Two-dimensional mesh optimization in the finite element method

Martínez Marín, Rubén y Samartín, Avelino (1991). Two-dimensional mesh optimization in the finite element method. "Computers & Structures", v. 40 (n. 5); pp. 1169-1175. ISSN 0045-7949. https://doi.org/10.1016/0045-7949(91)90387-2.

Descripción

Título: Two-dimensional mesh optimization in the finite element method
Autor/es:
  • Martínez Marín, Rubén
  • Samartín, Avelino
Tipo de Documento: Artículo
Título de Revista/Publicación: Computers & Structures
Fecha: 1991
Volumen: 40
Materias:
Escuela: E.T.S.I. Caminos, Canales y Puertos (UPM)
Departamento: Mecánica de Medios Continuos y Teoría de Estructuras
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

The solution to the problem of finding the optimum mesh design in the finite element method with the restriction of a given number of degrees of freedom, is an interesting problem, particularly in the applications method. At present, the usual procedures introduce new degrees of freedom (remeshing) in a given mesh in order to obtain a more adequate one, from the point of view of the calculation results (errors uniformity). However, from the solution of the optimum mesh problem with a specific number of degrees of freedom some useful recommendations and criteria for the mesh construction may be drawn. For 1-D problems, namely for the simple truss and beam elements, analytical solutions have been found and they are given in this paper. For the more complex 2-D problems (plane stress and plane strain) numerical methods to obtain the optimum mesh, based on optimization procedures have to be used. The objective function, used in the minimization process, has been the total potential energy. Some examples are presented. Finally some conclusions and hints about the possible new developments of these techniques are also given.

Más información

ID de Registro: 32882
Identificador DC: http://oa.upm.es/32882/
Identificador OAI: oai:oa.upm.es:32882
Identificador DOI: 10.1016/0045-7949(91)90387-2
URL Oficial: http://www.sciencedirect.com/science/article/pii/0045794991903872
Depositado por: Biblioteca ETSI Caminos
Depositado el: 26 Nov 2014 07:33
Ultima Modificación: 14 Abr 2015 15:41
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