A mlpg formulation for stress analysis in bi-dimensional elastic bodies

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.

• Autores: Paternina, Luis; Arrieta Ortiz, Edgardo William; Useche Vivero, Jairo
• Fecha de publicación: 2020
• Institución: Universidad Tecnológica de Bolívar
• Repositorio: Repositorio Institucional UTB
• Idioma: eng
• OAI Identifier: oai:repositorio.utb.edu.co:20.500.12585/10040
• Acceso en línea: https://hdl.handle.net/20.500.12585/10040; https://link.springer.com/chapter/10.1007/978-3-030-53021-1_61
• Palabra clave: MLPG; Meshfree methods; Linear elasticity; Bidimensional; LEMB
• Rights: closedAccess
• License: http://purl.org/coar/access_right/c_14cb