A complete, correct and consistent variational basis for the displacement type finite element method

Prathap, Gangan (1993) A complete, correct and consistent variational basis for the displacement type finite element method. In: Recent advances in aerospace sciences and engineering; Proceedings of the International Symposium, 12-15 Dec 1992, Bangalore, India.

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Abstract

Arguments are presented showing the inadequacy of the minimum total potential energy principle for describing the capabilities of the displacement-based finite element formulation. It is shown that, to explain many significant features of the displacement-based procedure, it is necessary to use the general Hu-Washizu principle based on three independent fields, and the Hellinger-Reissner two-field principle. Applications where the Hu-Washizu interpretation is a must to provide a completely rational basis include the modeling of constrained media elasticity, stress resultant computations where the modulus matrix varies over the element domain, and thermal stress recovery in problems where the temperature field varies over the element domain

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Beams(Supports);Displacement;Variational principles;Finite element method;Elastic deformation;Thermal stresses;Numerical integration;Flexible bodies;Shear strain
Subjects: CHEMISTRY AND MATERIALS > Metals and Metallic Materials
Division/Department: CSIR Centre for Mathematical Modelling and Computer Simulation
Depositing User: Mrs Manoranjitha M D
Date Deposited: 15 Nov 2006
Last Modified: 24 May 2010 09:53
URI: http://nal-ir.nal.res.in/id/eprint/3431

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