Quantification of Numerical Stiffness for a Unified Viscoplastic Constitutive Model

[+] Author and Article Information
S. M. Arnold

NASA Lewis Research Center, Cleveland, Ohio 44135

J. Eng. Mater. Technol 112(3), 271-276 (Jul 01, 1990) (6 pages) doi:10.1115/1.2903322 History: Received September 03, 1988; Revised April 16, 1989; Online April 29, 2008


Here the question of numerical stiffness pertaining to a unified viscoplastic constitutive model is examined. The viewpoint maintained throughout this study is the state variable approach. Stiffness is quantified by examining, analytically, the eigenvalues of the associated Jacobian matrix. Specific results, in the form of stiffness contours, for the material parameters characterizing the copper alloy NARloy-Z are presented in the associated uniaxial state space. The results indicate that the potential for numerical stiffness does exist, however the severity is highly dependent upon the location of the state point within the state space. Finally a qualitative analogy between the maximum difference in stiffness indicating eigenvalues and the G vectors of the corresponding state space is suggested.

Copyright © 1990 by The American Society of Mechanical Engineers
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