Penalty hexahedral element formulation for flexoelectric solids based on consistent couple stress theory
DOI10.1002/nme.7366OpenAlexW4387603360MaRDI QIDQ6148505
Unnamed Author, Yan Shang, Chen-Feng Li, Song Cen
Publication date: 7 February 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.7366
size effectmicro-inertiaisoparametric interpolationdisplacement test functionnodal rotation degree of freedomnormalized stress functionpenalty unsymmetric finite element method
Finite element methods applied to problems in solid mechanics (74S05) Electromagnetic effects in solid mechanics (74F15)
Cites Work
- A theory of flexoelectricity with surface effect for elastic dielectrics
- Flexoelectric properties of ferroelectrics and the nanoindentation size-effect
- A piezoelectric constitutive theory with rotation gradient effects
- On the possibility of piezoelectric nanocomposites without using piezoelectric materials
- The Babuška-Brezzi condition and the patch test: An example
- High-frequency Rayleigh waves in materials with micro-structure and couple-stress effects.
- Size-dependent piezoelectricity: a 2D finite element formulation for electric field-mean curvature coupling in dielectrics
- Dynamic flexoelectric effect on piezoelectric nanostructures
- A large deformation isogeometric approach for flexoelectricity and soft materials
- Asymptotically consistent size-dependent plate models based on the couple-stress theory with micro-inertia
- A staggered explicit-implicit isogeometric formulation for large deformation flexoelectricity
- Static analysis of flexoelectric nanobeams incorporating surface effects using element free Galerkin method
- On a family of numerical models for couple stress based flexoelectricity for continua and beams
- Dynamic analysis of flexoelectric systems in the frequency domain with isogeometric analysis
- The patch test—a condition for assessing FEM convergence
- A fractal patch test
- A novel unsymmetric 8-node plane element immune to mesh distortion under a quadratic displacement field
- Mixed finite-element formulations in piezoelectricity and flexoelectricity
- A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects: part I – reconsideration of curvature-based flexoelectricity 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
- Extension of the unsymmetric 8‐node hexahedral solid element <scp>US‐ATFH8</scp> to <scp>3D</scp> hyper‐elastic finite deformation analysis
- Mixed finite elements based on superconvergent patch recovery for strain gradient theory
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