A piecewise partitioning Scaled Boundary Finite Element algorithm to solve viscoelastic problems with cyclic symmetry

详细信息    查看全文

• 作者：Chongshuai Wang ; Yiqian He ; Haitian Yang ; ^{haitian@dlut.edu.cn}
• 关键词：Viscoelasticity ; Cyclic symmetry ; SBFEM ; Computational expense
• 刊名：Engineering Analysis with Boundary Elements
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：73
• 期：Complete
• 页码：120-128
• 全文大小：1300 K
• 卷排序：73

文摘

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.