Journal ArticleDOI
Large Deformation Isotropic Elasticity—On the Correlation of Theory and Experiment for Incompressible Rubberlike Solids
TLDR
In this article, the correlation of theory and experiment for incompressible isotropic elastic solids under finite strain was extended to incorporate the effects of compressibility (under isothermal conditions) with the result that experimental data on the compressibility of rubberlike materials are adequately accounted for.Abstract:
A method of approach to the correlation of theory and experiment for incompressible isotropic elastic solids under finite strain was developed in a previous paper (Ogden 1972) Here, the results of that work are extended to incorporate the effects of compressibility (under isothermal conditions) The strain-energy function constructed for incompressible materials is augmented by a function of the density ratio with the result that experimental data on the compressibility of rubberlike materials are adequately accounted for At the same time the good fit of the strain-energy function arising in the incompressibility theory to the data in simple tension, pure shear and equibiaxial tension is maintained in the compressible theory without any change in the values of the material constants A full discussion of inequalities which may reasonably be imposed upon the material parameters occurring in the compressible theory is includedread more
Citations
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BookDOI
Non-Linear Finite Element Analysis of Solids and Structures: de Borst/Non-Linear Finite Element Analysis of Solids and Structures
TL;DR: De Borst et al. as mentioned in this paper present a condensed version of the original book with a focus on non-linear finite element technology, including nonlinear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity.
Journal ArticleDOI
Structural Biological Materials: Critical Mechanics-Materials Connections
TL;DR: Structural bio-inspired materials design makes use of the biological structures by inserting synthetic materials and processes that augment the structures' capability while retaining their essential features.
Journal ArticleDOI
Discontinuous Equilibrium Solutions and Cavitation in Nonlinear Elasticity
TL;DR: In this article, the existence of singular solutions to the nonlinear elastostatics problem with respect to radial motion has been studied for a class of strongly elliptic materials by means of the direct method of the calculus of variations, and it has been shown that the only radial equilibrium solutions without cavities are homogeneous.
Journal ArticleDOI
A theory of finite viscoelasticity and numerical aspects
Stefanie Reese,Sanjay Govindjee +1 more
TL;DR: In this article, a nonlinear evolution law for finite deformation viscoelasticity was proposed, which is not restricted to states close to the thermodynamic equilibrium, and upon appropriate linearization, it can recover several established models of finite linear viscoels and linear velocities.
References
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Book
The physics of rubber elasticity
TL;DR: In this paper, the Elasticity of Long-Chain Molecules (LCHs) and Elasticity in a Molecular Network (MNNs) is investigated. But the authors focus on the elasticity of the long chain Molecules.
Journal ArticleDOI
A Theory of Large Elastic Deformation
TL;DR: In this paper, it was deduced that the general strain energy function, W, has the form W=G4 ∑ i=13(λi−1λi)2+H 4 ∑ t=13 (λi2−1 ε)2 + H 4, where the λi's are the principal stretches, G is the modulus of rigidity, and H is a new elastic constant not found in previous theories.
Journal ArticleDOI
Application of Finite Elastic Theory to the Deformation of Rubbery Materials
Paul J. Blatz,William L. Ko +1 more
TL;DR: In this paper, the authors show how the nature of strain energy function can be deduced from experiments on rubbery materials and show how to use this information to infer the strain energy functions of different types of materials.