Summary
A two-dimensional mixture theory is developed for wave-propagation in a laminated composite material. The formulated theory is applied for the treatment of a semiinfinite crack propagating in the composite in mode-I and II types of motion. The maximum velocity of the crack tip is determined by the minimum value of the dispersion curves of the relevant generalized Rayleigh waves in the medium. A numerical procedure is applied for the determination of the dynamic stress fields induced by the propagating crack in a laminated composite made of glass-epoxy layers.
Zusammenfassung
Eine zweidimensionale Mischungstheorie wird für die Wellenausbreitung in einem geschichteten kompositen Material entwickelt. Die formulierte Theorie wird für die Behandlung einer halbunendlichen Rißausbreitung im Komposit in Mode-I und II Bewegungsformen angewendet. Das Geschwindigkeitsmaximum der Rißspitze wird durch den minimalen Wert der Dispersionskurve der entsprechenden verallgemeinerten Rayleigh-Wellen im Medium bestimmt. Ein numerisches Verfahren wird angewendet für die Bestimmung der dynamischen Spannungsfelder hervorgerufen durch den ausbreitenden Riß in einem geschichteten Komposit aus Glas-Epoxy-Lagen.
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Benveniste, Y., Aboudi, J. Crack propagation in a laminated composite material modeled by a two-dimensional mixture theory. Acta Mechanica 29, 213–227 (1978). https://doi.org/10.1007/BF01176638
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DOI: https://doi.org/10.1007/BF01176638