Improvements of Finite Element Solutions for Structural and Non Structural Applications
Report Number: AFFDL TR 71-160 p. 305-346
Author(s): Sander, G., Beckers, P.
Corporate Author(s): Laboratoire de Techniques Aeronautiques et Spatiales University of Liege, Belgium
Date of Publication: 1973-12
Pages: 41
DoD Task:
Identifier: This paper is part of a conference proceedings. See AD0785968
Abstract:
The paper presents a new formulation which allows the derivation of finite element properties in terms of stress functions. It is applicable to both displacement and equilibrium models and leads for certain classes of problems to a substantial reduction in the number of unknowns. The choice of the stress functions as unknowns is identified with an automatic selection procedure of redundancies of minimal diffusion. Therefore this method can be interpreted as a force method in which the numerical search for the redundancies is avoided. It is shown to apply particularly well in certain non structural problems. Independently the effect of the introduction of internal degrees of freedom (bubble functions) in finite elements is evaluated. The conclusion is that a few of such modes can improve significantly the finite element properties and bring them practically in coincidence with assumed stress models.
Provenance: Bombardier/Aero
Author(s): Sander, G., Beckers, P.
Corporate Author(s): Laboratoire de Techniques Aeronautiques et Spatiales University of Liege, Belgium
Date of Publication: 1973-12
Pages: 41
DoD Task:
Identifier: This paper is part of a conference proceedings. See AD0785968
Abstract:
The paper presents a new formulation which allows the derivation of finite element properties in terms of stress functions. It is applicable to both displacement and equilibrium models and leads for certain classes of problems to a substantial reduction in the number of unknowns. The choice of the stress functions as unknowns is identified with an automatic selection procedure of redundancies of minimal diffusion. Therefore this method can be interpreted as a force method in which the numerical search for the redundancies is avoided. It is shown to apply particularly well in certain non structural problems. Independently the effect of the introduction of internal degrees of freedom (bubble functions) in finite elements is evaluated. The conclusion is that a few of such modes can improve significantly the finite element properties and bring them practically in coincidence with assumed stress models.
Provenance: Bombardier/Aero
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