Open Access

ABSTRACT

Application of Gaussian Approximating Functions to the Solution of the Second Boundary Value Problem of Elasto-Plasticity for 2D Isotropic Bodies

V. Romero¹, S. Kanaun²

1 MSc. Victor Manuel Romero-Medina, Proffessor and Researcher in the Department of Basic Sciences and Engineering at Universidad del Caribe, vmromero@ucaribe.edu.mx
2 Dr. Sergey Kanaun Mironov: Proffessor and Researcher in the Mechanical Engineering Department at ITESM Campus Estado de México, kanaoun@itesm.mx

The International Conference on Computational & Experimental Engineering and Sciences 2007, 3(4), 233-242. https://doi.org/10.3970/icces.2007.003.233

Abstract

In this work Gaussian approximating functions proposed in the works of V. Maz'ya are used for the solution of the integral equations of elasto-plasticity for isotropic bodies. The use of this functions esentially simplify the calculation of the elements of the final matrix of the linear algebraic equations of the discretized problem. The elements of this matrix turn to be a combination of simple elementary functions. The method is applied to a 2D rectangular body that has a cut on a border and is subjected to axial tension. The convergence of the method is studied on this example.

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