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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.

Computational problems of FE-analysis of elastic-plastic surface structures

Bielski J, Radwańska M.

Computer Assisted Mechanics and Engineering Sciences

2001

Vol. 8, No. 1

17-44

The paper contains a review of problems connected with numerical analysis of elastic-plastic surface structures. Given is detailed information about finite elements as well as about the algorithm of physically non-linear analysis using the incremental-iterative Newton-Raphson method with the consistent modular matrix. The main goal of the paper is to compare numerical results obtained with elements based on either the volume or area approach to the formulation of physical relations. The presented examples are obtained with the use of computer code MANKA. They illustrate some numerical problems induced by elastic-plastic deformation of chosen types of plates.