Engineering Transactions, 68, 4, pp. 397–415, 2020

Analysis of Two Lengthwise Cracks in a Viscoelastic Inhomogeneous Beam Structure

Victor Iliev RIZOV
University of Architecture, Civil Engineering and Geodesy

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.
Keywords: inhomogeneous beam; viscoelastic behaviour; lengthwise crack
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DOI: 10.24423/EngTrans.1214.20201125

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Polish Academy of Sciences, Warsaw, Poland