Alternating Strain Regimes for Failure Propagation in Flexural Systems. Issue 3 (13th May 2019)

• Record Type: Journal Article
• Authors: Garau, M; Nieves, M J; Jones, I S
• Is Part Of: Quarterly journal of mechanics and applied mathematics. Volume 72:Issue 3(2019:Aug.)
• Page Start: 305
• Page End: 339
• Publication Date: 2019-05-13
• Subjects: Mechanics -- Mathematics -- Periodicals; Applied mathematics -- Periodicals; 530.1
• DOI: 10.1093/qjmam/hbz008
• Languages: English
• ISSNs: 0033-5614

Abstract

Summary: 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.