Effects of the beam cross-section geometry on the lengthwise fracture of inhomogeneous beams Rizov скачать в хорошем качестве

Effects of the beam cross-section geometry on the lengthwise fracture of inhomogeneous beams Rizov

The present paper analyzes the effects of the beam cross-section on the lengthwise fracture behaviour of inhomogeneous beam configurations in terms of the strain energy release rate by applying linear-elastic fracture mechanics. The material is continuously inhomogeneous along height and length of the beams. A methodology for calculation of the strain energy release rate is developed and used for analyzing lengthwise fracture of a simply supported inhomogeneous beam loaded by one vertical force applied at the lower crack arm. The solutions to the strain energy release rate are verified by using the compliance method. Four beam cross-section geometries (isosceles triangle, antiparallelogram, T-shape and circle) and their effects on the lengthwise fracture behaviour are considered in detail. The lengthwise fracture behaviour of the inhomogeneous beam is analyzed also for the case when material has different moduli of elasticity in tension and compression. The results reported in the present paper can be applied in fracture mechanics based design of inhomogeneous structural members and components.