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Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method

Peter Hansbo (Institutionen för tillämpad mekanik, Dynamik) ; Mats Larson
Computer Methods in Applied Mechanics and Engineering Vol. 191 (2002), 17-18, p. 1895-1908.
[Artikel, refereegranskad vetenskaplig]

We propose and analyze a discontinuous finite element method for nearly incompressible linear elasticity on triangular meshes. We show optimal error estimates that are uniform with respect to Poisson’s ratio. The method is thus locking free. We also introduce an equivalent mixed formulation, allowing for completely incompressible elasticity problems. Numerical results are presented.



Denna post skapades 2007-03-06.
CPL Pubid: 26546

 

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Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Dynamik

Ämnesområden

Numerisk analys
Fastkroppsmekanik

Chalmers infrastruktur