Fracture mechanics analysis of multiple cracks in anisotropic media

Chia Huei Tu; C. S. Chen; T. T. Yu

doi:10.1002/nag.953

Fracture mechanics analysis of multiple cracks in anisotropic media

Chia Huei Tu, C. S. Chen, T. T. Yu

Department of Resources Engineering

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

This paper presents a single-domain boundary element method (BEM) for linear elastic fracture mechanics analysis in the two-dimensional anisotropic material. In this formulation, the displacement integral equation is collocated on the un-cracked boundary only, and the traction integral equation is collocated on one side of the crack surface only. A special crack-tip element was introduced to capture exactly the crack-tip behavior. A computer program with the FORTRAN language has been developed to effectively calculate the stress intensity factors of an anisotropic material. This BEM program has been verified having a good accuracy with the previous researches. Furthermore, by analyzing the different anisotropic degree cracks in a finite plate, we found that the stress intensity factors of crack tips had apparent influence by the geometry forms of cracks and media with different anisotropic degrees.

Original language	English
Pages (from-to)	1226-1242
Number of pages	17
Journal	International Journal for Numerical and Analytical Methods in Geomechanics
Volume	35
Issue number	11
DOIs	https://doi.org/10.1002/nag.953
Publication status	Published - 2011 Aug 10

All Science Journal Classification (ASJC) codes

Computational Mechanics
Materials Science(all)
Geotechnical Engineering and Engineering Geology
Mechanics of Materials

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abstract = "This paper presents a single-domain boundary element method (BEM) for linear elastic fracture mechanics analysis in the two-dimensional anisotropic material. In this formulation, the displacement integral equation is collocated on the un-cracked boundary only, and the traction integral equation is collocated on one side of the crack surface only. A special crack-tip element was introduced to capture exactly the crack-tip behavior. A computer program with the FORTRAN language has been developed to effectively calculate the stress intensity factors of an anisotropic material. This BEM program has been verified having a good accuracy with the previous researches. Furthermore, by analyzing the different anisotropic degree cracks in a finite plate, we found that the stress intensity factors of crack tips had apparent influence by the geometry forms of cracks and media with different anisotropic degrees.",

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AU - Tu, Chia Huei

AU - Chen, C. S.

AU - Yu, T. T.

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N2 - This paper presents a single-domain boundary element method (BEM) for linear elastic fracture mechanics analysis in the two-dimensional anisotropic material. In this formulation, the displacement integral equation is collocated on the un-cracked boundary only, and the traction integral equation is collocated on one side of the crack surface only. A special crack-tip element was introduced to capture exactly the crack-tip behavior. A computer program with the FORTRAN language has been developed to effectively calculate the stress intensity factors of an anisotropic material. This BEM program has been verified having a good accuracy with the previous researches. Furthermore, by analyzing the different anisotropic degree cracks in a finite plate, we found that the stress intensity factors of crack tips had apparent influence by the geometry forms of cracks and media with different anisotropic degrees.

AB - This paper presents a single-domain boundary element method (BEM) for linear elastic fracture mechanics analysis in the two-dimensional anisotropic material. In this formulation, the displacement integral equation is collocated on the un-cracked boundary only, and the traction integral equation is collocated on one side of the crack surface only. A special crack-tip element was introduced to capture exactly the crack-tip behavior. A computer program with the FORTRAN language has been developed to effectively calculate the stress intensity factors of an anisotropic material. This BEM program has been verified having a good accuracy with the previous researches. Furthermore, by analyzing the different anisotropic degree cracks in a finite plate, we found that the stress intensity factors of crack tips had apparent influence by the geometry forms of cracks and media with different anisotropic degrees.

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