Boundary Element Method
Sutradhar, Alok - Paulino, Glaucio H. - Gray, Leonard J.
• Written in a form suitable for a graduate level textbook as well as a self-learning tutorial in the field.
• Covers applications in two-dimensional and three-dimensional problems of potential theory and elasticity. Additional basic topics involve axisymmetry, multi-zone and interface formulations. More advanced topics include fluid flow (wave breaking over a sloping beach), non-homogeneous media, functionally graded materials (FGMs), anisotropic elasticity, error estimation, adaptivity, and fracture mechanics.
• Presents integral equations as a basis for the formulation of general symmetric Galerkin boundary element methods and their corresponding numerical implementation.
• Designed to convey effective unified procedures for the treatment of singular and hypersingular integrals that naturally arise in the method. Symbolic codes using Maple® for singular-type integrations are provided and discussed in detail.
• The user-friendly adaptive computer code BEAN (Boundary Element ANalysis), fully written in Matlab®, is available as a companion to the text. The complete source code, including the graphical user-interface (GUI), can be downloaded here. The source code can be used as the basis for building new applications, and should also function as an effective teaching tool. To facilitate the use of BEAN, a video tutorial and a library of practical examples are provided.
Written for: Students, academia, engineers in industry, national laboratories.
02 Boundary Integral Equations
03 Two Dimensional Analysis
04 Three Dimensional Analysis
05 Surface Gradient
07 Interface and Multizone
08 Error Estimation and Adaptivity
09 Fracture Mechanics
10 Nonhomogenous media
11 BEAN: Boundary Element ANalysis Program
Appendix A: Mathematical Preliminaries and Notations
Appendix B: Gaussian Integration
Appendix C: Maple Codes for treatment of hypersingular integral
276 p. 106 illus., 22 in color., Hardcover