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G. Meschke, W.N. Liu:
"A Study on the Significance of the Chosen Stress Measure in Finite Strain Plasticity";
ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, 77 (1997), 219 - 220.

The choice of the specific stress measure used in eulerian formulations of finite deformation plasticity theory depends on the stress tensor employed for the definition of the hyperelastic law and its work conjugate rate of deformation used in the dissipation functional. The exponential algorithm proposed in [1] is based on the Kirchhoff stress tensor and the spatial rate of deformation tensor d as work conjugate variables. The formulation of the yield function in terms of Kirchhoff stresses, however, is questionable on physical grounds. Experimental evaluations of yield stresses, strength properties or the post-yielding and post-failure bahaviour measured from the deformed configuration result in yield and failure stresses to be interpreted as Cauchy stresses, where J is the jacobian determinant. Consequently, a direct calibration of yield or failure stresses and of hardening or softening characteristics of the material reauires the use of Cauchy stresses in the formulation of the yield function and of the hardening law.

Keywords: plasticity, Finite Strain, Kirchhoffshe, snow, stress