Vol.18, No.3, 2018, pp. 163–170
624.016.072.21.04

Delamination in nonlinear elastic multilayered double cantilever beam configurations of triple functionally graded materials is studied. The beam under consideration has an arbitrary number of longitudinal layers. Each layer has individual thickness and material properties. Besides, the material in each layer is functionally graded along the thickness, width and length of layer. A delamination crack is located arbitrary along the height of beam cross-section. Thus, the crack arms have different thicknesses. The beam is loaded by two bending moments of different magnitudes applied at the free ends of crack arms. The nonlinear fracture behaviour is studied in terms of the strain energy release rate. The solution derived is verified by analyzing the delamination crack with the help of the J-integral method. The solutions obtained are applied to investigate the influences of various geometrical and material parameters on the nonlinear delamination fracture in the considered multi-layered triple functionally graded beam configuration.

Keywords: multilayered beam, nonlinear elastic material, delamination crack, functionally graded material, strain energy