Homogenization of a second order plate model
From MaRDI portal
Publication:5237886
DOI10.1177/1081286517719939zbMath1425.74402OpenAlexW2736686749MaRDI QIDQ5237886
Publication date: 25 October 2019
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1081286517719939
linear elasticityasymptotic analysiscompositeperiodic homogenizationplate theoryrigorous convergence result
Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Plates (74K20) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)
Related Items
The pull-in instability and eigenfrequency variations of a graphene resonator under electrostatic loading ⋮ On the Homogenization of Nonlinear Shell ⋮ Some specific aspects of linear homogenization shell theory ⋮ Dual-mixed \(hp\)-version axisymmetric shell finite element using NURBS mid-surface interpolation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two-dimensional models for the combined bending and stretching of plates and shells based on three-dimensional linear elasticity
- Thin-plate theory for large elastic deformations
- Non-homogeneous media and vibration theory
- Effective models of composite periodic plates. I: Asymptotic solution
- Effective models of composite periodic plates. III: Two-dimensional approaches
- Extension of Koiter's linear shell theory to materials exhibiting arbitrary symmetry
- On consistent plate theories
- A Reissner-type plate theory for monoclinic material derived by extending the uniform-approximation technique by orthogonal tensor decompositions of \( n\)th-order gradients
- A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
- Two-dimensional model for the combined bending, stretching and transverse shearing of laminated plates derived from three-dimensional elasticity
- Operator error estimates for homogenization of fourth order elliptic equations
- Thin elastic and periodic plates
- A fifth-order model for shells which combines bending, stretching and transverse shearing deduced from three-dimensional elasticity
- Modeling of consistent second‐order plate theories for anisotropic materials
