On a finite disk method for hyperelastic rods and shells

DOI10.1007/BF00376026zbMath0709.73072OpenAlexW2006313230MaRDI QIDQ922044

Elsie Sterbin Gottlieb

Publication date: 1990

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00376026

zbMATH Keywords

convergenceGalerkin formsresultsweak forms of field equations

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Membranes (74K15)

Cites Work

• Unnamed Item
• A mathematical analysis of the simplest direct models for rods and shells
• On the numerical solution of nonlinear string problems using the theory of a Cosserat point
• Error estimates of finite element approximations for problems in linear elasticity. I: Problems in elastostatics
• On the Numerical Solution of One-Dimensional Continuum Problems Using the Theory of a Cosserat Point
• Free Vibration of a Rectangular Parallelepiped Using the Theory of a Cosserat Point
• On the theory of rods. I. Derivations from the three-dimensional equations
• Nonlinear Theory of Elastic Surfaces