The effect of crack length on the fracture parameters of an edge crack parallel to the material variation in a rectangular FGM plate

In this study, the extended element free Galerkin method (XEFG) is used for crack analysis an edge crack parallel to the material variation in a rectangular functionally graded material (FGM) plate under traction loading. For the first time, the effective parameters of XEFGM are employed such as the...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering 2020-03, Vol.765 (1), p.12058
Main Authors: Khazal Mehbes, Haider, Ibraheem Khalaf, Hassanein, Ahmed Nasser, Ameen
Format: Article
Language:English
Subjects:
crack length
Domains
Edge cracks
extended element free Galerkin method
Fracture mechanics
functionally graded materials
Functionally gradient materials
Galerkin method
J integral
Numerical integration
Parameters
Stress intensity factors
Triangulation
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Summary:In this study, the extended element free Galerkin method (XEFG) is used for crack analysis an edge crack parallel to the material variation in a rectangular functionally graded material (FGM) plate under traction loading. For the first time, the effective parameters of XEFGM are employed such as the sub-triangulation term for numerical integration, suitable influence domain, and enrichment functions for discontinues locations in the fracture analysis of different crack positions of an edge cracked FGM plate. In addition, the incompatible formulation is adopted to extract the stress intensity factors (SIFs). Good data and results are observed about the relationship between the crack lengths and SIFs with good verification during changing XEFG parameters. There is good agreement and stability in the results of SIFs through the sizes of J-integral rJ equal to 0.4 -0.8. In addition, the acceptance results for the size of the support domain are bound between dmax=1.52 to 2.
ISSN:1757-8981
1757-899X
DOI:10.1088/1757-899X/765/1/012058