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A consistent approach for mixed stress finite element formulations in linear elastodynamics. (English) Zbl 1159.74441

Summary: A mixed stress formulation for linear elastodynamic analysis based on a modified Hellinger-Reissner functional and a consistent approach for selecting finite element approximations are presented. The key idea in this new approach is to choose stress approximations by taking into account for suitable modes to equilibrate inertia forces. Feasibility and effectiveness of the proposed approach are numerically verified through three benchmark tests.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74H15 Numerical approximation of solutions of dynamical problems in solid mechanics
74B05 Classical linear elasticity
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