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Arnold, Douglas N.; Falk, Richard S.

A new mixed formulation for elasticity. (English) Zbl 0621.73102

Numer. Math. 53, No. 1-2, 13-30 (1988).
We propose a new mixed variational formulation for the equations of linear elasticity. The formulation is very similar to the classical Hellinger-Reissner formulation but does not require symmetric tensors and consequently is easy to discretize by adapting mixed finite elements developed for scalar second order elliptic equations.

Cited in 3 Reviews
Cited in 45 Documents

MSC:

74S05 Finite element methods applied to problems in solid mechanics
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74B99 Elastic materials
74H99 Dynamical problems in solid mechanics

Keywords:

mixed variational formulation; equations of linear elasticity; classical Hellinger-Reissner formulation; scalar second order elliptic equations
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Full Text: DOI EuDML

References:

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