Academic Journals Database
Disseminating quality controlled scientific knowledge

Eulerian elastoplasticity: Basic issues and recent results

ADD TO MY LIST
 
Author(s): Bruhns O.T.

Journal: Theoretical and Applied Mechanics
ISSN 1450-5584

Volume: 36;
Issue: 3;
Start page: 167;
Date: 2009;
VIEW PDF   PDF DOWNLOAD PDF   Download PDF Original page

Keywords: Elastoplasticity | finite deformation | Eulerian rate formulation | hypoelasticity | objective stress rates | logarithmic rate | consistency criteria | anisotropy | deformation cycles

ABSTRACT
Traditional formulations of elastoplasticity in the presence of finite strain and large rotation are Eulerian type and widely used; they are based upon, among other things, the additive decomposition of the stretching or the Eulerian strain-rate into elastic and plastic parts. In such formulations, yield functions and objective rate constitutive equations are expressed in terms of objective Eulerian tensor quantities, including the stretching, the Kirchhoff stress, internal state variables, etc. Each of these quantities transforms in a corotational manner under a change of the observing frame. According to the principle of material frame-indifference or objectivity, each constitutive function should be invariant, whenever the observing frame is changed to another one by any given time-dependent rotation. In this work the general form of constitutive equations is discussed. Several frequently used objective rates are analyzed with respect to their serviceability to develop a self-consistent formulation, i.e. to be integrable to deliver an elastic in particular hyperelastic relation for vanishing plastic deformation. This would be of great importance, e.g., for so-called spring back calculations in metal forming.
     Live and Work Abroad