Alternating Strain Regimes for Failure Propagation in Flexural Systems
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.
|Acceptance Date||Mar 16, 2019|
|Publication Date||May 13, 2019|
|Journal||The Quarterly Journal of Mechanics and Applied Mathematics|
|Publisher||Oxford University Press|
|Pages||305 - 339|
|Keywords||Discrete periodic media, mass-beam structures, fracture, Wiener-Hopf technique, numerical simulations.|
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