Finite-part integral and boundary element method to solve flat crack problems

1992 ◽  
Vol 13 (12) ◽  
pp. 1089-1095 ◽  
Author(s):  
Qin Tai-yan ◽  
Tang Ren-ji
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Finite Part ◽  
Crack Problems ◽  
Flat Crack ◽  
Element Method

An Effective Numerical Approach for Multiple Void-Crack Interaction

2005 ◽  
Vol 73 (4) ◽  
pp. 525-535 ◽  
Author(s):  
Xiangqiao Yan
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Elastic Plate ◽  
Homogeneous Problem ◽  
Crack Problem ◽  
General System ◽  
Numerical Approach ◽  
Displacement Discontinuity ◽  
Crack Problems ◽  
Element Method

This paper presents a numerical approach to modeling a general system containing multiple interacting cracks and voids in an infinite elastic plate under remote uniform stresses. By extending Bueckner’s principle suited for a crack to a general system containing multiple interacting cracks and voids, the original problem is divided into a homogeneous problem (the one without cracks and voids) subjected to remote loads and a multiple void-crack problem in an unloaded body with applied tractions on the surfaces of cracks and voids. Thus the results in terms of the stress intensity factors (SIFs) can be obtained by considering the latter problem, which is analyzed easily by means of the displacement discontinuity method with crack-tip elements (a boundary element method) proposed recently by the author. Test examples are included to illustrate that the numerical approach is very simple and effective for analyzing multiple crack/void problems in an infinite elastic plate. Specifically, the numerical approach is used to study the microdefect-finite main crack linear elastic interaction. In addition, complex crack problems in infinite/finite plate are examined to test further the accuracy and robustness of the boundary element method.

scholarly journals Analysis of Elastostatic Crack Problems by Boundary Element Method.

1997 ◽  
Vol 63 (605) ◽  
pp. 53-60
Author(s):  
Masahiro ARAI ◽  
Mitsuhiro IZUMI ◽  
Tadaharu ADACHI ◽  
Hiroyuki MATSUMOTO
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Crack Problems ◽  
Element Method

scholarly journals Dual Boundary Element Method Applied to Antiplane Crack Problems

2009 ◽  
Vol 2009 ◽  
pp. 1-10 ◽  
Author(s):  
Wei-Liang Wu
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Boundary Integral Equations ◽  
Outer Boundary ◽  
Shear Loading ◽  
Boundary Integral ◽  
Plane Shear ◽  
Dual Boundary Element Method ◽  
Crack Problems ◽  
Element Method

This paper is concerned with an efficient dual boundary element method for 2d crack problems under antiplane shear loading. The dual equations are the displacement and the traction boundary integral equations. When the displacement equation is applied on the outer boundary and the traction equation on one of the crack surfaces, general crack problems with anti-plane shear loading can be solved with a single region formulation. The outer boundary is discretised with continuous quadratic elements; however, only one of the crack surfaces needs to be discretised with discontinuous quadratic elements. Highly accurate results are obtained, when the stress intensity factor is evaluated with the discontinuous quarter point element method. Numerical examples are provided to demonstrate the accuracy and efficiency of the present formulation.

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