Alternating strain regimes for failure propagation in flexural systems
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.
Cite
@article{arxiv.1905.05681,
title = {Alternating strain regimes for failure propagation in flexural systems},
author = {M. Garau and M. J. Nieves and I. S. Jones},
journal= {arXiv preprint arXiv:1905.05681},
year = {2019}
}
Comments
37 pages, 13 figures