Fracture analysis of functionally graded material using digital image correlation technique and extended element-free Galerkin method

Farouq, Wafaa; Khazal, Haider; Hassan, Abdul Kareem F.

doi:10.1016/j.optlaseng.2019.04.021

Cited by 17 publications

(6 citation statements)

References 30 publications

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“…Khazal et al [ 21 ] calculated the fracture parameters, namely T-stress and stress intensity factors of a stepwise functionally graded material (FGM) by using the digital image correlation technique. Farouq et al [ 22 ] investigated the mechanical properties and fracture analysis of a functionally graded material (FGM) made from sphere glass and epoxy resin composites using a hand lay-up process. The stress intensity factor is determined by the digital image correlation technique for the compact tension specimen.…”

Section: Methodsmentioning

confidence: 99%

Experimental Study on the Effect of Gradient Interface on the Mechanical Properties of Cu/WCP Functionally Gradient Materials Using Digital Image Correlation Technique

Liu

et al. 2022

Materials

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In order to investigate the effect of gradient interface on the mechanical properties of Cu/WCP functional gradient materials, digital image correlation technique was used to analyze the mechanical characteristics of laminated Cu/WCP functional gradient material under tension load in the layer direction. In this paper, the deformation information of the specimens is obtained by the digital image correlation method. In order to obtain high-precision measurement results, speckle patterns with small spots and uniform distribution are prepared on the specimen surface by using small sample speckle preparation technology. The tensile experimental results showed that the incorporation of WC particles significantly improved the stiffness and strength of Cu/WCP composites. Meanwhile, the plastic strain and plastic strain rate are non-uniform in each layer of the five-layer Cu/WCP functional gradient material under the tension load along the layer direction. The plastic strain and plastic strain rate in each layer gradually increase along with the decreasing direction of WC content. It is found, from the analysis of experimental results, the existence of the gradient interface has an obvious inhibitory effect on the increase in plastic strain rate along the decreasing direction of WC content, and the specimen fracture location also has a certain relationship with the plastic strain rate, which reflects the important influence of the gradient interface on the mechanical properties of Cu/WCP functional gradient materials.

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Section: Methodsmentioning

confidence: 99%

Experimental Study on the Effect of Gradient Interface on the Mechanical Properties of Cu/WCP Functionally Gradient Materials Using Digital Image Correlation Technique

Liu

et al. 2022

Materials

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“…At elementary level 11 nodes have been taken for solution. Considering the second order differential equation (Strong form) [19] for above problem with body forces,…”

Section: Circular Bar Subjected To Body Forcesmentioning

confidence: 99%

Influence of Weight-Functions on the Performance of Element-Free Galerkin Method

Nagevadiya,

Bhoraniya

2023

Preprint

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The influence of the weight functions on the performance of the element-free Galerkin method has been studied. The convergence and computational cost using various functions for 1D and 2D structural models are examined. Acceptable ranges, as well as the best scaling parameters for each weight function, are pointed out. Mesh-free methods are completely independent of mesh and approximate the governing partial differential equations based on the only set of nodes. We have discussed the analysis of six different weight functions using the physical nature of field problems and show that the continuity of mesh-free shape function i.e., moving least square shape function depends on weight function. It is observed that the so-called weight function which is showing a minimum error is not always true. The convergence & computational cost (computation time) are also important factors. The manuscript contains the solution of 1D and 2D elastostatic problems with ten different weight functions. Paper represents the comparative study of different weight functions to predict the best field behavior with systematic analysis of each case.

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“…Popovich et al [12], Zhao et al [13] studied fatigue load that exerted on certain types of functionally graded materials. Most recently, digital image correlation technique was used with numerical verification on a stepwise functionally graded material made of glass and epoxy to find the path growth of the crack and the stress concentration values [14,15]. On the other hand, the optical method was used to analyze the crack path in a material made continuously from the graded materials and the stress concentration factor and T-stress were also calculated [16].…”

Section: Introductionmentioning

confidence: 99%

XEFGM Fracture Analysis of Functionally Graded Materials under Mixed Mode and Asymmetric Loading

Saleh¹,

Khazal²

2022

Advances in Fatigue and Fracture Testing and Modelling

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This research describes crack analysis in the functionally graded materials (FGMs) by adopting the extended element free Galerkin method (XEFGM) under mixed mode and asymmetric loading. These loads are somewhat similar to fatigue loads because, numerically, they are load values from zero and then directly to the critical load. The meshfree method can be easily simulated the fracture problems against the traditional numerical method because it is not dependent on mesh. Triangles technique in the process of numerical integration at regions of discontinuity, functions of enrichment, and as well as the appropriate support field to contain numerical points and nodes to from the shape functions are used in this study. In addition, incompatible interaction integration technique has used to determine the stress intensity factors (SIFs). Two study cases with different crack positions were studied and compared with the experimental works of the relevant reference literature, where accurate and identical results were obtained.

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Fracture analysis of functionally graded material using digital image correlation technique and extended element-free Galerkin method

Cited by 17 publications

References 30 publications

Experimental Study on the Effect of Gradient Interface on the Mechanical Properties of Cu/WCP Functionally Gradient Materials Using Digital Image Correlation Technique

Experimental Study on the Effect of Gradient Interface on the Mechanical Properties of Cu/WCP Functionally Gradient Materials Using Digital Image Correlation Technique

Influence of Weight-Functions on the Performance of Element-Free Galerkin Method

XEFGM Fracture Analysis of Functionally Graded Materials under Mixed Mode and Asymmetric Loading

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