¹ÌÌåÁ¦Ñ§ÖеĻù±¾½â·½·¨:Ó¢ÎÄ°æ

About the authors
Preface
Acknowledgments
List of abbreviations
Part ¢ñ
Fundamentals of meshless methods
1£®Overview of meshless methods
1£®1 Why we need meshless methods
1£®2 Review of meshless methods
1£®3 Basic ideas of the method of fundamental solutions
1£®3£®1 Weighted residual method
1£®3£®2 Method of fundamental solutions
1£®4 Application to the two-dimensional Laplace problem
1£®4£®1 Problem description
1£®4£®2 MFS formulation
1£®4£®3 Program structure and source code
1£®4£®4 Numericalexperiments
1£®5 Some limitations for implementing the method of fundamental solutions
1£®5£®1 Dependence of fundamental solutions
1£®5£®2 Location of source points
1£®5£®3 Ill-conditioningtreatments
1£®5£®4 Inhomogeneousproblems
1£®5£®5 Multiple domain problems
1£®6 Extended method of fundamental solutions
1£®7 Outline of the book
References
2£®Mechanics of solids and structures
2£®1 Introduction
2£®2 Basic physical quantities
2£®2£®1 Displacementcomponents
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 Equilibriumequations
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 Governingequations
2£®4£®3 Boundary conditions
2£®5 Equations for Euler-Bernoulli beams
2£®5£®1 Deformation mode
2£®5£®2 Governingequations
2£®5£®3 Boundary conditions
2£®5£®4 Continuity requirements
2£®6 Equations for thin plates
2£®6£®1 Deformation mode
2£®6£®2 Governingequations
2£®6£®3 Boundary conditions
2£®7 Equations for piezoelectricity
2£®7£®1 Governingequations
2£®7£®2 Boundary conditions
2£®8 Remarks
References
3£®Basics of fundamental solutions and radial basis functions
3£®1 Introduction
3£®2 Basic concept of fundamental solutions
3£®2£®1 Partial differential operators
3£®2£®2 Fundamental solutions
3£®3 Radial basis function interpolation
3£®3£®1 Radial basis functions
3£®3£®2 Radial basis function interpolation
3£®4 Remarks
References

Part ¢ò
Applications of the meshless method
4£®Meshless analysis for thin beam bending problems
4£®1 Introduction
4£®2 Solutionprocedures
4£®2£®1 Homogeneous solution
4£®2£®2 Particular solution
4£®2£®3 Approximated full solution
4£®2£®4 Construction of solving equations
4£®2£®5 Treatment of discontinuous loading
¡­¡­
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