An extended element free Galerkin method for fracture analysis of functionally graded materials

Khazal, Haider; Bayesteh, H.; Mohammadi, Soheil; Ghorashi, Seyed Shahram; Ahmed, Ameen

doi:10.1080/15376494.2014.984093

Cited by 41 publications

(9 citation statements)

References 35 publications

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“…A good enrichment formula [9] has been utilized to capture all the discontinuity terms in the region of crack that representing in the displacement field:…”

Section: Figure 1: 2d Orthotropic Functionally Graded Bodymentioning

confidence: 99%

“…Where s 1 and s 2 are the roots of the trait approach of the orthotropic cracked body; while c ij is an ingredient of compliance matrix C. More details on the relevant meshfree method, enrichment functions, and M-integral can be determined in [9]. Substituting and into (19), gives…”

Section: Stress Intensity Factor Determinationmentioning

confidence: 99%

“…J. Sladek et al [8] employed the meshless local technique to determine the stress intensity factors in the related materials. H. Khazal et al [9], and H. Khazal and N. Saleh [10] developed a meshfree method and then applied it to find SIFs in FGM. Hassanein Ibraheem et al [11] applied XEFGM to find the SIFs in FGM under thermal load.…”

Section: Introductionmentioning

confidence: 99%

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Extended Meshfree Approach for Crack Statistical Analysis of Anisotropic Functionally Graded Brazilian Disc Subjected to Traction Load

Khalaf¹,

Mehbes²,

Nassar³

2020

ETJ

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An extended meshless method that relying upon Galerkin formulation is applied on the crack analysis of orthotropic functionally graded Brazilian disc. Weak form is involved to solve the governing equation in the numerical method. In addition, enrichment terms and sub-triangle techniques are applied to improve the accuracy of relevant results. This paper depicts the influence of variation in the crack stretch and non-homogeneity parameters on the values of stress intensity factors using a developed MATLAB program. In the isotropic case, it is clear that when the length of crack increases, SIF increases. Graduation in has more effect in increasing the values of SIF in corresponding increased crack length. The verification has been checked by changing the range of the J-integral domain and variation of the support domain.

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“…A good enrichment formula [9] has been utilized to capture all the discontinuity terms in the region of crack that representing in the displacement field:…”

Section: Figure 1: 2d Orthotropic Functionally Graded Bodymentioning

confidence: 99%

Section: Stress Intensity Factor Determinationmentioning

confidence: 99%

See 1 more Smart Citation

Extended Meshfree Approach for Crack Statistical Analysis of Anisotropic Functionally Graded Brazilian Disc Subjected to Traction Load

Khalaf¹,

Mehbes²,

Nassar³

2020

ETJ

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“…The authors extended their 2D tying procedure to 3D for accurate crack front closure. Recently, Khazal et al [169] deployed an extended element free Galerkin method (XEFGM) for fracture analysis of FGM. The authors have used orthotropic enrichments functions along with the sub-triangle technique for enhancing the Gauss quadrature accuracy near the crack, and the incompatible interaction integral method is employed to calculate the stress intensity factors.…”

Section: Fracture Analysis and Delamination Effectsmentioning

confidence: 99%

A review of research and recent trends in analysis of composite plates

2018

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The use of advance composite materials is increasing in various industrial applications such as renewable energy, transportation, medical devices, etc. As the demand for stability under high mechanical, thermal, electrical and combined loads is increasing, research is being focused on developing newer types of composites and developing analytical and numerical methods to study composite plates as well. The present work is aimed to provide a comprehensive review of research in the structural analysis of composite plates along-with research trends in the last 15 years. The article first presents the evolution of plate theories comparing their formulations, applicability and discusses some key papers, results and conclusions. Evolution of research from the equivalent shear deformation theories (ESL) such as first order theory and higher order theories based on various shape strain functions e.g., polynomial, trigonometric to layer-wise, zigzag and displacement potential theories is presented. The comparative analysis of various solution approaches is done based on a review of research work in the structural analysis of plates. This is followed by review of meshless analysis methods for composite materials highlighting problem domains where conventional finite element analysis (FEA) approach has limitations. This article also presents a discussion on the new methods of plate analysis such as region-by-region modeling, hierarchic modeling and mixed FE and neural network based modeling. An attempt has been done in this article to focus on research trends in the last 15 years.

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“…Zhou et al [Zhou, Ren, Meng et al (2017); Zhou, Meng, Li et al (2016)] proposed a virtual crack closure technique based on non-uniform finite element method, developed a virtual fracture node element for functionally graded materials under dynamic loads, and calculated the energy release rate of functionally graded plates under dynamic loads by Abaqus. Khazal et al [Khazal, Bayesteh, Mohammadi et al (2015)] have adopted an extended element free Galerkin method (XEFGM) to simulate the fracture behavior of FGM. The dynamic fracture mechanics of FGMS under thermal shock loading was analyzed by Zheng et al [Zheng, Yang, Gao et al (2018)] with a coupled thermoelastic radial integral boundary element method.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Fracture Analysis of Functionally Gradient Materials with Two Cracks By Peridynamic Modeling

Cheng¹,

Jin²,

Yuan³

et al. 2019

Computer Modeling in Engineering &Amp; Sciences

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In the research, the dynamic fracture failure problem of functionally graded materials (FGMs) containing two pre-cracks was analyzed using a bond-based Peridynamic (PD) method numerical model. The two convergence of decreasing the area of PD horizon (δ-convergence) and uniform mesh refinement (m-convergence) were studied. The effects of both crack position and distance between two cracks on crack propagation pattern in FGMs plate under tensile loads are studied. Furthermore, the effects of different gradient patterns on the dynamic propagation of cracks in FGMs are also investigated. The simulate results suggest that the cracks positions and the distance between them can significantly influence the dynamic propagation of crack in FGMs. Gradient mode also has a certain effect on crack propagation, but the effect of specific gradient variation patterns on dynamic propagation of crack is finite.

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An extended element free Galerkin method for fracture analysis of functionally graded materials

Cited by 41 publications

References 35 publications

Extended Meshfree Approach for Crack Statistical Analysis of Anisotropic Functionally Graded Brazilian Disc Subjected to Traction Load

Extended Meshfree Approach for Crack Statistical Analysis of Anisotropic Functionally Graded Brazilian Disc Subjected to Traction Load

A review of research and recent trends in analysis of composite plates

Dynamic Fracture Analysis of Functionally Gradient Materials with Two Cracks By Peridynamic Modeling

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