Integrodifferential relations in linear elasticity / by Georgy Viktorovich Kostin, Vasily V.Saurin.

Format:

Book

Author/Creator:

Kostin, G. V.

Contributor:

Saurin, V. V.

Series:

De Gruyter Studies in Mathematical Physics

De Gruyter studies in mathematical physics ; 10

Language:

English

Subjects (All):

Elasticity.

Plasticity.

Integro-differential equations.

Physical Description:

1 online resource (292 p.)

Edition:

1st ed.

Place of Publication:

Berlin ; Boston : De Gruyter, c2012.

Language Note:

English

Summary:

Deformations 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.

Contents:

Frontmatter

Preface

Contents

Chapter 1. Introduction

Chapter 2. Basic concepts of the linear theory of elasticity

Chapter 3. Conventional variational principles

Chapter 4. The method of integrodifferential relations

Chapter 5. Variational properties of the integrodifferential statements

Chapter 6. Advance finite element technique

Chapter 7. Semi-discretization and variational technique

Chapter 8. An asymptotic approach

Chapter 9. A projection approach

Chapter 10. 3D static beam modeling

Chapter 11. 3D beam vibrations

Appendix A. Vectors and tensors

Appendix B. Sobolev spaces

Bibliography

Index

Notes:

Description based upon print version of record.

ISBN:

9781283856812

1283856816

9783110271003

3110271001

OCLC:

826857718