CiteULike: norris's polymers

Energy minimization for self-organized structure formation and actuation

Guggi Kofod — 2008-03-23T14:19:53-00:00

Applied Physics Letters, Vol. 90, No. 8. (2007)

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Rudiments of polymer physics

Justin Bois — 2007-12-10T19:47:08-00:00

(2002)

Modern Theory of Polymer Solutions

Hiromi Yamakawa — 2007-12-10T19:29:23-00:00

(1971)

Path integrals and polymer problems

SF Edwards — 2007-12-05T16:25:39-00:00

(1078), pp. 285-313.

Dynamic Light Scattering: With Applications to Chemistry, Biology, and Physics

Bruce Berne — 2007-11-24T19:53:59-00:00

(14 August 2000)

<div><div>This comprehensive introduction to principles underlying laser light scattering focuses on time dependence of fluctuations in fluid systems. It also serves as introduction to theory of time correlation functions, with chapters on projection operator techniques in statistical mechanics. Over 60 text figures. 1976 edition.<br></div></div>

Constitutive Modelling of Rubber-Like and Biological Materials with Limiting Chain Extensibility

Cornelius Horgan — 2007-11-08T19:15:44-00:00

Mathematics and Mechanics of Solids, Vol. 7, No. 4. (1 August 2002), pp. 353-371.

Many rubber-like materials and soft tissues exhibit a significant stiffening or hardening in their stress-strain curves at large strains. The accurate modelling of this phenomenon is a key issue for a better understanding of the thermomechanics of rubber and the biomechanics of arteries, blood vessels, tendons and other biological tissues. In this paper, we consider several strain-energy functions that have been proposed to model this strain hardening effect in the framework of the theory of isotropic hyperelasticity. These models may be divided in two main families: power law models and limiting chain extensibility models, both of which are based on non-Gaussian statistics for their molecular structure. The known limiting chain extensibility models involve a constraint on the strain invariants. Here we consider alternative models which limit the maximum stretch. The two homogeneous deformations of uniaxial extension and pure shear are examined in detail. It is shown that simple modifications of the incompressible neo-Hookean or Varga materials to reflect limiting chain extensibility can be used to match well with the classic experimental data of Treloar. Some remarks on empirical inequalities and ellipticity are also given. 10.1177/108128028477

On Constitutive Models for Limited Elastic, Molecular Based Materials

Millard Beatty — 2007-11-08T17:57:38-00:00

Mathematics and Mechanics of Solids (14 May 2007), 1081286507076405.

The response function for a general class of elastic molecular based materials characterized by their limiting molecular chain extensibility and depending on only the first principal invariant of the Cauchy-Green deformation tensor together with a certain molecular based limiting extensibility parameter is introduced. The constitutive response function for the Gent material is then derived inversely as the [0/1] Pade approximant of this class, a result that leads naturally to an infinite geometric series representation of its response function. Truncation of this series function characterizes a familiar class of quadratic materials now having physically relevant material constants. It is shown that the [0/2] approximant of the response function for the general class of restricted elastic materials leads inversely to a new constitutive model and its series representation. Of course, many familiar limited elastic material models are members of the general class. The Pade approximants for some response functions are not, and empirical modifications that admit these as members of the general class are described. Examples of two limited elastic models in the class that are not Pade approximants are noted. The strain energy functions for a few of the restricted elastic models described are presented. 10.1177/1081286507076405

Capillary Wrinkling of Floating Thin Polymer Films

Jiangshui Huang — 2007-09-18T19:02:24-00:00

Science, Vol. 317, No. 5838. (3 August 2007), pp. 650-653.

A freely floating polymer film, tens of nanometers in thickness, wrinkles under the capillary force exerted by a drop of water placed on its surface. The wrinkling pattern is characterized by the number and length of the wrinkles. The dependence of the number of wrinkles on the elastic properties of the film and on the capillary force exerted by the drop confirms recent theoretical predictions on the selection of a pattern with a well-defined length scale in the wrinkling instability. We combined scaling relations that were developed for the length of the wrinkles with those for the number of wrinkles to construct a metrology for measuring the elasticity and thickness of ultrathin films that relies on no more than a dish of fluid and a low-magnification microscope. We validated this method on polymer films modified by plasticizer. The relaxation of the wrinkles affords a simple method to study the viscoelastic response of ultrathin films. 10.1126/science.1144616

The Baker-Ericksen inequalities for hyperelastic models using a novel set of invariants of Hencky strain

Patrick Wilber — 2007-08-31T18:35:47-00:00

International Journal of Solids and Structures, Vol. 42, No. 5-6. (March 2005), pp. 1547-1559.

We study a class of models that describes isotropic hyperelastic materials and that is defined using a novel set of invariants for the Hencky strain. For these models, we derive the appropriate form of the Baker-Ericksen inequalities. To illustrate an application, we then use this form of the Baker-Ericksen inequalities to develop a set of specific constitutive restrictions for a model of rubber-like materials proposed in [Criscione, J.C., Humphrey, J.D., Douglas, A.S., Hunter, W.C., 2000. J. Mech. Phys. Solids 48, 2445-2465].

Stretching and polarizing a dielectric gel immersed in a solvent

Xuanhe Zhao — 2007-08-31T14:12:40-00:00

On the transverse vibration of a rubber string

Millard Beatty — 2007-08-27T21:13:38-00:00

Journal of Elasticity, Vol. 13, No. 3. (1983), pp. 317-344.

The nearly constant pitch of the sound radiated by a sufficiently stretched rubber cord, a phenomenon observed independently by two experimenters at the turn of the century, is explained analytically for three ideal rubberlike material models. Transverse vibrational frequency data for three kinds of rubber strings, obtained with the aid of a novel laser apparatus, are compared with the analytical results. A numerical scheme is introduced to compute from the experimental data the apparent average number of links in a molecular chain of a rubberlike material from both simple tension and transverse frequency measurements. It is shown that the nearly flat frequency response is a molecular network finite extensibility effect that is controlled by the apparent number of links in a chain of the molecular network structure.

Constitutive Equations for the Back Stress in Amorphous Glassy Polymers

Millard Beatty — 2007-08-10T13:31:03-00:00

Mathematics and Mechanics of Solids, Vol. 10, No. 2. (1 April 2005), pp. 167-181.

Constitutive equations for the back stress in amorphous glassy polymers based on extended forms of the non-Gaussian James--Guth 3-chain and Arruda--Boyce 8-chain models of rubber elasticity are derived from the extended Wu and van der Giessen non-Gaussian full-network model. A simple and invariant constitutive equation for the back stress tensor is then derived from the Wu and van der Giessen model by an average-stretch approximation. Although the average-stretch model of the full-network amorphous microstructure is more general than other chain cell models, the constitutive equation is the same as the 8-chain back stress relation. Back stress equations for a class of extended phenomenological models, including the Gent material model, are described. 10.1177/1081286505036316