Construction of a Strain-Energy Function for an Isotropic Elastic Material

Fong, Jeffrey T.; Penn, Robert W.

doi:10.1122/1.549389

Cited by 20 publications

(17 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In a series of elegant experiments on peroxide vulcanizates of natural gum rubber using a dilatometer technique, Penn (1970) measured the volume change for a number of rubber-like materials in simple tension. His data is summarized and tabulated in Fong and Penn (1975) and this data was converted to data for i 3 in Horgan and Murphy (2009a). Another set of simple tension data that is available is that of Christensen and Hoeve (1970).…”

Section: Experimental Data For Simple Tensionmentioning

confidence: 99%

See 1 more Smart Citation

On the volumetric part of strain-energy functions used in the constitutive modeling of slightly compressible solid rubbers

Horgan

Murphy

2009

International Journal of Solids and Structures

View full text Add to dashboard Cite

Experimental data for compression and simple tension Finite element simulations Volumetric term in strain-energy density a b s t r a c t A popular model for the finite element simulation of slightly compressible solid rubber-like materials assumes that the strain-energy function can be additively decomposed into a volumetric part and a deviatoric part. Based on mathematical convenience, the volumetric part is usually assumed to be a finite polynomial in the volume change. Experimental evidence suggests that for solid rubbers in compression, this polynomial can be taken to be a simple quadratic for moderate deformations and that this function also adequately models the volume change and the stress/stretch relation for materials in simple tension, up to stretches of order 100%. For larger tensile deformations, however, experimental data suggest that the Cauchy stress-volume change relation has an increasingly large slope and therefore a truncated Taylor series expansion is not the most appropriate. A rational function approach is proposed here as an alternative.

show abstract

Section: Experimental Data For Simple Tensionmentioning

confidence: 99%

“…Unfortunately these data were not tabulated and the graphical presentation of these data in Penn (1970) is not clear. A better graphical representation of Penn's data in given in Fong and Penn (1975). These stress-stretch data were digitized and are given in Table 1.…”

Section: Experimental Data For Simple Tensionmentioning

confidence: 99%

On the volumetric part of strain-energy functions used in the constitutive modeling of slightly compressible solid rubbers

Horgan

Murphy

2009

International Journal of Solids and Structures

View full text Add to dashboard Cite

show abstract

“…It is a fairly common practice to partition the stored energy into a distortional and a volumetric part [20,21]. Gent [13] introduced a stored energy function for rubber-like materials wherein a finite stretch limit of cross-linked polymeric materials are taken into account.…”

Section: Preliminariesmentioning

confidence: 99%

On a possible methodology for identifying the initiation of damage of a class of polymeric materials

2016

View full text Add to dashboard Cite

In this paper, we provide a possible methodology for identifying the initiation of damage in a class of polymeric solids. Unlike most approaches to damage that introduce a damage parameter, which might be a scalar, vector or tensor, that depends on the stress or strain (that requires knowledge of an appropriate reference configuration in which the body was stress free and/or without any strain), we exploit knowledge of the fact that damage is invariably a consequence of the inhomogeneity of the body that makes the body locally 'weak' and the fact that the material properties of a body invariably depend on the density, among other variables that can be defined in the current configuration, of the body. This allows us to use density, for a class of polymeric materials, as a means to identify incipient damage in the body. The calculations that are carried out for the biaxial stretch of an inhomogeneous multi-network polymeric solid bears out the appropriateness of the thesis that the density of the body can be used to forecast the occurrence of damage, with the predictions of the theory agreeing well with experimental results. The study also suggests a meaningful damage criterion for the class of bodies being considered.

show abstract

“…In a series of elegant experiments on peroxide vulcanizates of natural gum rubber using a dilatometer technique, Penn (1970) measured the volume change for a number of rubber-like materials in simple tension. His data are summarized and tabulated in Fong and Penn (1975). We have seen in Section 4 that the GH model predicts the power-law relation (2.4) 1 between the stretches in simple tension, from which the volume change relation (2.6) can be inferred.…”

Section: Other Simple Tension Datamentioning

confidence: 99%

A generalization of Hencky’s strain-energy density to model the large deformations of slightly compressible solid rubbers

Horgan

Murphy

2009

Mechanics of Materials

View full text Add to dashboard Cite

Construction of a Strain-Energy Function for an Isotropic Elastic Material

Cited by 20 publications

References 0 publications

On the volumetric part of strain-energy functions used in the constitutive modeling of slightly compressible solid rubbers

On the volumetric part of strain-energy functions used in the constitutive modeling of slightly compressible solid rubbers

On a possible methodology for identifying the initiation of damage of a class of polymeric materials

A generalization of Hencky’s strain-energy density to model the large deformations of slightly compressible solid rubbers

Contact Info

Product

Resources

About