Three dimensional elements with Lagrange multipliers for the modified couple stress theory

DOI10.1007/s00466-017-1487-zzbMath1462.74157OpenAlexW2765232244WikidataQ113327334 ScholiaQ113327334MaRDI QIDQ1990840

Young-Rok Kwon, Byung Chai Lee

Publication date: 25 October 2018

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

Full work available at URL: https://doi.org/10.1007/s00466-017-1487-z

zbMATH Keywords

size effectLagrange multiplier methodpatch testcurvature termmixed elements: convergence

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Plastic materials, materials of stress-rate and internal-variable type (74C99)

Related Items (14)

Formulation and numerical implementation of a variationally consistent multi-scale model based on second-order computational homogenisation at finite strains for quasi-static problems ⋮ Generalized conforming Trefftz element for size-dependent analysis of thin microplates based on the modified couple stress theory ⋮ 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 ⋮ 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 ⋮ A novel phase‐field approach to brittle damage mechanics of gradient metamaterials combining action formalism and history variable ⋮ Vibration analysis of scale-dependent thin shallow microshells with arbitrary planform and boundary conditions ⋮ Weak-form differential quadrature finite elements for functionally graded micro-beams with strain gradient effects ⋮ On the mechanics of microshells of revolution ⋮ 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

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