FRICTIONAL SLIDING INCLUSIONS

SOLUTIONS ARE presented in closed form by using an averaging method for inclusions sliding along an interface due to uniform eigenstrains precribed in the inclusions. The associated stress fields arc also analytically determined. A parameter s is introduced to indicate the relative magnitude of sliding compared with the extreme cases of perfect bonding and perfect sliding. When the parameter s becomes zero, the present solution coincides with Eshelby's solution which is the perfectly bonded case. In contrast, when the parameter s is unity, the solution agrees with Volterra's solution (MURA and FURUHASHI, 1984, J. appl. Mech. 51, 308) for the perfect sliding case. Because of non-uniform elastic fields caused by sliding along the interface, the well-known Eshelby tensor is modified for the sliding inclusions. Moreover, based on the Mori-Tanaka theory (MoRI and TANAKA, 1973, Acta Metall. 21, 571), an overall stress-strain relation is established to characterize the sliding effect on the overall elastic moduli.