Abstract
This paper analyzes the effect of strain recovery upon unloading on longitudinal fracture behaviour of continuously inhomogeneous beam with linear creep. For this purpose, time-dependent solutions to the strain energy release rate are obtained for both loading and unloading phases by using the strain energy. Time-dependent solutions to the strain energy release rate are found also by considering the compliance of the beam for verification. The creep is treated by using a linear viscoelastic model. The material is continuously inhomogeneous in both thickness and length directions of the beam. Therefore, the modulii of elasticity and the coefficient of viscosity are continuously distributed along the thickness and length of the beam. The longitudinal crack is located symmetrically with respect to the mid-span. Due to the symmetry, only half of the beam is analyzed. A parametric investigation of the time-dependent longitudinal fracture behaviour of the beam is carried-out by applying the solutions to the strain energy release rate. The variation of the strain energy release rate with time due to the creep behaviour in loading and unloading phases is investigated.
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