Computation of stress intensity factors in functionally graded materials using partition-of-unity meshfree method: Aeronautical Journal

Nelson Muthu; Surjya Kumar Maiti; Brian G Falzon; Irene Guiamatsia

doi:10.1017/S0001924000007636

Computation of stress intensity factors in functionally graded materials using partition-of-unity meshfree method: Aeronautical Journal

Nelson Muthu, Surjya Kumar Maiti, Brian G Falzon, Irene Guiamatsia

Monash University

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

12 Citations (Scopus)

Abstract

This paper describes the computation of stress intensity factors (SIFs) for cracks in functionally graded materials (FGMs) using an extended element-free Galerkin (XEFG) method. The SIFs are extracted through the crack closure integral (CCI) with a local smoothing technique, nonequilibrium and incompatibility formulations of the interaction integral and the displacement method. The results for mode I and mixed mode case studies are presented and compared with those available in the literature. They are found to be in good agreement where the average absolute error for the CCI with local smoothing, despite its simplicity, yielded a high level of accuracy.

Original language	English
Pages (from-to)	1263-1287
Number of pages	25
Journal	The Aeronautical Journal
Volume	116
Issue number	1186
DOIs	https://doi.org/10.1017/S0001924000007636
Publication status	Published - 2012
Externally published	Yes

Keywords

Computational mechanics Crack closure Cracks Stress intensity factors Average absolute error Crack closure integral Displacement method Element-free Galerkin Incompatibility formulation Interaction integrals Mesh-free method Partition of unity Functionally graded materials

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10.1017/S0001924000007636

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abstract = "This paper describes the computation of stress intensity factors (SIFs) for cracks in functionally graded materials (FGMs) using an extended element-free Galerkin (XEFG) method. The SIFs are extracted through the crack closure integral (CCI) with a local smoothing technique, nonequilibrium and incompatibility formulations of the interaction integral and the displacement method. The results for mode I and mixed mode case studies are presented and compared with those available in the literature. They are found to be in good agreement where the average absolute error for the CCI with local smoothing, despite its simplicity, yielded a high level of accuracy.",

keywords = "Computational mechanics Crack closure Cracks Stress intensity factors Average absolute error Crack closure integral Displacement method Element-free Galerkin Incompatibility formulation Interaction integrals Mesh-free method Partition of unity Functionally graded materials",

author = "Nelson Muthu and Maiti, {Surjya Kumar} and Falzon, {Brian G} and Irene Guiamatsia",

year = "2012",

doi = "10.1017/S0001924000007636",

language = "English",

volume = "116",

pages = "1263--1287",

journal = "The Aeronautical Journal",

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T1 - Computation of stress intensity factors in functionally graded materials using partition-of-unity meshfree method

T2 - Aeronautical Journal

AU - Muthu, Nelson

AU - Maiti, Surjya Kumar

AU - Falzon, Brian G

AU - Guiamatsia, Irene

PY - 2012

Y1 - 2012

N2 - This paper describes the computation of stress intensity factors (SIFs) for cracks in functionally graded materials (FGMs) using an extended element-free Galerkin (XEFG) method. The SIFs are extracted through the crack closure integral (CCI) with a local smoothing technique, nonequilibrium and incompatibility formulations of the interaction integral and the displacement method. The results for mode I and mixed mode case studies are presented and compared with those available in the literature. They are found to be in good agreement where the average absolute error for the CCI with local smoothing, despite its simplicity, yielded a high level of accuracy.

AB - This paper describes the computation of stress intensity factors (SIFs) for cracks in functionally graded materials (FGMs) using an extended element-free Galerkin (XEFG) method. The SIFs are extracted through the crack closure integral (CCI) with a local smoothing technique, nonequilibrium and incompatibility formulations of the interaction integral and the displacement method. The results for mode I and mixed mode case studies are presented and compared with those available in the literature. They are found to be in good agreement where the average absolute error for the CCI with local smoothing, despite its simplicity, yielded a high level of accuracy.

KW - Computational mechanics Crack closure Cracks Stress intensity factors Average absolute error Crack closure integral Displacement method Element-free Galerkin Incompatibility formulation Interaction integrals Mesh-free method Partition of unity Functionall

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SN - 0001-9240

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SP - 1263

EP - 1287

JO - The Aeronautical Journal

JF - The Aeronautical Journal

IS - 1186

ER -

Computation of stress intensity factors in functionally graded materials using partition-of-unity meshfree method: Aeronautical Journal

Abstract

Keywords

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