The mechanics and mathematics of the effect of pressure on the shear modulus of elastomers Academic Article

abstract

• In this paper, we discuss the need for models that express the stretch (or strain) as a function of stress, or implicit constitutive models that relate the stretch (or strain) and stress, for describing the elastic response of some elastomers. We would like to provide an explanation for some experimental data for elastomeric materials that imply that the material moduli depend on pressure. Included in the class of models that are proposed are those which can explain limiting chain extensibility that is exhibited by some rubber-like solids. The models that are proposed stem from a completely different starting point from that for classical elastic bodies, so that these models cannot be obtained within the context of classical theory.

authors

• Rajagopal, Kumbakonam

published proceedings

• PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

author list (cited authors)

• Rajagopal, K. R., & Saccomandi, G.

citation count

• 27

complete list of authors

• Rajagopal, KR||Saccomandi, Giuseppe

publication date

• December 2009

publisher

• The Royal Society  Publisher

keywords

• Continuum Mechanics
• Elasticity
• Implicit Theories
• Pressure-dependent Elastic Moduli

Digital Object Identifier (DOI)

• 10.1098/rspa.2009.0416

start page

• 3859

end page

• 3874

volume

• 465

issue

• 2112

URL

• http://dx.doi.org/10.1098/rspa.2009.0416