Methods of Fundamental Solutions in Solid Mechanics

Presents the foundational concepts and working knowledge needed to apply the method of fundamental solutions (MFS) to physical and engineering problems

Hui Wang (Author), Qing-Hua Qin (Author)

9780128182833

Paperback, published 7 June 2019

312 pages, 80 illustrations (20 in full color)
22.9 x 15.1 x 2 cm, 0.48 kg

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.

1. Overview of meshless methods2. Mechanics of solids and structures3. Basics of fundamental solutions and radial basis functions4. Meshless analysis for thin beam bending problems5. Meshless analysis for thin plate bending problems6. Meshless analysis for two-dimensional elastic problems7. Meshless analysis for plane piezoelectric problems8. Meshless analysis for heat transfer in heterogeneous media

Subject Areas: Mechanical engineering [TGB]