Chapter 2 Mechanics of solids and structures

固体力学中的基本解方法（英文版）作者：王辉秦庆华　　 ISBN：978-7-04-055819-7　出版时间：2021-04-16

内封

版权

目录

前辅文

Part I Fundamentals of meshless methods

Chapter 1 Overview of meshless methods

Chapter 2 Mechanics of solids and structures

Chapter 3 Basics of fundamental solutions and radial basis functions

Part II Applications of the meshless method

Chapter 4 Meshless analysis for thin beam bending problems

Chapter 5 Meshless analysis for thin plate bending problems

Chapter 6 Meshless analysis for two-dimens elastic problems

Chapter 7 Meshless analysis for plane piezoelectric problems

Chapter 8 Meshless analysis of heat transfer in heterogeneous media

Appendix A Derivatives of functions in terms of radial variable r

Appendix B Transformations

Appendix C Derivatives of approximated particular solutions in inhomogeneous plane elasticity

Index
- 2.1. Introduction
- 2.2. Basic physical quantities
- 2.2.1 Displacement components
- 2.2.2 Stress components
- 2.2.3 Strain components
- 2.3. Equations for three-dimensional solids
- 2.3.1 Strain-displacement relation
- 2.3.2 Equilibrium equations
- 2.3.3 Constitutive equations
- 2.3.4 Boundary conditions
- 2.4. Equations for plane solids
- 2.4.1 Plane stress and plane strain
- 2.4.2 Governing equations
- 2.4.3 Boundary conditions
- 2.5. Equations for Euler-Bernoulli beams
- 2.5.1 Deformation mode
- 2.5.2 Governing equations
- 2.5.3 Boundary conditions
- 2.5.4 Continuity requirements
- 2.6. Equations for thin plates
- 2.6.1 Deformation mode
- 2.6.2 Governing equations
- 2.6.3 Boundary conditions
- 2.7. Equations for piezoelectricity
- 2.7.1 Governing equations
- 2.7.2 Boundary conditions
- 2.8. Remarks
- References

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