Deformations of infinite slabs of non-linear viscoelastic solids containing an elliptic hole Academic Article

abstract

• 2016, Springer Science+Business Media Dordrecht. In this paper we study the state of stress and strain in infinite elastic slabs of nonlinear viscoelastic solids containing elliptic holes subject to an uni-axial as well as a bi-axial state of stress. The geometry affords one to get some inkling concerning the states of stress and strain in bodies containing a crack by obtaining the limit of the solutions as the aspect ratio (in this case the ratio of the minor axis to the major axis) of the ellipse tends to zero. We consider two classes of non-linear viscoelastic bodies, the classical incompressible KelvinVoigt solid (Thomson in R Soc Lond 14:289297, 1865; Voigt in Ann Phys 283(12):671693, 1892) and a generalization of a compressible model due to Gent (Rubber Chem Technol 69(1):5961, 1996). We also study for the sake of comparison the case of a nonlinear neo-Hookean elastic solid with an elliptic hole.

authors

• Rajagopal, Kumbakonam

published proceedings

• MECCANICA

author list (cited authors)

• Alagappan, P., Rajagopal, K. R., & Kannan, K.

citation count

• 2

complete list of authors

• Alagappan, P||Rajagopal, KR||Kannan, K

publication date

• November 2016

publisher

• Springer Nature  Publisher

published in

• Meccanica  Journal

keywords

• Elliptic Hole
• Large Deformation
• Plate
• Stress Concentration
• Viscoelastic

Digital Object Identifier (DOI)

• 10.1007/s11012-016-0539-3

start page

• 3067

end page

• 3080

volume

• 51

issue

• 12

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fs11012-016-0539-3