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

IR@NAL: CSIR-National Aerospace Laboratories, Bangalore

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Title A complete, correct and consistent variational basis for the displacement type finite element method
 
Creator Prathap, Gangan
 
Subject Metals and Metallic Materials
 
Description 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
 
Date 1993
 
Type Conference or Workshop Item
PeerReviewed
 
Identifier 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.
 
Relation http://nal-ir.nal.res.in/3431/