Non-linear delamination fracture in multilayered two-dimensional unsymmetrical functionally graded beam

摘要

The present paper analyses the delamination fracture behavior of a multilayered two-dimensional unsymmetrical functionally graded cantilever beam configuration. The beam is made of arbitrary number of adhesively bonded vertical layers. A delamination crack is located arbitrary between layers. Thus, the crack arms have different widths. The layers have individual widths and material properties. It is assumed that the material is two-dimensional unsymmetrical functionally graded (a power law is used to describe the variation of the material property in both width and height directions in the cross-section of each layer). The fracture analysis is carried-out assuming non-linear behavior of the material. The delamination fracture behavior is studied in terms of the strain energy release rate. A comparison with the J-integral approach is performed for verification. Parametric investigations are carried-out in order to examine the effects of material gradients in both width and height directions of the layers, crack location along the width of the beam cross-section and the non-linear behavior of the material on the delamination fracture. The results obtained indicate that the delamination fracture performance can be optimized by choosing suitable material gradients and exponents in the design stage of the multilayered two-dimensional unsymmetrical functionally graded beam structure.