A penalty finite element approach for couple stress elasticity
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Publication:364119
DOI10.1007/s00466-013-0842-yzbMath1282.74088OpenAlexW2010660306MaRDI QIDQ364119
Publication date: 5 September 2013
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-013-0842-y
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05)
Related Items (11)
An investigation into size-dependent vibration damping characteristics of functionally graded viscoelastically damped sandwich microbeams ⋮ Axisymmetric couple stress elasticity and its finite element formulation with penalty terms ⋮ Penalty \(\mathrm{C}^0 8\)-node quadrilateral and 20-node hexahedral elements for consistent couple stress elasticity based on the unsymmetric finite element method ⋮ An efficient 4‐node facet shell element for the modified couple stress elasticity ⋮ Flapwise vibration analysis of rotating composite laminated Timoshenko microbeams with geometric imperfection based on a re-modified couple stress theory and isogeometric analysis ⋮ Size-dependent analysis of porous multi-directional FG shell structures based on the modified couple stress theory using the unsymmetric finite element method ⋮ Nonlinear free vibration analysis of a rotating two-dimensional functionally graded porous micro-beam using isogeometric analysis ⋮ Three dimensional elements with Lagrange multipliers for the modified couple stress theory ⋮ A mixed element based on Lagrange multiplier method for modified couple stress theory ⋮ A four-node \(C^0\) tetrahedral element based on the node-based smoothing technique for the modified couple stress theory ⋮ Static analysis of planar arbitrarily curved microbeams with the modified couple stress theory and Euler-Bernoulli beam model
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