Penny-shaped crack simulation with a single high order smooth boundary element

He, Donghong; Guo, Zhansheng; Ma, Hang

doi:10.1016/j.enganabound.2020.12.019

Cited by 5 publications

(2 citation statements)

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“…where 0 I K and 0 II K are the SIFs of model-I and model-II, respectively. 1)- (5). Then, the above solutions become the Erdogan fundamental solutions for plane crack problems, which can be denoted as () 0 ( ; )…”

Section: Erdogan Fundamental Solutions For Plane Crack Problemsmentioning

confidence: 99%

“…The analysis of stress intensity factors (SIFs) is of great importance to the assessment of damage tolerance and the prediction of crack propagation for engineering structures. As analytical methods are generally limited to solving simple crack problems [1,2], various numerical methods, e.g., the finite element method (FEM) [3], the extended finite element method (XFEM) [4] and the boundary element method (BEM) [5], have been developed for analysis of SIFs in engineering practice. Due to its high flexibility in modelling complex structures and imposing complex boundary conditions, the FEM is the most commonly used numerical method for solving crack problems of engineering structures.…”

Section: Introductionmentioning

confidence: 99%

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A SFBEM–FEM coupling method for solving crack problems based on Erdogan fundamental solutions

Cai

Zong-ze

2022

J Eng Math

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The boundary element method (BEM) has proven to be an efficient approach for crack analysis in fracture mechanics, while its versatility in application to crack problems of complex structures with irregular boundaries deserves further attention. In this study, to improve the applicability to complex crack analysis, a cracked superelement is first established with BEM to model the near-crack region, and the crack problem is then solved within the frame of finite element method (FEM). The stiffness matrix of the cracked superelement is formulated using the spline fictitious boundary element method (SFBEM) based on the Erdogan fundamental solutions for an infinite plane with a single crack. The proposed superelement is further incorporated into a finite element mesh to simulate the behaviour of the crack zone, and the governing equation of the crack problem is finally established and solved using the typical procedure of FEM. After obtaining the nodal displacements of the superelement, the stress intensity factors (SIFs) of crack tips can be obtained by a backward analysis with SFBEM. The accuracy and efficiency of the proposed SFBEM-FEM coupling method are demonstrated by two numerical examples involving a rectangular plate with a central crack and a square plate with 100 horizontal cracks. The present approach is further applied to the analysis of the SIFs of multiple cracks exposed in a steel anchorage box for a hanger of a suspension bridge, which indicates the merging of the cracked superelements to the commercial FEM software is computationally efficient for the analysis of complex structures with multiple cracks.

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Section: Erdogan Fundamental Solutions For Plane Crack Problemsmentioning

confidence: 99%