On a three-dimensional axisymmetric boundary-value problem of nonlinear elastic deformation: asymptotic solution and exponentially small error

DOI10.1016/j.ijengsci.2007.08.003zbMath1213.74050OpenAlexW1970461951MaRDI QIDQ538826

Publication date: 26 May 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2007.08.003

zbMATH Keywords

analytical solution asymptotic analysis finite elasticity nonlinear boundary-value problem st. Venant's problem

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10)

Related Items (1)

Combined effects of axial load and temperature on finite deformation of incompressible thermo-hyperelastic cylinder

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Normal hyperbolicity of center manifolds and Saint-Venant's principle
Saint-Venant's problem and semi-inverse solutions in nonlinear elasticity
Exact solutions for the large axially symmetric deformations of a neo-hookean rod subjected to static loads
An Asymptotic Finite Deformation Analysis for an Isotropic Incompressible Hyperelastic Half-Space Subjected to a Tensile Point Load
A Two-Point Boundary-Value Problem for the Axial Shear of Hardening Isotropic Incompressible Nonlinearly Elastic Materials
An Asymptotic Finite Deformation Analysis for an Isotropic Compressible Hyperelastic Half-Space Subjected to a Tensile Point Load
Phase transitions in a slender cylinder composed of an incompressible elastic material. I. Asymptotic model equation
Recent Developments Concerning Saint-Venant's Principle
Asmptoticaliy Approximate Model Equations for Weakly Nonlinear Long Waves in Compressible Elastic Rods and their Comparisons with Other Simplified Model Equations
Transformations and Equation Reductions in Finite Elasticity I: Plane Strain Deformations
New families of exact solutions for finitely deformed incompressible elastic materials
On axially symmetric deformations of perfectly elastic compressible materials
Solitary shock waves and other travelling waves in a general compressible hyperelastic rod
Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber
Nonlinear problems of elasticity

This page was built for publication: On a three-dimensional axisymmetric boundary-value problem of nonlinear elastic deformation: asymptotic solution and exponentially small error