Delamination of multilayered non-linear elastic shafts in torsion

Abstract

Delamination cracks in multilayered circular shafts loaded in torsion are analyzed in terms of the strain energy release rate. It is assumed that the material in each layer has non-linear mechanical behaviour that is treated by the Ramberg-Osgood constitutive law. Also, each layer exhibits smooth material inhomogeneity in radial direction. It is assumed that the three material properties involved in the Ramberg-Osgood constitutive law vary continuously in radial direction of layers. A methodology for determination of the strain energy release rate is developed that is applicable for shafts made of arbitrary number of adhesively bonded concentric layers which have individual thickness and material properties. The delamination cracks are located arbitrary between layers. The methodology is used to investigate a delamination in a multilayered clamped shaft. The delamination is also studied by analyzing the energy balance for verification. Parametric analyses of the clamped multilayered shaft are carried-out.

Keywords

• multilayered circular shaft
• delamination fracture
• material inhomogeneity
• torsion
• material non-linearity