Stresses and moments in through-thickness functionally graded plate weakened by circular/elliptical cut-out

• A general solution is presented for functionally graded infinite plate with circular and elliptical hole.
• Muskhelishvili׳s complex variable approach is adopted.
• Material property variation is taken through thickness of the plate.
• The effect of hole geometry, material property variation and loading angle on stresses and moments around hole is studied.

In this paper, solution of stress resultant and moments around circular and elliptical hole in functionally graded (FG) infinite plate with through thickness material property variation is presented. The through thickness variation of material properties is obtained according to power law and stress functions are computed using complex variable method. Effect of gradation of material property, geometry and loading angle on stresses and moments is studied.