Alternating strain regimes for failure propagation in flexural systems

M. Garau; M. J. Nieves; I. S. Jones

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arXiv · 1905.05681

Alternating strain regimes for failure propagation in flexural systems

M. Garau·M. J. Nieves·I. S. Jones

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Abstract

We consider both analytical and numerical studies of a steady-state fracture process inside a discrete mass-beam structure, composed of periodically placed masses connected by Euler-Bernoulli beams. A fault inside the structure is assumed to propagate with a constant speed and this occurs as a result of the action of a remote sinusoidal, mechanical load. The established regime of fracture corresponds to the case of an alternating generalised strain regime. The model is reduced to a Wiener-Hopf equation and its solution is presented. We determine the minimum feeding wave energy required for the steady-state fracture process to occur. In addition, we identify the dynamic features of the structure during the steady-state fracture regime. A transient analysis of this problem is also presented, where the existence of steady-state fracture regimes, revealed by the analytical model, are verified and the associated transient features of this process are discussed.

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M. Garau, M. J. Nieves, I. S. Jones. 2019-04-18. Alternating strain regimes for failure propagation in flexural systems. https://arxiv.org/abs/1905.05681

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