A mixed element based on Lagrange multiplier method for modified couple stress theory

DOI10.1007/s00466-016-1338-3zbMath1398.74352OpenAlexW2550193038WikidataQ113327477 ScholiaQ113327477MaRDI QIDQ683677

Young-Rok Kwon, Byung Chai Lee

Publication date: 8 February 2018

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-016-1338-3

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Micromechanics of solids (74M25) Plastic materials, materials of stress-rate and internal-variable type (74C99) Elastic materials (74B99)

Related Items (15)

On a family of numerical models for couple stress based flexoelectricity for continua and beams ⋮ Penalty \(\mathrm{C}^0 8\)-node quadrilateral and 20-node hexahedral elements for consistent couple stress elasticity based on the unsymmetric finite element method ⋮ A fully second‐order homogenization formulation for the multi‐scale modeling of heterogeneous materials ⋮ 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 ⋮ Variational formulation and differential quadrature finite element for freely vibrating strain gradient Kirchhoff plates ⋮ Nonlinear free vibration analysis of a rotating two-dimensional functionally graded porous micro-beam using isogeometric analysis ⋮ Weak-form differential quadrature finite elements for functionally graded micro-beams with strain gradient effects ⋮ Application of a non-conforming tetrahedral element in the context of the three-dimensional strain gradient elasticity ⋮ Three dimensional elements with Lagrange multipliers for the modified couple stress theory ⋮ Nonlinear finite element analysis within strain gradient elasticity: Reissner-Mindlin plate theory versus three-dimensional theory ⋮ Strain gradient differential quadrature Kirchhoff plate finite element with the \(C^2\) partial compatibility ⋮ A four-node \(C^0\) tetrahedral element based on the node-based smoothing technique for the modified couple stress theory ⋮ Size-dependent vibration and stability of moderately thick functionally graded micro-plates using a differential quadrature-based geometric mapping scheme ⋮ Static analysis of planar arbitrarily curved microbeams with the modified couple stress theory and Euler-Bernoulli beam model

Uses Software

• FEAPpv

Cites Work

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