Solving viscoelastic problems with cyclic symmetry via a precise algorithm and EFGM

• 来源期刊: 力学学报（英文版）
• 年，卷（期）: 2006,（2）
• 页码范围: 170-176
• 页数: 7页
• 语种: 英文

摘要

The Paper combines a self-adaptive precise algorithm in the time domain with Meshless Element Free Galerkin Method (EFGM) for solving viscoelastic problems with rotationally periodic symmetry.By expanding variables at a discretized time interval,the variations of variables can be described more precisely, and iteration is not required for non-linear cases.A space-time domain coupled problem with initial and boundary values can be convened into a series of linear recursive boundary value problems,which are solved by a group theory based on EFGM.It has been proved that the coefficient matrix of the global EFG equation for a rotationally periodic system is block-circulant so long as a kind of symmetry-adapted reference coordinate system is adopted,and then a partitioning algorithm for facilitating parallel processing was proposed via a completely orthogonal group transformation.Therefore instead of solving the original system,only a series of independent small sub-problems need to be solved.leading to computational convenience and a higher computing efficiency.Numerical examples are given to illustrate the full advantages of the proposed algorithm.