Abstract
Compared with a given boundary value problem of plane elasticity, the corresponding conventional boundary integral equation is shown to yield non-equivalent solutions which are dependent upon Poisson's ratio and geometry. Such a non-equivalence of solutions of boundary integral equations can be eliminated by using a necessary and sufficient boundary integral formulation proposed by He [Necessary and sufficient BIE-BEM: its theory and practice. Ph.D. Dissertation, Zhejiang University, Hangzhou, China (1993)]. Numerical analysis shows that the conventional boundary integral equation yields incorrect non-equivalent results when the scale in the fundamental solution is near its degenerate scale value. Also, this non-equivalence can be remedied by using the necessary and sufficient boundary integral equation.
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 callDisclaimer: 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.
