The Stable Explicit Time Stepping Analysis with a New Enrichment Scheme by XFEM

• 作者: Qing Zhang Xiao-zhou Xia Xue-cong Liu
• 来源期刊: 计算机、材料和连续体(英文)
• 学科: 数学
• 关键词: XFEM DSIF NEWMARK SCHEME time STEPPING stability
• 年，卷（期）: 2017,（3）
• 页码范围: 187-206
• 页数: 20页
• 分类号: O17

摘要

This paper focuses on the study of the stability of explicit time integration algorithm for dynamic problem by the Extended Finite Element Method(XFEM).A new enrichment scheme of crack tip is proposed within the framework of XFEM.Then the governing equations are derived and evolved into the discretized form.For dynamic problem,the lumped mass and the explicit time algorithm are applied.With different grid densities and different forms of Newmark scheme,the Dynamic Stress Intensity Factor(DSIF)is computed by using interaction integral approach to reflect the dynamic response.The effectiveness of the proposed scheme is demonstrated through the numerical examples,and the critical time stepping in different situations are listed and analyzed to illustrate the factors that affect the numerical stability.