Effect of Functionally Graded Inclusion on Stress Conservation Near a Circular Hole in Thin Plates for Different Boundary Conditions

Computer simulation and finite element analysis of stress concentration near a circular hole in thin homogeneous plates with an annular inclusion made of functionally graded material (FGM) under uniaxial and biaxial loads are performed. The influence of boundary conditions on the stress concentration factor is considered. Recommendations on the ways to reduce stress concentration around the hole are presented. Rational geometric and mechanical parameters of FGM inclusions for the considered types of boundary conditions are found, which make it possible to significantly reduce the stress concentration factor. At the same time, a mechanical effect is discovered: the use of an annular FGM inclusion with the proposed law of change in the modulus of elasticity leads to a decrease in the intensity of both stresses and strains around the hole. This study can provide designers with an effective practical way to reduce stress concentration in plate structures with holes, which makes it possible to obtain a smoother stress distribution due to the use of inclusions made of FGM around the holes