Numerical aspects in the SGBEM solution of softening cohesive interface problems

✍ Scribed by A. Aimi; M. Diligenti; F. Freddi

• Book ID: 104005310
• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 261 KB
• Volume: 210
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2006.10.053

✦ Synopsis

Some numerical aspects of a new symmetric Galerkin boundary integral formulation presented in [A. Salvadori, A symmetric boundary integral formulation for cohesive interface problems, Comput. Mech. 32 (2003) 381-391] connected with a like arc-length technique for softening cohesive interface problems introduced in [F. Freddi, Cohesive interface analysis via boundary integral equations, Ph.D. thesis, University of Bologna, Italy, 2004] are here investigated. Further, if the problem is invariant with respect to a finite group G of congruences of the Euclidean space R 2 , we propose to reduce the computational cost of the symmetric Galerkin boundary element method (SGBEM) matrix evaluation and linear system solution using suitable restriction matrices strictly related to a system of irreducible matrix representation of G. Some numerical simulations are presented and discussed.