Construction of Integral Relations of the Theory of Elasticity and Their Application to the Problems of Linear Fracture Mechanics

Determination of displacements on the surface of 3D flat cracks in an unbounded elastic medium

“…The main aspects of the proposed method were presented earlier [5] and used to set up integral equations of displacements. In this work, these aspects have been developed within framework of direct methods of singular integral equations (MSIE) [6] to reduce the dimension of the matrices of resolving systems of linear algebraic equations, the efforts and time for their formation, as well as the expenditure on the finite element discretization of the surface.…”

“…In work [5], integral representations of displacements, divergence and curl had been obtained in the form:…”