Two- and three-dimensional size-dependent couple stress response using a displacement-based variational method
From MaRDI portal
Publication:2035249
DOI10.1016/j.euromechsol.2021.104268zbMath1485.74093OpenAlexW3139343058MaRDI QIDQ2035249
Gary F. Dargush, Ali R. Hadjesfandiari, Georgios Apostolakis
Publication date: 24 June 2021
Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.euromechsol.2021.104268
micromechanicstensor product B-splineconsistent couple stress theorycontinuous displacement fieldskew-symmetric mean curvature tensor
Numerical computation using splines (65D07) Energy minimization in equilibrium problems in solid mechanics (74G65) Isogeometric methods applied to problems in solid mechanics (74S22)
Related Items
Mixed convolved Lagrange multiplier variational formulation for size-dependent elastodynamic couple stress response ⋮ Buckling analysis and dynamic response of FGM sandwich cylindrical panels in thermal environments using nonlocal strain gradient 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 ⋮ Size-dependent analysis of porous multi-directional FG shell structures based on the modified couple stress theory using the unsymmetric finite element method ⋮ Non-conforming Trefftz finite element implementation of orthotropic Kirchhoff plate model based on consistent couple stress theory ⋮ Size-dependent couple stress natural frequency analysis via a displacement-based variational method for two- and three-dimensional problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- One-dimensional nonlocal and gradient elasticity: assessment of high order approximation schemes
- Isogeometric analysis of 2D gradient elasticity
- Efficient quadrature for NURBS-based isogeometric analysis
- Mixed Lagrangian formulation for size-dependent couple stress elastodynamic response
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Studies of refinement and continuity in isogeometric structural analysis
- Elastic materials with couple-stresses
- On completeness of RFM solution structures
- Multigrid methods with web-splines
- A new view on boundary conditions in the grioli-Koiter-Mindlin-toupin indeterminate couple stress model
- Three-dimensional isogeometric solutions to general boundary value problems of Toupin's gradient elasticity theory at finite strains
- Couple stress based strain gradient theory for elasticity
- Finite element Lagrange multiplier formulation for size-dependent skew-symmetric couple-stress planar elasticity
- Nonlinear theory of simple micro-elastic solids. I
- Effects of couple-stresses in linear elasticity
- Micro-structure in linear elasticity
- Weighted Extended B-Spline Approximation of Dirichlet Problems
- Boundary element formulation for plane problems in couple stress elasticity
- Mechanically based models: Adaptive refinement for B-spline finite element
- Finite Element Methods with B-Splines
- Essential boundary conditions and multi-point constraints in finite element analysis
