micropolar plasticity provides the capability to carry out post-failure simulations of geo-structures due to microstructural considerations and embedded length scale in its formulation. an essential part of the numerical implementation of a micropolar plasticity model is the integration of the rate constitutive equations. efficiency and robustness of the implementation hinge on the type of inte...

Strains are applied to the integration procedure in nonlinear increments todecrease the errors arising from the linearization of plastic equations. Two deformationvectors are used to achieve this. The first vector is based on the deformations obtained bythe first iteration of the equilibrium step, and the second is acquired from the sum of thesucceeding iterations. By applying these vectors and...

Micropolar plasticity provides the capability to carry out post-failure simulations of geo-structures due to microstructural considerations and embedded length scale in its formulation. An essential part of the numerical implementation of a micropolar plasticity model is the integration of the rate constitutive equations. Efficiency and robustness of the implementation hinge on the type of int...

In this paper, we apply projective integration methods to hyperbolic moment models of the Boltzmann equation and BGK equation, investigate numerical properties resulting scheme. Projective is an explicit scheme that tailored problems with large spectral gaps between slow (one or many) fast eigenvalue clusters model. The analysis a linearized model clearly shows reveals multi-scale nature for wh...