Large deformations of a new class of incompressible elastic bodies Academic Article uri icon


  • © 2016, Springer International Publishing. The consequences of the constraint of incompressibility is studied for a new class of constitutive relation for elastic bodies, for which the left Cauchy–Green tensor is a function of the Cauchy stress tensor. The requirement of incompressibility is imposed directly in the constitutive relation, and it is not necessary to assume a priori that the stress tensor should be divided into two parts, a constraint stress and a constitutively specified part, as in the classical theory of nonlinear elasticity.

author list (cited authors)

  • Bustamante, R., Orellana, O., Meneses, R., & Rajagopal, K. R.

citation count

  • 5

publication date

  • April 2016