A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: Clamped rectangular incompressible elastic plates
From MaRDI portal
Publication:5041625
DOI10.1177/10812865211025583OpenAlexW3182375125WikidataQ118359244 ScholiaQ118359244MaRDI QIDQ5041625
Hui-Hui Dai, Ivan Giorgio, Fan-Fan Wang
Publication date: 14 October 2022
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/10812865211025583
weak formulationlarge deformationsfinite-element methodnumerical analysisuniformly valid plate theory
Related Items
The pull-in instability and eigenfrequency variations of a graphene resonator under electrostatic loading ⋮ Generalized Reissner-type variational principles in the micropolar theories of multilayer thin bodies with one small size ⋮ On some variational principles in micropolar theories of single-layer thin bodies ⋮ Bending/tension of plate reinforced by a system of parallel fiber
Cites Work
- Unnamed Item
- On a consistent dynamic finite-strain plate theory and its linearization
- Absolute nodal coordinate formulation of large-deformation piezoelectric laminated plates
- Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models
- Thin-plate theory for large elastic deformations
- Piezo-electromechanical (PEM) Kirchhoff-Love plates
- Spatial resolution of wrinkle patterns in thin elastic sheets at finite strain
- A classification of thin plate models by asymptotic expansion of non-linear three-dimensional equilibrium equations
- On the asymptotic membrane theory of thin hyperelastic plates
- A revival of electric analogs for vibrating mechanical systems aimed to their efficient control by PZT actuators
- Koiter's shell theory from the perspective of three-dimensional nonlinear elasticity
- Large deformation analysis of moderately thick viscoelastic plates
- Control of sound radiation and transmission by a piezoelectric plate with an optimized resistive electrode
- Equilibrium paths of Hencky pantographic beams in a three-point bending problem
- Asymptotic finite-strain thin-plate theory for elastic solids
- Variational principles are a powerful tool also for formulating field theories
- Harmonic vibrations of nanosized piezoelectric bodies with surface effects
- Pitchfork and octopus bifurcations in a hyperelastic tube subjected to compression: Analytical post-bifurcation solutions and imperfection sensitivity
- Mechanics of materially uniform thin films
- ANALYTICAL SOLUTIONS FOR THE POST-BUCKLING STATES OF AN INCOMPRESSIBLE HYPERELASTIC LAYER
- On a consistent finite-strain shell theory for incompressible hyperelastic materials
- Phase transitions in a slender cylinder composed of an incompressible elastic material. I. Asymptotic model equation
- A generalization of two-dimensional theories of laminated composite plates
- Modal analysis of laminates by a mixed assumed-strain finite element model
- A well-posed finite-strain model for thin elastic sheets with bending stiffness
- A refined dynamic finite-strain shell theory for incompressible hyperelastic materials: equations and two-dimensional shell virtual work principle
- Classical plate buckling theory as the small‐thickness limit of three‐dimensional incremental elasticity