Studied in Rubber Elasticity. 1. An Alternative to the Mooney Equation

The mechanical properties of a rubber may conveniently be represented in terms of the strain energy W , which in Rivlin’s notation is expressed as a function of the strain invariants I 1 and I 2 . The experiments of Rivlin & Saunders indicated that ∂ W /∂ I 1 was approximately constant while ∂ W /∂ I 2 varied with I 2 , in contrast to the Mooney equation, according to which both ∂ W /∂ I 1 and ∂ W /∂ I 2 are constant. More recently it has been proposed by Valanis & Landel that W may be expressible in terms of separate functions w ( λ i ) of the principal extension ratios λ i This hypo thesis appears to be borne out experimentally, and gives promise of a more accurate analysis of experimental measurements. Application to recent data enables w ( λ i ) to be expressed as an explicit algebraic function, from which it appears that the earlier conclusions of Rivlin & Saunders require some modification in detail.

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Rubber Elasticity in the Range of Small Uniaxial Tensions and Compressions. Results for Poly(Dimethylsiloxane)

Rubber Chemistry and Technology ◽

10.5254/1.3535196 ◽

1979 ◽

Vol 52 (1) ◽

pp. 127-133 ◽

Cited By ~ 2

Author(s):

B. Erman ◽

P. J. Flory

Keyword(s):

Free Energy ◽

Uniaxial Tension ◽

Rubber Elasticity ◽

Extension Ratio ◽

Tension And Compression ◽

Straight Lines ◽

Chain Entanglements ◽

Mooney Equation

Abstract Results of uniaxial tension and compression experiments are reported on crosslinked poly(dimethylsiloxane) networks in the unswollen state over the range 0.5<α−1<1.2 , where α is the extension ratio. Curves representing the reduced force [ƒ]=ƒ(V0/V)1/3(α−α−2)−1 plotted against α−1 can be approximated by straight lines for 0.5<α−1<0.9, in agreement with the phenomenological Mooney equation. As α−1 approaches 1, however, they tend to level off and continue into the α−1>1 region with decreasing slope. These results are in agreement with the predictions of recent elasticity theories that incorporate the effect of junction-chain entanglements in the elastic free energy.

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On the Mechanical Behavior of the Orthotropic Cord-Rubber Composite

Tire Science and Technology ◽

10.2346/1.2167223 ◽

1976 ◽

Vol 4 (4) ◽

pp. 219-232 ◽

Cited By ~ 2

Author(s):

Ö. Pósfalvi

Keyword(s):

Mechanical Behavior ◽

Uniaxial Tension ◽

Elastic Properties ◽

Large Deformations ◽

Virtual Work ◽

Poisson's Ratio ◽

Principle Of Virtual Work ◽

Effective Elastic Properties ◽

Rubber Composite ◽

Mooney Equation

Abstract The effective elastic properties of the cord-rubber composite are deduced from the principle of virtual work. Such a composite must be compliant in the noncord directions and therefore undergo large deformations. The Rivlin-Mooney equation is used to derive the effective Poisson's ratio and Young's modulus of the composite and as a basis for their measurement in uniaxial tension.

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Structures and Properties of Rubberlike Networks

10.1093/oso/9780195082371.001.0001 ◽

1997 ◽

Cited By ~ 6

Author(s):

Burak Erman ◽

James E. Mark

Keyword(s):

Subject Matter ◽

Rubber Elasticity ◽

Polymer Science ◽

Strong Emphasis ◽

Present Book ◽

Structures And Properties

Rubber elasticity is an important sub-field of polymer science. This book is in many ways a sequel to the authors' previous, more introductory book, Rubberlike Elasticity: A Molecular Primer (Wiley-Interscience, 1988), and will in some respects replace the now classic book by L.R.G. Treloar, The Physics of Rubber Elasticity (Oxford, 1975). The present book has much in common with its predecessor, in particular its strong emphasis on molecular concepts and theories. Similarly, only equilibrium properties are covered in any detail. Though this book treats much of the same subject matter, it is a more comprehensive, more up-to-date, and somewhat more sophisticated treatment.

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Rubbery Ormosils

MRS Proceedings ◽

10.1557/proc-180-981 ◽

1990 ◽

Vol 180 ◽

Cited By ~ 21

Author(s):

Young J. Chung ◽

Su-Jen Ting ◽

John D. Mackenzie

Keyword(s):

Nmr Spectroscopy ◽

Structural Model ◽

Rubber Elasticity ◽

New Technique ◽

Polydimethyl Siloxane ◽

Gelation Process ◽

Organically Modified Silicates ◽

Organically Modified ◽

A New Technique

ABSTRACTA new technique which permits the successful preparation of ORMOSILS (Organically Modified Silicates) with rubbery elasticity has been developed. Common alkoxides were reacted with polydimethyl siloxane (PDMS) and the microstructures were carefully controlled. Large monoliths of the porous rubbery ORMOSILS have been prepared. Gelation process was studied by 29Si liquid NMR spectroscopy. A structural model for rubber elasticity of ORMOSILS was proposed.

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Chiral phase-coexistence in compressed double-twist elastomers

Soft Matter ◽

10.1039/d1sm00181g ◽

2021 ◽

Author(s):

Matthew P Leighton ◽

Laurent Kreplak ◽

Andrew David Rutenberg

Keyword(s):

Liquid Crystal ◽

Biological Systems ◽

Phase Coexistence ◽

Rubber Elasticity ◽

Chiral Phase

We adapt the theory of anisotropic rubber elasticity to model cross-linked double-twist liquid crystal cylinders such as exhibited in biological systems. In mechanical extension we recover strain-straightening, but with an...

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