Analysis of dynamic damage propagation in discrete beam structures
| Autor: | Gennady Mishuris, Leonid I. Slepyan, Michael Nieves |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics
Wave propagation Applied Mathematics Mechanical Engineering Mathematical analysis 02 engineering and technology Wave speed Condensed Matter Physics Critical value 01 natural sciences Upper and lower bounds 010101 applied mathematics 020303 mechanical engineering & transports Sine wave Critical level TA 0203 mechanical engineering Mechanics of Materials Modeling and Simulation Lattice (order) General Materials Science 0101 mathematics Beam (structure) |
| Zdroj: | International Journal of Solids and Structures. :699-713 |
| ISSN: | 0020-7683 |
| DOI: | 10.1016/j.ijsolstr.2016.02.033 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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