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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 24
Edited by: B.H.V. Topping and M. Papadrakakis
Paper IX.3

Analysis of Cracked Beams by the Transfer Matrix Method

T. Kermanidis and G.A. Labeas

Mechanical Engineering Department, University of Patras, Patras, Greece

Full Bibliographic Reference for this paper
T. Kermanidis, G.A. Labeas, "Analysis of Cracked Beams by the Transfer Matrix Method", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Non-Linear Finite Element Methods", Civil-Comp Press, Edinburgh, UK, pp 311-317, 1994. doi:10.4203/ccp.24.9.3
A semi-analytical one-dimensional model based on the transfer matrix method is developed for cracked beams to calculate the near crack tip stress field and the stress intensity factors. The cracked beam is modelled as two beam parts separated by a fictitious elastic interlayer. The role of this interlayer is to transmit the peel and shear stresses between the two beam parts. The elastic properties of the interlayer are determined by matching the overall elastic properties of the original beam with those of the layered model. The near crack tip displacement and stress field are determined using the transfer matrix method. The stress intensity factors are calculated by extrapolation. Numerical results are presented for various beam geometries and loading conditions and are compared with those of existing beam models and those of two dimensional finite element analysis.

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