Abstract
This chapter presents applications of the boundary element method (BEM) to engineering problems that are reduced to boundary value problems for the Laplace or Poisson equations. In particular, the Saint-Venant torsion problem for isotropic and anisotropic materials is formulated in terms of the warping function and subsequently is solved numerically using the BEM. Rods of various cross-sections encountered in engineering structures are thoroughly analyzed and their torsional stiffness and boundary shear stresses are computed. Then the problems of bending of simply supported plates, membranes, heat conduction, and the irrotational flow of incompressible fluids are formulated as boundary value problems for the Laplace or Poisson equations and numerical results for several case studies are obtained using the BEM. For each of these problems, the reader is provided with a computer program as adjusted for the relevant representative problem. The pertinent bibliography is also included. The chapter is enriched with problems-to-solve aiming at better understanding the efficiency of the BEM as a computational tool to solve potential problems in domains of arbitrary geometry.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: The Boundary Element Method for Engineers and Scientists
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
