Journal Press India^®

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Elastic deformation of metal parts has been a matter of great concern for investigation of researchers in academia and research institutions all over the world. Literature reveals that earlier researchers have applied efforts for evaluating Gaussian and spline test functions only for predicting elastic deformations. However few research efforts have been reported in literature for predicting elastic deformation through modified meshless method using exponential test functions. This paper presents an investigation for evaluating distinct test function for predicting elastic deformations of metal parts using modified meshless method. In present work, a modified meshless method has been implemented with three distinct test functions namely Gaussian, Exponential and Spline both with linear and quadratic basis function. Results of investigation reveal that Gaussian test function provides accurate results followed by exponential and spline functions. Effect of choosing different geometrical parameters affecting the solution for prediction of elastic deformation in case of exponential test function has also been presented here. Moreover, the present investigation for evaluating distinct test functions for predicting elastic deformations of metal parts using modified meshless method helps to observe that computational results with higher order basis functions are almost ten times better when compared with lower order basis functions.

Keywords

Modified Meshless Method; Meshless Local Petrov Galerkin (MLPG) Method; Moving Least Square (MLS) Method; Test Function; Elastic Deformation.

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