Multiple crack detection in 3D using a stable XFEM and global optimization

被引：60
作者：
Agathos, Konstantinos [2 ]
Chatzi, Eleni [3 ]
Bordas, Stephane P. A. [1 ,2 ]
机构：
[1] Cardiff Univ, Inst Theoret Appl & Computat Mech, Cardiff CF24 3AA, S Glam, Wales
[2] Luxembourg Univ, Res Unit Engn Sci, 6 Rue Richard Coudenhove Kalergi, L-1359 Luxembourg, Luxembourg
[3] Swiss Fed Inst Technol, Inst Struct Engn, Stefano Franscini Pl 5, CH-8093 Zurich, Switzerland
来源：
COMPUTATIONAL MECHANICS | 2018年 / 62卷 / 04期
基金：
英国工程与自然科学研究理事会; 瑞士国家科学基金会; 欧洲研究理事会;
关键词：
Crack detection; XFEM; Genetic algorithms; CMA-ES; EXTENDED FINITE-ELEMENT; CMA EVOLUTION STRATEGY; DAMAGE DETECTION; LEVEL SETS; NONDESTRUCTIVE EVALUATION; DETECTION ALGORITHM; X-FEM; FLAWS; IDENTIFICATION; GROWTH;
D O I：
10.1007/s00466-017-1532-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A numerical scheme is proposed for the detection of multiple cracks in three dimensional (3D) structures. The scheme is based on a variant of the extended finite element method (XFEM) and a hybrid optimizer solution. The proposed XFEM variant is particularly well-suited for the simulation of 3D fracture problems, and as such serves as an efficient solution to the so-called forward problem. A set of heuristic optimization algorithms are recombined into a multiscale optimization scheme. The introduced approach proves effective in tackling the complex inverse problem involved, where identification of multiple flaws is sought on the basis of sparse measurements collected near the structural boundary. The potential of the scheme is demonstrated through a set of numerical case studies of varying complexity.
引用
收藏
页码：835 / 852
页数：18
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