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Analysis of two lengthwise cracks in a viscoelastic inhomogeneous beam structure

Rizov Victor Iliev

Engineering Transactions

2020

Vol. 68, iss. 4

397--415

The present paper considers the time-dependent fracture in a continuously inhomogeneous viscoelastic cantilever beam with two lengthwise cracks. Time-dependent analytical solutions to the strain energy release rate, which take into account the viscoelastic behaviour of the material, are derived. A rheological model with two springs and two dashpots is used for studying the viscoelastic behaviour of the beam. A stress-strain-time relationship is obtained for the case when the rheological model is loaded by stress that increases linearly with time up to a certain level and then it remains constant. The variation of the strain energy release rate with time is analysed.