Engineering Transactions, 66, 1, pp. 61–78, 2018

Analysis of Delamination in Two-Dimensional Functionally Graded Multilayered Beam with Non-Linear Behaviour of Material

Victor Iliev RIZOV
University of Architecture, Civil Engineering and Geodesy

An analytical study of delamination fracture in a two-dimensional functionally graded multilayered beam exhibiting material non-linearity is carried-out. The beam is made of adhesively bonded horizontal layers. The material is two-dimensional functionally graded in the cross-section of each layer. A delamination crack is located symmetrically with respect to the beam mid-span. The delamination is studied in terms of the strain energy release rate. The solution derived is compared with the J-integral for verification. The effects of material gradients, the crack location along the beam height and the material non-linearity on the delamination fracture are investigated. The distribution of the J-integral value along the crack front is analysed too.
Keywords: two-dimensional functionally graded material; multilayered beam; delamination; material non-linearity; analytical solution
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