Abstract
This paper investigates an important problem of kinematic structuring of nonlinear constitutive models within the framework of large deformations. It compares systematically two generic kinematic approaches based on the additive decomposition of the rate of deformation tensor, and the multiplicative split of the deformation gradient. The main conclusion resulting from this paper is that both approaches can provide identical results, depending on the definition of the viscous part of the continuum spin tensor. As a result, the results of this paper can help scientists and engineers in choosing the most robust and accurate kinematic approach to build their nonlinear constitutive models for many practical applications such as simulations of nonlinear viscoelastic flows (with a large elastic component) of amorphous polymers.
Original language | English |
---|---|
Pages (from-to) | 389-395 |
Number of pages | 7 |
Journal | International Journal of Non-Linear Mechanics |
Volume | 44 |
Issue number | 4 |
DOIs | |
Publication status | Published - May 2009 |