: 0.627kg ISBN: 9783110270303ISBN 10: 3110270307 Pages: 291 Publication Date: 15 October 2012 Recommended Age: College Graduate Student Audience: Professional and scholarly , Professional & Vocational , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Available To Order We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of Contents1. Introduction 2. Basic concepts of the linear theory of elasticity 3. Conventional varational principles 4. The method of integrodifferential relations 5. Variational properties of the integrodifferential statements 6. Advance finite element technique 7. Semi-discretization and variational technique 8. An asymptotic approach 9. A projection approach 10. 3D static beam modeling 11. 3D beam vibrations 12. Projection FEM approach for thin walled structures 13. AppendixReviewsThe aim of this very important book is the study of problems in solid mechanics whose variational forms are equalities, expressing the principle of virtual power in its equality form. This book is unique in that it presents a profound mathematical analysis of general elasticity of deformed bodies, including the resulting interior stresses and displacements. Mathematical Reviews This well-written and good-organized monograph can be recommended to highly-qualified experts in the field. Zentralblatt fur Mathematik The aim of this very important book is the study of problems in solid mechanics whose variational forms are equalities, expressing the principle of virtual power in its equality form. This book is unique in that it presents a profound mathematical analysis of general elasticity of deformed bodies, including the resulting interior stresses and displacements. Mathematical Reviews This well-written and good-organized monograph can be recommended to highly-qualified experts in the field. Zentralblatt fur Mathematik """The aim of this very important book is the study of problems in solid mechanics whose variational forms are equalities, expressing the principle of virtual power in its equality form. This book is unique in that it presents a profound mathematical analysis of general elasticity of deformed bodies, including the resulting interior stresses and displacements."" Mathematical Reviews ""This well-written and good-organized monograph can be recommended to highly-qualified experts in the field."" Zentralblatt für Mathematik" The aim of this very important book is the study of problems in solid mechanics whose variational forms are equalities, expressing the principle of virtual power in its equality form. This book is unique in that it presents a profound mathematical analysis of general elasticity of deformed bodies, including the resulting interior stresses and displacements. Mathematical Reviews This well-written and good-organized monograph can be recommended to highly-qualified experts in the field. Zentralblatt f r Mathematik Author InformationGeorgy V. Kostin and Vasily V. Saurin, Ishlinsky Institute for Problems in Mechanics, Russia. Tab Content 6Author Website:Countries AvailableAll regions |
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