Abstract
Fracture of quasi-brittle materials such as concrete, rocks by impact, ceramics and calculi is known to occur due to the formation and development of microcracks. Microcracks reduce the macroscopic value of Young’s modulus of the material and hence reduce the wave speed when the dynamic problem is considered. By applying the continuum model for microcracking, nonlinear wave propagation is analyzed numerically for an infinite plate made of granite. The plate is subjected to an impact compressive stress at one surface. Another surface of the plate is assumed to be stress free. It is shown that the process forming the shock wave progresses near the stress-free surface by the occurrence of microcracks according to the tensile strain caused by the wave reflection.
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References
Charalambides PG, McMeeking RM (1987) Finite element method simulation of crack propagation in a brittle microcracking solid. Mechanics of Materials 6:71–87
Fu Y, Evans AG (1985) Some effects of microcracks on the mechanical properties of brittle solids-I. stress, strain relations. Acta Metal 33:1515–1523
Hashida T (1989) Private communication Li VC, Chan CM, Leung CKY (1987) Experimental determination of the tension-softening relations for cementitious composites. Cement and Concrete Research 17:441–452
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© 1992 Springer-Verlag Berlin Heidelberg
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Saka, M., Ohba, S., Abe, H. (1992). Nonlinear wave propagation and shock wave formation in quasi-brittle materials. In: Takayama, K. (eds) Shock Waves. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77648-9_58
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DOI: https://doi.org/10.1007/978-3-642-77648-9_58
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-77650-2
Online ISBN: 978-3-642-77648-9
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