Plastic interfacial slip of periodic systems of rigid thin inclusions undergoing longitudinal shear

Plastic interfacial slip at the longitudinal shear of double periodic systems of thin rigid inclusions in elasto-plastic solids is investigated. Plastic deformations are considered to be localized in the thin layers on the inclusion-matrix boundary at the inclusion tips. The length of plastic layers and the rupture displacement value at the inclusions tips caused by plastic interfacial slip are determined. Particular cases of uniperiodical parallel or collinear inclusion systems are analyzed in detail.