Mathematical Model of a Brittle Crack that Takes into Account the Distribution of Cohesive Forces between the Crack Faces and the Distance between Them
V. V. Shevelev, R. A. Osipov
Keywords: crack, mathematical model, brittle fracture, integral equation, numerical methods
Abstract
A mathematical model of a circular disk-shaped brittle crack whose faces are acted upon by cohesive forces, whose magnitude depends on the distance between the faces. An algorithm of numerical solution of the singular nonlinear improper integral equation defining the crack profile was developed which can be used for other integral equations of this type. It is shown that taking into account the coupling forces between the crack faces leads to their gradual closing with distance from the center of the crack.
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