Linear smoothed extended finite element method for fatigue crack growth simulations

被引：49
作者：
Surendran, M. [1 ]
Natarajan, Sundararajan [2 ]
Palani, G. S. [1 ]
Bordas, Stephane P. A. [3 ,4 ,5 ]
机构：
[1] CSIR Struct Engn Res Ctr, Acad Sci & Innovat Res, CSIR Campus, Madras 600107, Tamil Nadu, India
[2] Indian Inst Technol Madras, Integrated Modelling & Simulat Lab, Dept Mech Engn, Madras 600036, Tamil Nadu, India
[3] Univ Luxembourg, Fac Sci Technol & Commun, Inst Computat Engn, Luxembourg, Luxembourg
[4] Cardiff Univ, Sch Engn, Cardiff CF24 3AA, S Glam, Wales
[5] Duy Tan Univ, Inst Res & Dev, K7-25 Quang Trung, Danang, Vietnam
来源：
ENGINEERING FRACTURE MECHANICS | 2019年 / 206卷
基金：
英国工程与自然科学研究理事会;
关键词：
Smoothed finite element method; Linear smoothing; Extended finite element method; Level set method; Numerical integration; Fracture mechanics; Stress intensity factor; Paris' law; Fatigue crack growth; Cold formed steel; ADAPTIVE MESH REFINEMENT; LEVEL SET METHOD; X-FEM; ARBITRARY DISCONTINUITIES; ISOGEOMETRIC ANALYSIS; INTERFACIAL CRACK; WEAK FORM; PROPAGATION; PARTITION; UNITY;
D O I：
10.1016/j.engfracmech.2018.11.011
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In this paper, the recently proposed linear smoothed extended finite element method (LSmXFEM) is employed to simulate the fatigue crack growth. Unlike the conventional extended finite element method, the LSmXFEM does not require special numerical integration technique to integrate the terms in the stiffness matrix. The stress intensity factors (SIFs) are evaluated by using the domain form of the interaction integral technique. The fatigue crack growth rate is evaluated using the generalized Paris' law in conjunction with the maximum hoop stress criterion. The robustness of the method is demonstrated with a few examples for which the results are available in the literature. Then, the fatigue crack growth from the numerical simulation is compared with the experimental investigations performed on CRS grade cold formed steel. It is seen that the fatigue life and the crack path obtained from the proposed method is in close agreement with the experimental observation.
引用
收藏
页码：551 / 564
页数：14
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