Loads transfer from finite number finite stringers to an elastic half-plane through adhesive shear layers

In the paper the problem for an elastic half-plane which on finite intervals along y = 0 line in the plane xOy is strengthened by arbitrary finite number of finite stringers (overlays) with different elastic characteristics and small constant thickness is observed. The contact interaction between deformable base and stringers through adhesive shear layers with other physical - mechanical properties and geometric configuration is realized. The stringers are deformed under the action of horizontal forces. The determination problem of unknown shear stresses which are acting between deformable base and stringers are reduced to the system of Fredholm’s integral equations of second kind relative to finite number of unknown functions which specified in different finite intervals. It is shown that in the certain domain of the change of characteristic parameter of problem this system of integral equations in Banach space may be solved by the method of successive approximations. The particular cases are observed and the character and behaviour of unknown shear stresses are investigated and numerical results are presented