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Methods of Fundamental Solutions in Solid Mechanics

Autor Hui Wang, Qinghua Qin
en Limba Engleză Paperback – 6 iun 2019
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.


  • Explains foundational concepts for the method of fundamental solutions (MFS) for the advanced numerical analysis of solid mechanics and heat transfer
  • Extends the application of the MFS for use with complex problems
  • Considers the majority of engineering problems, including beam bending, plate bending, elasticity, piezoelectricity and heat transfer
  • Gives detailed solution procedures for engineering problems
  • Offers a practical guide, complete with engineering examples, for the application of the MFS to real-world physical and engineering challenges
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Specificații

ISBN-13: 9780128182833
ISBN-10: 0128182830
Pagini: 312
Ilustrații: 80 illustrations (20 in full color)
Dimensiuni: 152 x 229 mm
Greutate: 0.42 kg
Editura: ELSEVIER SCIENCE

Public țintă

Engineers and scientists in mechanical engineering, civil engineering, applied mechanics, materials science, computational mechanics, aerospace engineering; research students, and researchers in advanced numerical analysis of solid mechanics and heat transfer in applied mathematics, mechanics, and material engineering.

Cuprins

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
AppendixA. Derivatives of function in terms of radial variable rB. TransformationsC. Derivatives of approximated particular solutions in inhomogeneous plane elasticity