Solution to Force Problem of Linear Elasticity Theory for Quarter Space with Edge- uniform Forces

In the paper, the force problem of the linear elasticity theory is solved for a quarter space with edge-uniform forces. It is demonstrated that it is possible find a Green function analog that corresponds to the derivative of the delta function in the boundary conditions. In this formulation of the problem, it is reduced to the Fredholm integral equation of the second kind with a solution in the form of a rapidly convergent series. The method applied can be used to solve the force problems of the linear elasticity theory for a space sector with a dihedral angle of arbitrary value.