Asymptotic justification of equations for von Kármán membrane shells
DOI10.1134/s0001434623090237zbMath1530.74050OpenAlexW4387902279MaRDI QIDQ6063053
No author found.
Publication date: 7 November 2023
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434623090237
nonlinear elasticityformal asymptotic expansionsmall shell thicknessSaint-Venant-Kirchhoff materialthree-dimensional variational problemvon Kármán boundary condition
Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence result for a dynamical equations of generalized Marguerre-von Kármán shallow shells
- The von Kármán theory for incompressible elastic shells
- The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells
- From the classical to the generalized von Kármán and Marguerre--von Kármán equations
- Derivation of a homogenized von-Kármán shell theory from 3D elasticity
- A justification of the Marguerre-von Kármán equations
- A justification of the von Kármán equations
- Convexity conditions and existence theorems in nonlinear elasticity
- Nonlinearly elastic shell models: A formal asymptotic approach. I: The membrane model
- Nonlinearly elastic shell models: A formal asymptotic approach. II: The flexural model
- Nonlinear theory of shallow shells. English Ed. ed. by L. P. Lebedev. Transl. from the Russian by Michael Grinfeld
- An existence theorem for nonlinearly elastic `flexural' shells
- Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence.
- Existence theorem for a nonlinear elliptic shell model
- The membrane shell model in nonlinear elasticity: A variational asymptotic derivation
- On the study of variational inequality of generalized Marguerre-von Kármán's type via Leray-Schauder degree
- Growth and non-metricity in Föppl-von Kármán shells
- Nonlinear shell models of Kirchhoff-Love type: existence theorem and comparison with Koiter's model
- The time-dependent von Kármán shell equation as a limit of three-dimensional nonlinear elasticity
- Asymptotic modeling of Signorini problem with Coulomb friction for a linearly elastostatic shallow shell
- Some Open Problems in Elasticity
- Non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material
- Remarks on Nonlinear Membrane Shell Problems
- Shell theories arising as low energy Gamma-limit of 3d nonlinear elasticity
- Asymptotic Analysis of Frictional Contact Problem for Piezoelectric Shallow Shell
- Asymptotic justification of dynamical equations for generalized Marguerre–von Kármán anisotropic shallow shells
- Justification and solvability of dynamical contact problems for generalized Marguerre–von Kármán shallow shells
This page was built for publication: Asymptotic justification of equations for von Kármán membrane shells