Abstract
In this paper we present a formulation of orthotropic elasto-plasticity at finite strains based on generalized stress–strain measures, which reduces for one special case to the so-called Green–Naghdi theory. The main goal is the representation of the governing constitutive equations within the invariant theory. Introducing additional argument tensors, the so-called structural tensors, the anisotropic constitutive equations, especially the free energy function, the yield criterion, the stress-response and the flow rule, are represented by scalar-valued and tensor-valued isotropic tensor functions. The proposed model is formulated in terms of generalized stress–strain measures in order to maintain the simple additive structure of the infinitesimal elasto-plasticity theory. The tensor generators for the stresses and moduli are derived in detail and some representative numerical examples are discussed.
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Received: 2 April 2002 / Accepted: 11 September 2002
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Schröder, J., Gruttmann, F. & Löblein, J. A simple orthotropic finite elasto–plasticity model based on generalized stress–strain measures. Computational Mechanics 30, 48–64 (2002). https://doi.org/10.1007/s00466-002-0366-3
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DOI: https://doi.org/10.1007/s00466-002-0366-3