ENRICHED GOAL-ORIENTED ERROR ESTIMATION APPLIED TO FRACTURE MECHANICS PROBLEMS SOLVED BY XFEM

• Published in: Acta mechanica solida Sinica Vol. 25; no. 4; pp. 393 - 403
• Main Authors: Lin, Zhijia, Zhuang, Zhuo, You, Xiaochuan, Wang, Heng, Xu, Dandan
• Format: Journal Article
• Language: English
• Published: Singapore Elsevier Ltd 01.08.2012; Springer Singapore
• Subjects: ABAQUS; Classical Mechanics; Computer simulation; Degrees of freedom; Engineering; Enrichment; error bounds; Errors; extended finite element method; Finite element method; Fracture mechanics; goal-oriented error estimation; Mathematical analysis; Stress intensity factor; Surfaces and Interfaces; Theoretical and Applied Mechanics; Thin Films; 富硒; 导向; 应力强度因子; 应用; 断裂力学; 误差估计; 题解; extended finite element method; goal-oriented error estimation; error bounds; fracture mechanics

Based on the concept of constitutive relation error along with the residual of both origin and dual problems, a goal-oriented error estimation method with extended degrees of freedom is developed in this paper. It leads to high quality local error bounds in the problem of fracture mechanics simulati...