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Accelerated element-free Galerkin method for analysis of fracture problems

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Abstract

The work presents a modified form of element-free Galerkin method (EFGM) based on a procedure which allows selection of equal number of nodes in the support domain. This procedure is further improved by selecting domain nodes depending on the region of the problem geometry. The optimum number of support domain nodes is obtained by performing an optimization of selectable EFGM parameters namely total number of nodes in problem geometry, Gauss quadrature and random or desired number of nodes in support domain. Taguchi L-16 orthogonal array is used to obtain optimized values of these parameters. The optimized EFGM parameters provide good accuracy with lesser number of nodal points and reduce the computational time of conventional EFGM by an average of 85%. Interaction integral technique has been used in order to extract the stress intensity factors for the simulated problems. The worth of so presented accelerated element-free Galerkin method (AEFG) is established by simulating various cases of fracture problems and the results so obtained are concurrent with those available in literature.

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  1. Deptartment of Mechanical Engineering, National Institute of Technology, Hamirpur, H.P., 177005, India

    Sahil Garg & Mohit Pant

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  1. Sahil Garg
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Correspondence to Sahil Garg.

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Technical Editor: Paulo de Tarso Rocha de Mendonça, Ph.D.

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Garg, S., Pant, M. Accelerated element-free Galerkin method for analysis of fracture problems. J Braz. Soc. Mech. Sci. Eng. 40, 541 (2018). https://doi.org/10.1007/s40430-018-1459-z

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