A numerical study of the effect of penalty parameters for membrane elements with independent rotation fields and penalized equilibrium

Authors:
Craig S. Long;Sannelie Geyer;Albert A. Groenwold
Affiliations:
Department of Mechanical Engineering, University of Pretoria, Pretoria, South Africa;Department of Mechanical Engineering, University of Pretoria, Pretoria, South Africa;Department of Mechanical Engineering, University of Stellenbosch, Matieland, Stellenbosch, South Africa and Department of Mechanical Engineering, University of Pretoria, Pretoria, South Africa
Venue:
Finite Elements in Analysis and Design
Year:
2006

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Abstract

We offer a numerical investigation into the effect of penalty parameters in elements with drilling degrees of freedom and penalized equilibrium, for which the stress tensor σ is not a priori assumed to be symmetric. The parameters under investigation are γ, which relates the in-plane translations to the rotations, and α, which results due to enforcement of stress equilibrium in assumed stress implementations of elements with drill rotations.Rather than simply reporting on the quantitative influence of the penalty parameter γ on measures like displacement, rotation and stress, we directly assess the skewness of the nonsymmetric stress tensor σ. Results are presented for both isotropic and orthotropic constitutive relationships.