A note on elastic energy density functions for largely deformed compressible rubber solid
type: Item
instance of: scholarly article
title: A note on elastic energy density functions for largely deformed compressible rubber solid
zbMATH Open document ID: 0653.73028
DOI: 10.1016/0045-7825(88)90166-1
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: This interesting and well written paper deals with the compressibility of rubberlike materials. Experiments show that rubber is nearly incompressible. The analytic treatment of deformation and corresponding stresses is tremendously simplified by neglecting the compressibility completely. But even with this idealization, only a limited number of problems can be solved analytically. Therefore, numerical solutions are indispensable. For numerical procedures, however, incompressibility is detrimental since the stored energy function lacks positive-definiteness. For the purpose of numerical calculation, the authors generalize the most familiar strain energy functions to allow for compressibility and propose smallest tolerable bulk moduli.
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74D99
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 4066469
zbMATH Keywords: compressibility
zbMATH Keywords: smallest tolerable bulk moduli
reviewed by: U. Gamer
MaRDI profile type: Publication
full work available at URL: 0045-7825(88)90166-1
OpenAlex ID: W2065173501
cites work: Reflections on the computational approximation of elastic incompressibility
cites work: Influence of Poisson's ratio on the condition of the finite element stiffness matrix
cites work: Finite element analysis of incompressible material by residual energy balancing
cites work: An introduction to continuum mechanics
cites work: Q5737099
cites work: Q5579680
cites work: Q5552583
cites work: On the deformation of solid and tubular cylinders of incompressible isotropic elastic material
cites work: Volume changes associated with the deformation of rubber-like solids
cites work: Nearly isochoric elastic deformations: Application to rubberlike solids
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description: scientific article; zbMATH DE number 4066469