On a numerical implementation of a formulation of anisotropic continuum elastoplasticity at finite strains

Anisotropic finite elastoplasticity with nonlinear kinematic and isotropic hardening and application to sheet metal forming

“…Approaches based on phenomenological continuum mechanics are frequently used owing to their simplicity and relatively low computational effort, which makes them especially attractive for the simulation of real forming processes. Anisotropic continuum mechanical approaches in the finite strain regime can be, in general, separated into two groups: additive formulations, either in the logarithmic strain space (Miehe et al, 2002;Miehe and Apel, 2004) or using generalized stress-strain measures (Papadopoulos and Li, 2001;Schröder et al, 2002), and multiplicative formulations utilizing the classical split of the deformation gradient (Eidel and Gruttmann, 2003;Menzel and Steinmann, 2003;Sansour et al, 2006Sansour et al, , 2007Sansour et al, , 2008. In addition to the modelling of initial anisotropy, formulations discussing evolving plastic anisotropy of the affine saturation type and rotation of the anisotropy axes can be found in Johansson (2008) and Duchêne et al (2008), respectively.…”

Material Modelling of Evolving Elastic and Plastic Anisotropywith Application to Deep Drawing Processes

“…Approaches based on phenomenological continuum mechanics are frequently used due to their relatively low computational effort, which makes them especially advantageous for the simulation of real forming processes. Anisotropic continuum mechanical approaches in the regime of large deformations can be, in general, separated into two groups: additive formulations, either in the logarithmic strain space ( [4]) or using generalized stress-strain measures ( [5]), and multiplicative formulations utilizing the classical split of the deformation gradient ( [7], [11]). …”

On the influence of kinematic hardening on plastic anisotropy in the context of finite strain plasticity

“…In general, anisotropic continuum mechanical approaches in the finite strain regime can be classified into two groups: additive formulations, either in the logarithmic strain space (Miehe et al [8], Miehe and Apel [9]) or using generalized stress-strain measures (Papadopoulos and Lu [10], Schröder et al [11]), and multiplicative formulations utilizing the classical split of the deformation gradient (Eidel and Gruttmann [12], Menzel and Steinmann [13], Sansour et al [14][15][16], Vladimirov et al [47]). A multiplicative description of evolving elastic and plastic anisotropy is presented in the interesting paper of Harryson and Ristinmaa [17].…”