Alternative derivation of the higher-order constitutive model for six-parameter elastic shells
From MaRDI portal
Publication:2026469
DOI10.1007/s00033-021-01475-0zbMath1464.74105OpenAlexW3132495830MaRDI QIDQ2026469
Publication date: 19 May 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-021-01475-0
Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25)
Related Items (3)
On solvability of initial boundary-value problems of micropolar elastic shells with rigid inclusions ⋮ A linear isotropic Cosserat shell model including terms up to \(O(h^5)\). Existence and uniqueness ⋮ A geometrically nonlinear Cosserat shell model for orientable and non-orientable surfaces: discretization with geometric finite elements
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical treatment of a geometrically nonlinear planar Cosserat shell model
- Thermomechanics of shells undergoing phase transition
- Advanced methods of continuum mechanics for materials and structures
- Two-dimensional models for the combined bending and stretching of plates and shells based on three-dimensional linear elasticity
- On natural strain measures of the non linear micropolar continuum
- On shear correction factors in the nonlinear theory of elastic shells
- Existence theorem for geometrically nonlinear Cosserat micropolar model under uniform convexity requirements
- Local symmetry group in the general theory of elastic shells
- An alternative determination of transverse shear stiffness for sandwich and laminated plates
- Shells without drilling rotations: a representation theorem in the framework of the geometrically nonlinear 6-parameter resultant shell theory
- Refined resultant thermomechanics of shells
- Extension of Koiter's linear shell theory to materials exhibiting arbitrary symmetry
- The nonlinear theory of elastic shells with phase transitions
- Koiter's shell theory from the perspective of three-dimensional nonlinear elasticity
- The isotropic Cosserat shell model including terms up to \(O(h^5)\). I: Derivation in matrix notation
- The isotropic Cosserat shell model including terms up to \(O(h^5)\). II: Existence of minimizers
- On generalized Cosserat-type theories of plates and shells: a short review and bibliography
- A geometrically exact Cosserat shell-model including size effects, avoiding degeneracy in the thin shell limit. I: Formal dimensional reduction for elastic plates and existence of minimizers for positive Cosserat couple modulus
- Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations
- THE REISSNER–MINDLIN PLATE IS THE Γ-LIMIT OF COSSERAT ELASTICITY
- Existence of minimizers for a finite-strain micromorphic elastic solid
- A mathematical study of the linear theory for orthotropic elastic simple shells
- Shear correction factors for plates and shells
- The Nonlinear Theory of Elastic Shells
- Analysis of the Deformation of Cosserat Elastic Shells Using the Dislocation Density Tensor
- Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature
- Derivation of a refined six-parameter shell model: descent from the three-dimensional Cosserat elasticity using a method of classical shell theory
- A GEOMETRICALLY EXACT PLANAR COSSERAT SHELL-MODEL WITH MICROSTRUCTURE: EXISTENCE OF MINIMIZERS FOR ZERO COSSERAT COUPLE MODULUS
This page was built for publication: Alternative derivation of the higher-order constitutive model for six-parameter elastic shells