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Abstract
Most computer codes intended for the solution of dynamic mechanics problems use classical infinitesimal plasticity relations together with the Jaumann stress rate to account for finite rotations. Use of the Jaumann stress rate is known to lead to oscillating stress-strain response in simple shear at large deformations for some elastic and plastic relations, and is limited to isotropic material functions. Formulations of finite deformation plasticity based on the Lagrangian reference configuration and an unrotated configuration have been proposed which, in principle, should overcome these limitations. The latter has been implemented in a finite element computer code. In this paper, it is shown how a Lagrangian description based on the reference configuration may be implemented in computer codes, and how it may be translated into corresponding Eulerian and unrotated descriptions for comparison with currently used descriptions.
Published Version
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