A Green–Naghdi approach to finite anisotropic rate-independent and rate-dependent thermo-plasticity in logarithmic Lagrangean strain–entropy space

A large strain anisotropic elastoplastic continuum theory for nonlinear kinematic hardening and texture evolution

“…Many large strain simulations of metal sheet goods are performed using isotropic elastic relations with isotropic or anisotropic yield functions, using algorithms derived from the works of Weber and Anand (1990), Eterovic and Bathe (1990) and Simo (1992), among others, which use hyperelastic relations, objective stress integration algorithms and a simple modular structure in which large strain kinematics reduce to a geometric pre-and post-processor. Several formulations have been proposed for anisotropic elastoplasticity, but those do not inherit the modular structure and use plastic metrics, Green additive decompositions of total strains or elastic isotropy, see for example (Papadopoulos and Lu, 2001;Miehe et al, 2002;Menzel and Steinmann, 2003;Ulz, 2009;Vladimirov et al, 2010), among others. Additive splits of total (versus incremental) strains into elastic and plastic parts have been questioned in Ref.…”

Loss of ellipticity for non-coaxial plastic deformations in additive logarithmic finite strain plasticity

“…Eisenberg et al [18] employ an additive decomposition of strain for thermo-plastic materials and provide experimental correlation to theory. For numerical results see also [82,81]. Despite appearance, we need to remark that this additive model has not much in common with models based on the multiplicative decomposition, which will be shortly discussed in Section 2.…”

An invariant-based anisotropic material model for short fiber-reinforced thermoplastics: Coupled thermo-plastic formulation

“…In the related literature, from the numerical standpoint, a significant number of studies have been devoted to the theoretical formulation and numerical treatment of anisotropic plastic models [14,27,28,26,35,33,41] and thermo-mechanical formulations [11,23,24,38,40]. In this setting, Reese and coauthors developed several few models for the large deformation that accounted for anisotropic inelastic behavior based upon a structural tensorial representation, see [30,42] and the references therein given.…”