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2 Rizov V. I.

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Analysis of delamination in two-dimensional functionally graded multilayered beam with non-linear behaviour of material

Rizov V. I.

Engineering Transactions

2018

Vol. 66, iss. 1

61--78

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.

Delamination fracture analyses of linear-elastic functionally graded beams

Rizov V. I.

Engineering Transactions

2017

Vol. 65, iss. 3

483--498

An analytical approach for investigation of delamination cracks in three-dimensional functionally graded linear-elastic beams was developed. Beams which are functionally graded along their width, height and length were analyzed. The fracture was studied in terms of the strain energy release rate. Beams loaded by a combination of bending moments and an axial force were considered. The approach was applied to determine the strain energy release rate for a delamination crack in a functionally graded beam of rectangular cross-section loaded in eccentric tension. An additional analysis was performed by using the beam strain energy for verification. The effects of material gradient and crack length on the delamination were evaluated.