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Modified torsion coefficients for a 3-D brick Cosserat point element. (English) Zbl 1162.74467

Summary: A simple deformation field associated with an exact torsion-like solution of the equilibrium equations of linear elasticity is shown to provide a good approximation of the deformation field in interior elements of a mesh that models pure torsion of a right cylindrical bar with rectangular cross-section. Using this solution, modified torsion coefficients are proposed for a 3-D brick Cosserat point element (CPE) which are shown to improve convergence properties for solutions of pure torsion.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74B05 Classical linear elasticity

Software:

FEAP

References:

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