Influence of Different Behavior in Tension and Compression on Longitudinal Fracture of Inhomogeneous Beams Under Impact

The current paper has for its purpose to develop a theoretical investigation of the effect of different mechanical behavior in tension and compression on the longitudinal fracture in continuously inhomogeneous beam structures subjected to impact loading. The basic motive for carrying-out this investigation is the fact that in many situations in engineering practice various beam structures are under impact loading which may be induced, for instance, by falling objects which strike the structure. This kind of loading threatens the structural integrity and reliable functioning of engineering constructions. Therefore, it is important to study in detail different aspects of the behavior of structures under impact. This paper is focused on the influence of different mechanical behavior in tension and compression on the longitudinal fracture. The beams under consideration are non-linear elastic and exhibit continuous inhomogeneity along their thickness. The integral J is applied for studying the longitudinal fracture under impact loading. The strain energy release rate is obtained to verify the solution of the integral J. Results illustrating the effect of different behavior in tension and compression are derived and presented in graphical form.