Elastostatic solutions for semi-infinite orthotropic cantilevered strips

The elastostatic solutions of semi-infinite orthotropic cantilevered strips with traction free edges and loading at infinity are governed by the differential equation φyyyy+(2+δ0) φyyzz+φzzzz =0 with δ0>-4. Based on the previous work for δ0>0 case, we completed the case δ0=0 for isotropic materials and the case 0>δ0>-4 for orthotropic materials in this paper. The solutions of the above problems have important application in the properly formulated boundary conditions of plate theories for the case in which the displacement data are prescribed at the plate edge.