A nonlinear model for describing the mechanical behaviour of rock

abstract

• 2017, Springer-Verlag GmbH Austria. In this paper, a nonlinear constitutive relation is proposed to model the behaviour of sandstone. The model is based on a relatively new class of constitutive relations proposed recently in the literature, which cannot be classified as Cauchy or Green elastic bodies. A specific expression for the constitutive relation is proposed on the basis of some experimental data for the compression of a sample of rock, and several boundary value problems are analysed, considering homogeneous distributions of strains, as well as a problem wherein one has a non-homogeneous distribution of strains. Finally, the behaviour of the P- and S-waves is studied for a sample of rock under compression, and it is discovered that the wave speed depends on the compressive load, a result supported by experiments.

authors

• Rajagopal, Kumbakonam

published proceedings

• ACTA MECHANICA

author list (cited authors)

• Bustamante, R., & Rajagopal, K. R.

citation count

• 17

complete list of authors

• Bustamante, R||Rajagopal, KR

publication date

• January 2018

publisher

• Springer Nature  Publisher

published in

• ACTA MECHANICA  Journal

keywords

• 40 Engineering
• 4019 Resources Engineering And Extractive Metallurgy

Digital Object Identifier (DOI)

• 10.1007/s00707-017-1968-3

start page

• 251

end page

• 272

volume

• 229

issue

• 1

URL

• http://dx.doi.org/10.1007/s00707-017-1968-3