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

DOI10.1016/j.cma.2007.11.007zbMath1159.74441OpenAlexW2099751125MaRDI QIDQ1013912

Luisa Molari, Stefano de Miranda, Francesco Ubertini

Publication date: 23 April 2009

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2007.11.007

zbMATH Keywords

elastodynamicsconsistent approximationshybrid finite elementsmixed stress approach

Mathematics Subject Classification ID

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

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Cites Work

• Assumed stress formulation of high order quadrilateral elements with an improved in-plane bending behaviour
• An efficient integration procedure for linear dynamics based on a time discontinuous Galerkin formulation
• Time-continuous Galerkin methods for linear heat conduction problems
• Extension to linear dynamics for hybrid stress finite element formulation based on additional displacements
• Derivation of geometric stiffness and mass matrices for finite element hybrid models
• A variational principle for the dynamic analysis of continua by hybrid finite element method
• Formulation and analysis of variational methods for time integration of linear elastodynamics
• Rational approach for assumed stress finite elements
• A rational approach for choosing stress terms for hybrid finite element formulations
• Hybrid-stress models for elastic-plastic analysis by the initial-stress approach
• ASYMPTOTIC SOLUTIONS FOR PREDICTED NATURAL FREQUENCIES OF TWO-DIMENSIONAL ELASTIC SOLID VIBRATION PROBLEMS IN FINITE ELEMENT ANALYSIS
• Improved assumed‐stress hybrid shell element with drilling degrees of freedom for linear stress, buckling and free vibration analyses
• New strategy for assumed stresses for 4‐node hybrid stress membrane element

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