STRAIN LOCALIZATION IN PLANE-STRAIN MICROPOLAR ELASTICITY

Strain localization of nonlinear micropolar elastic material in plane strain deformation is discussed. Attention is focused on the case when the micro-rotation is linearly related to the macro-rotation and when the material is centro-symmetric. The strain localization is regarded as a perturbation on the otherwise homogeneous deformation field. Gen eral formulations for the initiation of the localization are given. Nu merical results for a special material are presented. Since the effect s of microstructures of materials are considered, the analysis gives n ot only the critical stretches for localized banding, but also the thi ckness of the band.