An adaptive meshing automatic scheme based on the strain energy density function

Author:

Hernández A.,Albizuri J.,Ajuria M.B.G.,Hormaza M.V.

Abstract

Proposes an automatic adaptive meshing scheme. Error in strain energy is directly obtained through strain energy density function (SED). Versatility of this function, in comparison with that of others, is looked at in detail. Mesh enrichment method consists of a series of h‐refinement steps and concludes with a single p‐refinement step. Adds that an examination of the accuracy of the element used in the refinement procedure is made. This scheme has been implemented in ZATILAN, a FE code developed in the Department of the Mechanical Engineering of the University of the Basque Country.

Publisher

Emerald

Subject

Computational Theory and Mathematics,Computer Science Applications,General Engineering,Software

Reference46 articles.

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2. 2.Turcke, D.J. and McNeice, G.M.A., “Variational approach to grid optimization in the finite element method”, Proceedings of Conference on Variational Methods in Engineering, Southampton University, England, 1972.

3. 3.McNeice, G.M. and Marcal, P.V., “Optimization of finite element grids based on minimum potential energy”, Trans. ASME, J. of Eng. for Industry, Vol. 95, 1973, pp. 186‐90.

4. 4.Killiam, D.E., Selective Refinement of a Finite Element Mesh for Improved Accuracy, M. S. Thesis, Virginia Politechnic Institute and State University, Blacksburg, Virginia, 1975.

5. 5.Szabo, B.A., Busu, P.K. and Rossow, M.F, Adaptive Finite Element Analysis Based on P‐Convergence, NASA Conf. Publ. 2059, 1978.

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