Large deformations of a new class of incompressible elastic bodies

abstract

• 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 CauchyGreen 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.

authors

• Rajagopal, Kumbakonam

published proceedings

• ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

author list (cited authors)

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

citation count

• 5

publication date

• June 2016

publisher

• Springer Nature  Publisher

keywords

• Constraints
• Green-like Constitutive Relation
• Implicit Constitutive Theories

Digital Object Identifier (DOI)

• 10.1007/s00033-016-0638-y

start page

• 47

volume

• 67

issue

• 3

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fs00033-016-0638-y