Numerical aspects in the SGBEM solution of softening cohesive interface problems |
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Authors: | A. Aimi M. Diligenti F. Freddi |
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Affiliation: | aDepartment of Mathematics, University of Parma, 43100 Parma, Italy bDepartment of Civil Engineering, University of Parma, 43100 Parma, Italy |
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Abstract: | 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 of congruences of the Euclidean space , 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 . Some numerical simulations are presented and discussed. |
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Keywords: | Boundary integral equation Cohesive interface Symmetric Galerkin Boundary Element Method (SGBEM) Arc-length technique Restriction matrices |
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