Inhomogeneous Planar Structure Experiencing Rotary Motion: A Longitudinal Fracture Investigation

In different sectors of engineering various planar structures often are experiencing motion. If the motion is with acceleration the inertia loadings in most of the cases cannot be neglected when analyzing different aspects of the behavior (including fracture) of these structures. In modern engineering using of continuously inhomogeneous structural materials for making of different structural members and components is growing constantly. This is due to the excellent properties of these materials. In a result of this, the continuously inhomogeneous materials represent a very promising alternative to the homogeneous engineering materials especially in applications where the structures are subjected to extreme loadings and influences. This paper is focused on investigation of a planar inhomogeneous structure with a longitudinal crack. The structure is experiencing a rotary motion. The inertia loadings induced by the acceleration are taken into account when deriving the strain energy release rate. The members of the structure under consideration are made by a continuously inhomogeneous material having non-linear viscoelastic behavior. Obtaining of the components of the inertia loading that acts on the structure is presented in detail. A verification of the proposed approach against the method of the integral J is shown. A parametric study developed by applying the solution of the strain energy release rate under inertia loading is reported and discussed.