The perturbation method and the extended finite element method.: An application to fracture mechanics problems

被引：6
|
作者：
Grasa, J. [1 ]
Bea, J. A. [1 ]
Rodriguez, J. F. [1 ]
Doblare, M. [1 ]
机构：
[1] Univ Zaragoza, Aragon Inst Engn Res I3A, Grp Struct Mech & Mat Modeling, E-50018 Zaragoza, Spain
来源：
FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES | 2006年 / 29卷 / 08期
关键词：
fracture mechanics; probabilistic extended finite element method;
D O I：
10.1111/j.1460-2695.2006.01028.x
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The extended finite element method has been successful in the numerical simulation of fracture mechanics problems. With this methodology, different to the conventional finite element method, discretization of the domain with a mesh adapted to the geometry of the discontinuity is not required. On the other hand, in traditional fracture mechanics all variables have been considered to be deterministic (uniquely defined by a given numerical value). However, the uncertainty associated with these variables (external loads, geometry and material properties, among others) it is well known. This paper presents a novel application of the perturbation method along with the extended finite element method to treat these uncertainties. The methodology has been implemented in a commercial software and results are compared with those obtained by means of a Monte Carlo simulation.
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页码：581 / 587
页数：7
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