Unified stress update algorithms for the numerical simulation of large deformation elasto-plastic and elasto-viscoplastic processes

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An improved CE/SE scheme for multi-material elastic–plastic flows and its applications (2009, methodology): “Recently, Ponthon [37,38] developed another correcting method which can be unified to treat the elastoplastic and elasto-viscoplastic processes.”
On the determination of material parameters for internal variable thermoelastic-viscoplastic constitutive models (2007, methodology): “This algorithm calculates the strain gradient tensor F and the rotation tensor R by the polar decomposition method (see e.g. Scheidler and Wright, 2001; Ponthot, 2002).”
Constitutive relations in 3-D for a wide range of strain rates and temperatures – Application to mild steels (2007, background): “…incremental objectivity, the equations were rewritten in the neutralized or corotational configuration (Simo and Taylor, 1985; Doghri, 2000; Hagege, 2004; Ponthot, 2002), therefore the complicated objective stress rate present in the elastic behavior law can be computed as a simple time derivative.”