R. Sievert et al., Finite deformation Cosserat-type modelling of dissipative solids and its application to crystal plasticity, J PHYS IV, 8(P8), 1998, pp. 357-364
Recently, several proposals were made for the enlargement of the classical
field equations in order to solve locally inhomogeneous deformation problem
s (e.g. at shear banding and damage localization or of composites). In the
present paper basic issues of this topic will be treated : i) the implicit
dependence within the gradient plasticity theory, ii) the more open micromo
rphic view-point of the gradient of internal variable approach, iii) a deri
vation of an elastic-plastic decomposition of the Cosserat strain measures,
iv) its application to the description of lattice curvature in crystals. F
inally, finite element simulations of strain localization in Cosserat singl
e crystals are presented.