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A consistent approach for mixed stress finite element formulations in linear elastodynamics

✍ Scribed by Stefano de Miranda; Luisa Molari; Francesco Ubertini

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
534 KB
Volume
197
Category
Article
ISSN
0045-7825

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✦ Synopsis

In this paper, 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.

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## Abstract A least‐squares mixed finite element method for linear elasticity, based on a stress‐displacement formulation, is investigated in terms of computational efficiency. For the stress approximation quadratic Raviart‐Thomas elements are used and these are coupled with the quadratic nonconfor