Computational simulations of wave propagation in microcrack-damaged media under prestress
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Direct computational simulations of unidirectional wave propagation through uniaxially prestressed, microcrack-damaged media are conducted to study the interaction between the prestress and stress wave parameters. Tensile and compressive waves, tensile and compressive prestresses and various orientational distributions of microcrack damage are analyzed. The relationships among the input wave amplitude, wavelength and prestress magnitude and the output wave speed and wave attenuation are studied. The results show that wave speed and attenuation depend on the prestress and the wavelength in a complex way. In the cases of compressive waves traveling through tensile prestress and tensile waves passing through compressive prestress, the wave response depends on the ratio of the amplitude of the applied stress pulse to the magnitude of the prestress (defined as R). Specifically, the simulations show that the compressive wave speed through tensile prestressed media increases gradually with an increase in R, while the tensile wave speed in media under compressive prestress, decreases with increase in R, but the change is abrupt at a particular R value. In the cases of sufficiently small R, the wave speeds match the results of Su et al. (Eng Fract Mech 74:1436–1455, 2007) where the cracks are always open or always closed. However, above a certain wavelength (a cut-off wavelength), the wave speed is no longer a function of wavelength and, furthermore, this cut-off wavelength varies with R.
KeywordsMicro cracks Damage Waves Numerical simulation Prestress
This research was supported by the United States Army Research Laboratory through the Composite Materials Technology cooperative in agreement with the Center for Composite Materials at the University of Delaware.
- Auld BA (1973) Acoustic fields and waves in solids. Wiley, New YorkGoogle Scholar
- Bartoli I, Castellazzi G, Marzani A, Salamone S (2012) Prediction of stress waves propagation in progressively loaded seven wire strands. In: SPIE smart structures and materials+ nondestructive evaluation and health monitoring 2012 Apr 26 (pp. 834505–834505). International Society for Optics and PhotonicsGoogle Scholar
- Holmquist T, Johnson G (2003) Modeling projectile impact onto prestressed ceramic targets. In: Journal de Physique IV (Proceedings) 2003 Sep 1 (Vol. 110, pp. 597–602). EDP sciencesGoogle Scholar
- Holt R, Furre A, Horsrud P (1997) Stress dependent wave velocities in sedimentary rock cores: Why and why not? Int J Rock Mech Min Sci 34(128):128-e1–128-e12Google Scholar
- Levasseur S, Collin F, Charlier R, Kondo D (2011a) Anisotropic damage model with initial stresses for microcracked materials. In: Fifth international conference on advanced computational methods in engineering (ACOMEN 2011) 2011Google Scholar
- Shen F, Li Q, Li S (2001) Effects of stress and saturating fluids on wave propagation in porous-fractured rocks. In: AGU Fall Meeting Abstracts 2001 Dec (Vol. 1, p. 0597)Google Scholar
- Simulia (2009) Abaqus analysis user’s manual, version 6.9Google Scholar