Analysis of dynamic damage propagation in discrete beam structures

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:97-98

Article

Nieves, M. J.¹  Mishuris, G. S.²  Slepyan, L. I.³ 

[1] Liverpool John Moores Univ, Mech Engn & Mat Res Ctr, James Parsons Bldg,Byrom St, Liverpool L3 3AF, Merseyside, England

[2] Aberystwyth Univ, Dept Math, Aberystwyth SY23 3FG, Dyfed, Wales

[3] Tel Aviv Univ, Sch Mech Engn, Tel Aviv, Israel

关键词: Beam structures;    Waves and fracture;    Discrete media;    Wiener-Hopf technique;   

DOI  :  10.1016/j.ijsolstr.2016.02.033

来源: Elsevier

【 摘 要 】

In the last decade, significant theoretical advances were obtained for steady-state fracture propagation in spring-mass lattice structures, that also revealed surprising fracture regimes. Very few articles exist, however, on the dynamic fracture processes in lattices composed of beams. In this paper we analyse a failure (feeding) wave propagating in a beam-made lattice strip with periodically placed point masses. The fracture occurs when the strain of the supporting beam reaches the critical value. The problem reduces to a Wiener-Hopf equation, from which the complete solution is obtained. Two cases are considered when the feeding wave transmits into the intact structure as sinusoidal waves or only as an evanescent wave. For both cases, a complete analysis of the strain inside the structure is presented. We determine the critical level of the feeding wave, below which the steady-state regime does not exist, and its connections to the feeding wave parameters and the failure wave speed. The accompanied dynamic effects are also discussed. Amongst much else, we show that the switch between the two considered regimes introduces a rapid change in the minimum energy required for the failure wave to propagate steadily. The failure wave developing under an incident sinusoidal wave is remarkable due to the fact that there is an upper bound of the domain where the steady-state regime exists. In the present paper, only the latter is examined; the alternative regimes are considered separately. (C) 2016 Elsevier Ltd. All rights reserved.

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