Equilibrium of an Elastic Half Plane with Rigidly Fixed Boundary Weakened by an Oblique Cut

We consider a new problem of balance an elastic half plane with rigidly fixed boundary containing rectilinear cut appearing on the at certain angle. The exact analytic solution is constructed and efficient algorithm matrix factorization developed for system Wiener–Hopf equations. reduced to two functional equations whose was in closed form. As result, we obtain explicit expressions displacements stresses, which enable us describe numerically estimate stress-strain state depending geometric parameters physical characteristics material plane.