Nonlinear computation of axisymmetric solid rubber deformation
type: Item
instance of: scholarly article
title: Nonlinear computation of axisymmetric solid rubber deformation
zbMATH Open document ID: 0634.73028
DOI: 10.1016/0045-7825(88)90128-4
author: Isaac Fried
author: Arthur R. Johnson
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1988-01-01T00:00:00Z
review text: The paper is of a technical nature and is devoted essentially to the detailed derivation of the element gradient vector and stiffness matrix for the nonlinear finite element analysis of axisymmetric rubber. The technique, which is based on the discrete sampling of the total potential energy of the deformed solid, is a natural extension of the one employed in the nonlinear analysis of rubber membranes [the first author, Int. J. Numer. Methods Eng. 18, 653-660 (1982; Zbl 0482.73064)]. However, in contrast with the thin membrane case exact incompressibility is avoided here and an extra energy term is added for the change of volume work.
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 4033215
zbMATH Keywords: quadratic triangular element
zbMATH Keywords: element gradient vector
zbMATH Keywords: stiffness matrix
zbMATH Keywords: nonlinear finite element analysis
zbMATH Keywords: axisymmetric rubber
zbMATH Keywords: discrete sampling
zbMATH Keywords: total potential energy
MaRDI profile type: Publication
full work available at URL: 0045-7825(88)90128-4
OpenAlex ID: W2024634127
cites work: Volume changes associated with the deformation of rubber-like solids
cites work: Q5645108
cites work: A finite element method for the analysis of rubber parts, experimental and analytical assessment
cites work: Orthogonal trajectory accession to the nonlinear equilibrium curve
cites work: Reflections on the computational approximation of elastic incompressibility
cites work: Finite element computation of large rubber membrane deformations
cites work: Q4728358
description: scientific article; zbMATH DE number 4033215