This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two comp
Mathematical Elasticity Volume I: Three-Dimensional Elasticity
✍ Scribed by Philippe G. Ciarlet (Eds.)
- Publisher
- Academic Press, Elsevier
- Year
- 1988
- Leaves
- 476
- Series
- Studies in Mathematics and Its Applications 20
- Category
- Library
No coin nor oath required. For personal study only.
✦ Table of Contents
Content:
Editors
Page ii
Edited by
Page iii
Copyright page
Page iv
Dedication
Page v
Mathematical Elasticity: General Plan
Page vii
Preface
Pages ix-xv
Philippe G. Ciarlet
Main Notation, Definitions, and Formulas
Pages xxi-xl
De La Pression Ou Tension: Dans Un Corps Solide.
Page xli
Chapter 1 Geometrical and Other Preliminaries
Pages 3-56
Chapter 2 The Equations of Equilibrium and the Principle of Virtual Work
Pages 57-87
Chapter 3 Elastic Materials and their Constitutive Equations
Pages 89-136
Chapter 4 Hyperelasticity
Pages 137-198
Chapter 5 The Boundary Value Problems of Three-Dimensional Elasticity
Pages 199-265
Chapter 6 Existence Theory Based on the Implicit Function Theorem
Pages 269-344
Chapter 7 Existence Theory Based on the Minimization of the Energy
Pages 345-407
Bibliography
Pages 409-433
Index
Pages 435-451
📜 SIMILAR VOLUMES
<p>本书为土木工程专业研究生系列教材之一,为英文版书。弹性力学和塑性力学是固体力学中的两个重要基础理论,本书第一篇讲述弹性力学理论,第二篇讲述塑性力学理论。矢量和张量分析是弹性力学和塑性力学的重要教学工具,矢量和张量的指标记法及运算方法首先在第一章中阐述。第二至四章讲述弹性的基本概念和理论,第五至七章讲述塑性的基本概念和理论,第八章是关于金属的塑性理论,第九章简要的介绍求解弹性和弹塑性问题的有限元方法。</p>
<P><STRONG>Applied Elasticity and Plasticity</STRONG> is a comprehensive work that introduces graduate students and professionals in civil, mechanical, aeronautical and metallurgical engineering to the basic theories of elasticity, plasticity and their practical applications. Based on experimental d
<p>Most books on continuum mechanics focus on elasticity and fluid mechanics. But whether student or practicing professional, modern engineers need a more thorough treatment to understand the behavior of the complex materials and systems in use today. Continuum Mechanics: Elasticity, Plasticity, Vis