Inhomogeneous Planar Structure Experiencing Rotary Motion: A Longitudinal Fracture Investigation

Abstract

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