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Analysis of dynamic damage propagation in discrete beam structures

Nieves, MJ and Mishuris, GS and Slepyan, LI (2016) Analysis of dynamic damage propagation in discrete beam structures. International journal of Solids and Structures. ISSN 0020-7683

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Abstract

In the last decade, signicant 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 a sinusoidal wave(s) 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.

Item Type: Article
Uncontrolled Keywords: 09 Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Divisions: Applied Mathematics
Publisher: Elsevier
Date Deposited: 11 Mar 2016 10:27
Last Modified: 12 Apr 2017 23:50
DOI or Identification number: 10.1016/j.ijsolstr.2016.02.033
URI: http://researchonline.ljmu.ac.uk/id/eprint/3157

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