Modelling of large plastic deformations based on the mechanism of micro-shear banding. Physical foundations and theoretical description in plane strain

Od Vol. 53, issue 4/5 (2001) wyd: PAS. IFTR

Shear banding is related with large plastic deformations produced by mechanisms of crystallographic slip and/or twinning and micro-shear. Physical foundations and motivations to formulate simplified phenomenological model are considered. Plane deformations of elastoplastic material accounting for micro-shear bands are studied. The derived relations show that micro-shear bands produce the non-coaxiality between principal directions of stress and rate of plastic deformations. It transpires that, depending on the contribution of the mechanisms involved in plastic flow, a fully active range, separated from the elastic range by a truly nonlinear zone called the partially active range, may exist. In case of continued plastic flow with the deviations from proportional loading contained within the fully active range the incremental plastic response is linear, whereas the constitutive relations derived for the partially active range appear thoroughly nonlinear. Relations to known nonlinear flow laws in rates of deformation and stress are discussed.

Od Vol. 43, issue 1 (1991) wyd.: Polish Scientific Publishers = PWN

Od Vol. 50, issue 4 (1998) wyd.: Agencja Reklamowo-Wydawnicza A. Grzegorczyk

[1], 489-698 stron ; 24 cm