Methods of Fundamental Solutions in Solid Mechanics 1st edition by Hui Wang, Qing-Hua Qin – Ebook PDF Instant Download/DeliveryISBN: 0128182849, 9780128182840
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ISBN-10 : 0128182849
ISBN-13 : 9780128182840
Author : Hui Wang, Qing-Hua Qin
Methods of Fundamental Solutions in Solid Mechanics presents the fundamentals of continuum mechanics, the foundational concepts of the MFS, and methodologies and applications to various engineering problems. Eight chapters give an overview of meshless methods, the mechanics of solids and structures, the basics of fundamental solutions and radical basis functions, meshless analysis for thin beam bending, thin plate bending, two-dimensional elastic, plane piezoelectric problems, and heat transfer in heterogeneous media. The book presents a working knowledge of the MFS that is aimed at solving real-world engineering problems through an understanding of the physical and mathematical characteristics of the MFS and its applications.
Methods of Fundamental Solutions in Solid Mechanics 1st Table of contents:
Part I. Fundamentals of meshless methods
Chapter 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
1.4. Application to the two-dimensional Laplace problem
1.5. Some limitations for implementing the method of fundamental solutions
1.6. Extended method of fundamental solutions
1.7. Outline of the book
Chapter 2. Mechanics of solids and structures
2.1. Introduction
2.2. Basic physical quantities
2.3. Equations for three-dimensional solids
2.4. Equations for plane solids
2.5. Equations for Euler–Bernoulli beams
2.6. Equations for thin plates
2.7. Equations for piezoelectricity
2.8. Remarks
Chapter 3. Basics of fundamental solutions and radial basis functions
3.1. Introduction
3.2. Basic concept of fundamental solutions
3.3. Radial basis function interpolation
3.4. Remarks
Part II. Applications of the meshless method
Chapter 4. Meshless analysis for thin beam bending problems
4.1. Introduction
4.2. Solution procedures
4.3. Results and discussion
4.4. Remarks
Chapter 5. Meshless analysis for thin plate bending problems
5.1. Introduction
5.2. Fundamental solutions for thin plate bending
5.3. Solutions procedure for thin plate bending
5.4. Results and discussion
5.5. Remarks
Chapter 6. Meshless analysis for two-dimensional elastic problems
6.1. Introduction
6.2. Fundamental solutions for two-dimensional elasticity
6.3. Solution procedure for homogeneous elasticity
6.4. Solution procedure for inhomogeneous elasticity
6.5. Further analysis for functionally graded solids
6.6. Remarks
Chapter 7. Meshless analysis for plane piezoelectric problems
7.1. Introduction
7.2. Fundamental solutions for plane piezoelectricity
7.3. Solution procedure for plane piezoelectricity
7.4. Results and discussion
7.5. Remarks
Chapter 8. Meshless analysis of heat transfer in heterogeneous media
8.1. Introduction
8.2. Basics of heat transfer
8.3. Solution procedure of general steady-state heat transfer
8.4. Solution procedure of transient heat transfer
8.5. Remarks
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Methods,Fundamental,Solutions,Solid Mechanics,Hui Wang,Qing-Hua Qin