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.
Highlights
The delamination fracture behaviour of layered materials and structures has been the subject of investigation by many researchers from both theoretical and applied standpoints in the last few decades
The methodology for analyzing the strain energy release rate developed in section 2 of the present paper is applied here to investigate delamination fracture behaviour of a clamped multilayered circular shaft loaded in torsion
The non-linear elastic behaviour of the material is treated by the Ramberg-Osgood constitutive law assuming that the three material properties involved in the constitutive law vary continuously in radial direction in each layer
Summary
The delamination fracture behaviour of layered materials and structures has been the subject of investigation by many researchers from both theoretical and applied standpoints in the last few decades. The delamination phenomenon is studied usually in terms of the strain energy release rate by assuming linear-elastic behaviour of the material [1]. The main objective is to develop a methodology for determination of the strain energy release rate when the non-linear elastic behaviour of the material is described by the Rambeg-Osgood constitutive equation assuming that the three material properties involved in the constitutive equation vary gradually in radial direction in contrast to previous studies which deal with the case when only one material property (usually, the shear modulus) vary in radial direction [18]
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