Journal ArticleDOI
Nonlinear viscoelasticity and relaxation phenomena of polymer solids
TLDR
In this paper, the free energy function of incompressible viscoelastic polymer solids is assumed to be a separable, symmetric function of the principle stretch ratios and the hidden thermodynamic coordinates along the same directions.Abstract:
In the light of a three-chain model of statistical network theories of rubberlike elastic models, it is assumed that the free energy function of incompressible viscoelastic polymer solids is a separable, symmetric function of the principle stretch ratios and the hidden thermodynamic coordinates along the same directions. This assumption leads to a characterization of those viscoelastic polymer solids which exhibit the property of factorizability between the time and strain functions.read more
Citations
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Journal ArticleDOI
Fractional viscoelasticity in fractal and non-fractal media: Theory, experimental validation, and uncertainty analysis
TL;DR: In this article, fractional and non-fractional viscoelastic models for elastomeric materials are derived and analyzed in comparison to experimental results using Bayesian uncertainty quantification.
Journal ArticleDOI
A physical interpretation of fractional viscoelasticity based on the fractal structure of media: Theory and experimental validation
TL;DR: In this paper, a physical connection between the fractional time derivative and fractal geometry of fractal media is developed and applied to viscoelasticity and thermal diffusion in elastomers.
Journal ArticleDOI
Bayesian uncertainty analysis of finite deformation viscoelasticity
TL;DR: In this article, the authors quantified both the hyperelastic and viscoelastic constitutive behavior of the dielectric elastomer VHB 4910 and used Bayesian uncertainty analysis to assess several key modeling attributes.
Proceedings ArticleDOI
Viscoelastic model of dielectric elastomer membranes
TL;DR: In this paper, a non-linear viscoelastic model for finite deformations of dielectric elastomer membranes using Christensen's theory of visco-elasticity is developed.
Journal ArticleDOI
A constitutive model for the mechanical properties of rock
K.J. Chang,T.-W. Yang +1 more
TL;DR: In this paper, a new constitutive model for the study of the mechanical properties of rock is presented, which combines a newly introduced spring-bonding-block system in parallel with Valanis-type endochronic elements, and show that it can characterize the stress relaxation phenomenon, the post-failure response, and the progressive stiffness reduction behavior of rock under uniaxial compressive loading.
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
Thermodynamics with Internal State Variables
TL;DR: In this paper, the authors study the thermodynamics of nonlinear materials with internal state variables whose temporal evolution is governed by ordinary differential equations, and employ a method developed by Coleman and Noll to find the general restrictions which the Clausius-Duhem inequality places on response functions.
Journal ArticleDOI
The Strain‐Energy Function of a Hyperelastic Material in Terms of the Extension Ratios
K. C. Valanis,R. F. Landel +1 more
TL;DR: In this article, a simple form of the strain energy function of natural rubber results if the latter is expressed as an analytic function of the extension ratios rather than the invariants, and the above form appears to be valid over a wide range of deformations (0.2≤λ≤3.5).
Journal ArticleDOI
Systems Manifesting Superposed Elastic and Viscous Behavior
A. V. Tobolsky,R. D. Andrews +1 more
TL;DR: In this article, a general molecular theory describing the behavior of matter under stress is discussed and related to previous investigations and to experimental observations, where results on relaxation and creep of rubbers are interpreted in terms of modern structural concepts.