A piecewise partitioning Scaled Boundary Finite Element algorithm to solve viscoelastic problems with cyclic symmetry. (December 2016)

• Record Type: Journal Article
• Authors: Wang, Chongshuai; He, Yiqian; Yang, Haitian
• Is Part Of: Engineering analysis with boundary elements. Volume 73(2016:Dec.)
• Page Start: 120
• Page End: 128
• Publication Date: 2016-12
• Subjects: Viscoelasticity -- Cyclic symmetry -- SBFEM -- Computational expense; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2016.09.005
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: Scaled Boundary Finite Element Method (SBFEM) and a temporally adaptive algorithm are combined to solve viscoelastic problems. By expanding variables at a discretized time interval, a spatially and temporally coupled viscoelastic problem is decoupled into a series of recursive spatial problems, which are solved by SBFEM, the computing accuracy in the time domain is controlled via a self-adaptive process. For the cyclic symmetric structures, the cyclic symmetry is exploited to reduce the computational expense of SBFEM, both the eigenvalue and system equations of SBFEM are partitioned into a number of smaller independent problems, which are solved by a partitioning algorithm. Two numerical examples are given to verify and illustrate the proposed approach.