Numerical analysis of crack-tip fields in functionally graded materials with a crack normal to the elastic gradient

Marur, Prabhakar R.; Tippur, Hareesh V.

doi:10.1016/s0020-7683(99)00207-3

Cited by 122 publications

(47 citation statements)

References 17 publications

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“…Both Gu et al [16] and Anlas et al [17] have considered a Mode I crack where the crack is parallel to the material gradation and have used the FEM code ABAQUS in their analyses. Marur and Tippur [18] have considered a crack normal to the elastic gradient and have performed FEM analysis in conjunction with experiments. Bao and Wang [19] have studied multiple cracking in functionally graded ceramic=metal coatings.…”

Section: Introductionmentioning

confidence: 99%

Finite element evaluation of mixed mode stress intensity factors in functionally graded materials

Kim

Paulino

2001

Numerical Meth Engineering

303

122

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SUMMARYThis paper is directed towards ÿnite element computation of fracture parameters in functionally graded material (FGM) assemblages of arbitrary geometry with stationary cracks. Graded ÿnite elements are developed where the elastic moduli are smooth functions of spatial co-ordinates which are integrated into the element sti ness matrix. In particular, stress intensity factors for mode I and mixed-mode two-dimensional problems are evaluated and compared through three di erent approaches tailored for FGMs: path-independent J * k -integral, modiÿed crack-closure integral method, and displacement correlation technique. The accuracy of these methods is discussed based on comparison with available theoretical, experimental or numerical solutions.

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Section: Introductionmentioning

confidence: 99%

Finite element evaluation of mixed mode stress intensity factors in functionally graded materials

Kim

Paulino

2001

Numerical Meth Engineering

303

122

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“…Then, the true displacements can be obtained by using Eq. (13). Subsequently, the stresses at internal points can be computed by a usual data post-processing.…”

Section: Substitution Of Eq (18) Into the Domain-integral Of Eq (12mentioning

confidence: 99%

“…In recent years, a new class of composite materials, the so-called functionally graded [3][4][5][6][7], the classical finite element method (FEM) [8][9][10][11][12][13][14][15], the graded finite element method [16][17][18][19], the extended finite element method (XFEM) [20], the element-free Galerkin method (EFG) [21,22], the boundary integral equation method (BIEM) or boundary element method (BEM) [23][24][25][26][27], and the meshless Petrov-Galerkin method (MLPG) [28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Fracture analysis of functionally graded materials by a BEM

Gao

Zhang

Sládek

et al. 2008

Composites Science and Technology

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“…The absence of sharp interfaces in FGM reduces material property mismatch, which can lead to significant improvement in damage resistance and mechanical durability. [15][16][17][18] Many FGMs have been fabricated and reported for various applications. [19][20][21] However, there has not been a report about thermal fatigue properties of bulk FGMs which were produced based on the casting process as for as the authors acknowledged.…”

Section: Introductionmentioning

confidence: 99%

Thermal Fatigue Cracking and Extension Behaviors of Squeeze Infiltrated Al18B4O33/Mg Functionally Graded Materials

Lee

Park

et al. 2009

Mater. Trans.

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This paper presents the experimental and analytical investigation on the thermal fatigue fracture mechanism of Al 18 B 4 O 33 /Mg systems in the temperature range of 150-350 C. Three types of functionally graded Al 18 B 4 O 33 /Mg composites which consisted of 2, 3 and 4 layers and where volume fractions of Al 18 B 4 O 33 were gradually changing from 0 to 35% were fabricated using graded preform and squeeze infiltration process. A simple quenching method of thermal shock test was used to simulate the operating state of the automotive composite cylinder liner system. On the other hand, thermal stress intensity factors in FGMs were obtained by the ANSYS finite element code. Through the study of the microstructure in thermal fatigue test, it was found that the thermally induced cracks appeared in two forms, vertical crack and interfacial crack. By the comparison between numerical and experimental results, the vertical cracks considered to be generated by the mode I stress intensity due to the coupled effect of thermal stress and temperature gradient in FGM systems. The depth of the vertical cracks may correspond to a location of mode I stress intensity being equal to the fracture strength of the FGMs. The interfacial cracks were fatigue cracks which were initiated and extended by thermal loads in mixed I and II mode. Both the mode I and II stress intensities were largely reduced with the number of FGM layer. As the stress intensity decreased, the thermal fatigue resistance of Al 18 B 4 O 33 /Mg system was clearly increased with the number of the layer.

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Numerical analysis of crack-tip fields in functionally graded materials with a crack normal to the elastic gradient

Cited by 122 publications

References 17 publications

Finite element evaluation of mixed mode stress intensity factors in functionally graded materials

Finite element evaluation of mixed mode stress intensity factors in functionally graded materials

Fracture analysis of functionally graded materials by a BEM

Thermal Fatigue Cracking and Extension Behaviors of Squeeze Infiltrated Al<SUB>18</SUB>B<SUB>4</SUB>O<SUB>33</SUB>/Mg Functionally Graded Materials

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