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固體力學中的基本解方法:英文版 版權信息
- ISBN：9787040558197
- 條形碼：9787040558197 ; 978-7-04-055819-7
- 裝幀：一般膠版紙
- 冊數：暫無
- 重量：暫無
- 所屬分類：>
固體力學中的基本解方法:英文版 內容簡介
《固體力學中的基本解方法（英文版）》是一部詳盡討論關于基本解方法的原理和應用研究的學術專著，提供了齊次和非齊次、標量場和矢量場等工程問題的基本解方法求解過程。 《固體力學中的基本解方法（英文版）》從連續介質力學的基本原理和無網格方法的基本概念出發，結合作者多年從事該研究領域的實踐經驗，系統地討論了基本解方法的理論基礎、算法構造、程序編制、實例求解，然后結合算法的優缺點給出了融合徑向基函數插值的改進的混合型基本解方法，進而分別求解了梁彎曲問題、薄板彎曲問題、平面彈性問題、平面壓電問題和熱傳導問題。作者在敘述每一種問題的控制方程和邊界條件后，通過計算區域內部和邊界配點，闡述基本解方法的計算原理和算法構造，然后通過一些簡單直觀的工程算例清楚地說明求解過程和計算結果，盡可能地同解析結果或其他計算結果進行比較，以便讀者能更直觀地理解算法特點及其求解精度和工程應用價值。讀者在學習和理解了該書介紹的計算方法后，期望會獨立地運用基本解方法進行有關問題的計算建模和數值求解。
固體力學中的基本解方法:英文版 目錄
About the authors
Preface
Acknowledgments
List of abbreviations
Part Ⅰ
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 Ⅱ
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
Preface
Acknowledgments
List of abbreviations
Part Ⅰ
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 Ⅱ
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
展開全部
固體力學中的基本解方法:英文版 作者簡介
王輝（Hui Wang），河南省特聘教授，博導，澳大利亞奮進研究學者。1999年畢業于蘭州大學理論與應用力學專業，獲理學學士學位；2004年畢業于大連理工大學工程力學專業，獲工學碩士學位；2007年畢業于天津大學固體力學專業，獲工學博士學位；后加入河南工業大學土木工程學院從事教學和科研工作。主要從事基于基本解的無網格方法、雜交有限元方法和復合材料領域的科研工作，在國內外學術期刊上發表47篇SCI收錄論文，在CRC出版社和清華大學出版社出版學術著作3部；主持國家自然科學基金項目3項。 秦慶華（Qing-Hua Qin），澳大利亞國立大學教授。1982年畢業于長安大學機械工程專業；1984年和1990年分別獲華中科技大學固體力學專業碩士學位和博士學位。先后在華中科技大學、天津大學、悉尼大學、澳大利亞國立大學工作。主要研究方向為計算力學、智能材料與結構、生物材料力學、納米材料力學、超材料設計。已在上述研究領域發表了300多篇SCI收錄論文，出版8部專著。
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