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  1. Continuum Mechanics and Thermodynamics
  2. Continuum Mechanics and Thermodynamics : Volume 24
  3. Continuum Mechanics and Thermodynamics : Volume 24, Issue 4-6, November 2012
  4. A note on the Mooney–Rivlin material model
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Continuum Mechanics and Thermodynamics : Volume 29
Continuum Mechanics and Thermodynamics : Volume 28
Continuum Mechanics and Thermodynamics : Volume 27
Continuum Mechanics and Thermodynamics : Volume 26
Continuum Mechanics and Thermodynamics : Volume 25
Continuum Mechanics and Thermodynamics : Volume 24
Continuum Mechanics and Thermodynamics : Volume 24, Issue 4-6, November 2012
Trends in thermodynamics and materials theory
Extended thermodynamics of dense gases
The Cattaneo type space-time fractional heat conduction equation
An extended thermodynamics description of stationary heat transfer in binary gas mixtures confined in radial symmetric bounded domains
Is the heat flux density really non-objective? A glance back, 40 years later
Quantum size effects on classical thermosize effects
Thermal transport in spin ice
Resonance in rarefied gases
Numerical modeling of functionally graded materials using a variational formulation
A model for brittle fracture based on the hybrid phase field model
Acoustics of two-component porous materials with anisotropic tortuosity
Numerical simulation of a double-gate MOSFET with a subband model for semiconductors based on the maximum entropy principle
Distributed optimal control of a nonstandard system of phase field equations
Bubbles in liquids with phase transition : Part 1. On phase change of a single vapor bubble in liquid water
Numerical and experimental analysis of inhomogeneities in SMA wires induced by thermal boundary conditions
On the Müller paradox for thermal-incompressible media
Nonaxisymmetric vibrations of radially polarized hollow cylinders made of functionally gradient piezoelectric materials
Two-layer debris mixture flows on arbitrary terrain with mass exchange at the base and the interface
On oblique impact of a rigid rod against a Winkler foundation
A note on the Mooney–Rivlin material model
Emergence of rate-independent dissipation from viscous systems with wiggly energies
Activation energies for nucleation and growth and critical cluster size dependence in JMAK analyses of kinetic Monte-Carlo simulations of precipitation
Ginzburg–Landau modelling of precursor nanoscale textures in ferroelastic materials
Global nonlinear stability for a triply diffusive convection in a porous layer
Parallel transport and defects on nematic shells
Pearlite revisited
Rate dependence of temperature fields and energy dissipations in non-static pseudoelasticity
Constitutive equations of a tensorial model for ductile damage of metals
Analysis of eigenmodes in a relativistic gas
Introduction to macro-econophysics and finance
Continuum Mechanics and Thermodynamics : Volume 24, Issue 3, May 2012
Continuum Mechanics and Thermodynamics : Volume 24, Issue 2, March 2012
Continuum Mechanics and Thermodynamics : Volume 24, Issue 1, January 2012
Continuum Mechanics and Thermodynamics : Volume 23
Continuum Mechanics and Thermodynamics : Volume 22
Continuum Mechanics and Thermodynamics : Volume 21
Continuum Mechanics and Thermodynamics : Volume 20
Continuum Mechanics and Thermodynamics : Volume 19
Continuum Mechanics and Thermodynamics : Volume 18
Continuum Mechanics and Thermodynamics : Volume 17
Continuum Mechanics and Thermodynamics : Volume 16
Continuum Mechanics and Thermodynamics : Volume 15
Continuum Mechanics and Thermodynamics : Volume 14
Continuum Mechanics and Thermodynamics : Volume 13
Continuum Mechanics and Thermodynamics : Volume 12
Continuum Mechanics and Thermodynamics : Volume 11
Continuum Mechanics and Thermodynamics : Volume 10
Continuum Mechanics and Thermodynamics : Volume 9

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A note on the Mooney–Rivlin material model

Content Provider Springer Nature Link
Author Liu, I Shih
Copyright Year 2011
Abstract In finite elasticity, the Mooney–Rivlin material model for the Cauchy stress tensor T in terms of the left Cauchy–Green strain tensor B is given by $$T = -pI + s_1 B + s_2 B^{-1},$$ where p is the pressure and s 1, s 2 are two material constants. It is usually assumed that s 1 > 0 and s 2 ≤ 0, known as E-inequalities, based on the assumption that the free energy function be positive definite for any deformation. In this note, we shall relax this assumption and with a thermodynamic stability analysis, prove that s 2 need not be negative so that some typical behavior of materials under contraction can also be modeled.
Starting Page 583
Ending Page 590
Page Count 8
File Format PDF
ISSN 09351175
Journal Continuum Mechanics and Thermodynamics
Volume Number 24
Issue Number 4-6
e-ISSN 14320959
Language English
Publisher Springer-Verlag
Publisher Date 2011-10-11
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Mooney–Rivlin material E-inequalities Uniaxial extension Stability analysis Stress–strain curve Theoretical and Applied Mechanics Structural Materials Classical Continuum Physics Engineering Thermodynamics, Heat and Mass Transfer
Content Type Text
Resource Type Article
Subject Physics and Astronomy Mechanics of Materials Materials Science
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