Publicación: A mlpg formulation for stress analysis in bi-dimensional elastic bodies
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Paternina L., Arrieta E., Useche J. (2021) A MLPG Formulation for Stress Analysis in Bi-dimensional Elastic Bodies. In: Cortes Tobar D., Hoang Duy V., Trong Dao T. (eds) AETA 2019 - Recent Advances in Electrical Engineering and Related Sciences: Theory and Application. AETA 2019. Lecture Notes in Electrical Engineering, vol 685. Springer, Cham. https://doi.org/10.1007/978-3-030-53021-1_61
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In this work, a meshfree method known as Meshless Local Petrov-Galerkin was implemented in a bidimensional linear elasticity problem. Bidimensional MLS shape functions were used in the polynomial approximation of the displacement and stress fields. The numerical integration was carried out by the Gauss-Legendre scheme and the quadrature points were located using the cartesian coordinate system. The local integration domain and the influence domain had circular shapes. A comparison with the analytical solutions of a plate with a circular hole subjected to traction was done. Numerical results showed a good agreement in the displacement and stress fields. Some schemes for improving the accuracy of the solutions were proposed.
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978-3-030-53020-4