Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.ijimpeng.2008.01.001
DC FieldValue
dc.titleElastic stress transmission in cellular systems-Analysis of wave propagation
dc.contributor.authorShim, V.P.W.
dc.contributor.authorGuo, Y.B.
dc.contributor.authorLan, R.
dc.date.accessioned2014-06-17T06:19:35Z
dc.date.available2014-06-17T06:19:35Z
dc.date.issued2008-08
dc.identifier.citationShim, V.P.W., Guo, Y.B., Lan, R. (2008-08). Elastic stress transmission in cellular systems-Analysis of wave propagation. International Journal of Impact Engineering 35 (8) : 845-869. ScholarBank@NUS Repository. https://doi.org/10.1016/j.ijimpeng.2008.01.001
dc.identifier.issn0734743X
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/60132
dc.description.abstractA closely packed array of thin-walled rings constitutes an idealisation of a cellular structure. Elastic waves propagating through such structures must do so via the ring (cell) walls. A theoretical investigation into the propagation of elastic stresses in thin-walled circular rings is undertaken to examine the nature of wave transmission. Three modes of motion, corresponding to shear, extensional and flexural waves, are established and their respective velocities defined by a cubic characteristic equation. The results show that all three waves are dispersive. By neglecting extension of the centroidal axis and rotary inertia, explicit approximate solutions can be obtained for flexural waves. Employment of Love's approach for extensional waves [Love AEH. A treatise on the mathematical theory of elasticity, 4th ed. New York: Dover Publications; 1944. p. 452-3] enables approximate solutions for shear waves to be derived. The three resulting approximate solutions exhibit good agreement with the exact solutions of the characteristic equation over a wide range of wavelengths. The effects of material property, ring wall thickness and ring diameter on the three wave modes are discussed, and the results point to flexural waves as the dominant means of elastic energy transmission in such cellular structures. Wave velocities corresponding to different frequency components determined from experimental results are compared with theoretical predictions of group velocity for flexural waves and good correlation between experimental data and theory affirms this conclusion. © 2008 Elsevier Ltd. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.ijimpeng.2008.01.001
dc.sourceScopus
dc.subjectCellular structures
dc.subjectDispersion
dc.subjectElastic wave propagation
dc.subjectFlexural waves
dc.typeArticle
dc.contributor.departmentMECHANICAL ENGINEERING
dc.description.doi10.1016/j.ijimpeng.2008.01.001
dc.description.sourcetitleInternational Journal of Impact Engineering
dc.description.volume35
dc.description.issue8
dc.description.page845-869
dc.description.codenIJIED
dc.identifier.isiut000257000100018
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