Analysis of the Tilted Shallow Wedge Problem in Couple-Stress Elasticity

The present work examines the problem of the tilted shallow wedge problem in the context of the generalized continuum theory of couple stress elasticity. The solution methodology is based on singular integral equations which resulted from the treatment of the mixed boundary value problem via integral transforms and generalized functions. The results suggest an extension of the work of Shackfield et al. (Eur. J. Mech. A, Solids 24(6):919–928, 2005), within the context of classical elasticity and the effects of the material microstructural characteristics upon the macroscopic and the local response are explored.