The modeling of the shock response of powdered ceramic materials. (English) Zbl 1138.74351
Summary: A two-cap constitutive model that incorporates inelastic yielding, frictional sliding, and densification was modified for shock-loading applications, and used to model shock-wave propagation of a powdered ceramic that is constrained by aluminum layers in a system, which is impacted by a flyer plate. The numerical results included analyses of the effects of shock stress amplitudes on densification, unloading behaviors, stress attenuation and dispersion, and stress and pressure distributions. An understanding of how interfacial impedances affect shock-front attenuation, dispersion, and propagation were obtained through modeling different shock-load conditions. The constitutive and computational models were validated with detailed simulations of shock-front experiments pertaining to powdered ceramics. It is shown how shock amplitude duration and rise time are related to stress evolution, and how physically limiting values result in inelastic damage. This analysis underscores how modeling with the appropriate constitutive description can provide insights on how powdered ceramics behave under impact-loading conditions.
Keywords:
Powdered ceramic; alumina; shock response; wave propagation; computational formulation; plate impact; two-cap model; inelastic yielding; shock-dependent plasticityReferences:
| [1] | Addessio, FL; Johnson, JN, A constitutive model for the dynamic response of brittle materials, J Appl Phys, 67, 7, 3275-3286 (1990) |
| [2] | Altair HyperWorks, Version 5.0 (2001) Altair Eng, Inc., Troy, Michigan |
| [3] | Antoun, TH; Lomov, IN; Glenn, LA, Simulation of the penetration of a sequence of bombs into granitic rock, Int. J Impact Eng, 29, 1-10, 81-94 (2003) |
| [4] | Cook, WH; Rajendran, AM; Grove, DJ, An Efficient numerical implementation of Bodner-partom model in EPIC-Code, J Eng Fract Mech, 41, 5, 607-623 (1992) |
| [5] | Costin, LS, A microcrack model for the deformation and failure of brittle rock, J Geophys Res, 88, Nb11, 9485-9492 (1983) |
| [6] | Curran, DR; Cooper, T., Modeling the comminution and flow of granular brittle material, J De Physique IV, 110, 45-50 (2003) |
| [7] | Espinosa, HD; Zavattieri, PD; Dwivedi, SK, A finite deformation continuum discrete model for the description of fragmentation and damage in brittle materials, J Mech Phys Solids, 46, 10, 1909-1942 (1998) · Zbl 1056.74510 |
| [8] | Grove DJ, Rajendran AM (1995) Effects of pulverized material strength on penetration resistance of ceramic targets, shock compression of condensed matter, Eds. SC Schmidt and WC Tao, AIP Press, 1143-1146 |
| [9] | Johnson G, Holmquist TJ (1994) An improved computational constitutive model for brittle materials, in High-Pressure Science and Technology-1993, Part 2, AIP Press, 981-984 |
| [10] | Keller, AR; Zhou, M., Effect of Microstructure on Dynamic failure resistance of Titanium Diboride/Alumina Ceramics, J American Ceramic Society, 86, 3, 449-457 (2003) |
| [11] | Lewis, RW; Khoei, AR, A Plasticity Model for Metal Powder Forming Process, Int J Plasticity, 17, 12, 1659-1692 (2001) · Zbl 1021.74004 |
| [12] | Li, L.; Aubertin, M., A general relationship between porosity and uniaxial strength of engineering materials, canadian J Civil Eng, 30, 4, 644-658 (2003) |
| [13] | LS-DYNA, Version 970 (2003) Livermore Software Technology Corp., Livermore, California |
| [14] | McCauley, Ceramic Transactions, 134, 281 (2002) |
| [15] | Nemat-Nasser, S.; Zhang, JH, Constitutive relations for cohesionless frictional granular materials, Int J Plasticity, 18, 4, 531-547 (2002) · Zbl 1094.74565 |
| [16] | Rajendran, AM; Kroupa, JL, Impact damage model for ceramic materials, J Appl Phys, 8, 66, 3560-3565 (1989) |
| [17] | Rajendran, AM, Modeling the impact behavior of AD85 ceramic under multiaxial loading, Int J Impact Eng, 15, 6, 749-768 (1994) |
| [18] | Rajendran, AM; Grove, DJ, Modeling the Shock Response of Silicon Carbide, Boron Carbide, and Titanium Diboride, Int J Impact Eng, 18, 6, 611-631 (1996) |
| [19] | Rajendran AM (2002) Historical perspective on ceramic materials damage models, in ceramic armor materials by design, (Eds). McCauley J, Crowson , Gooch W, Rajendran AM, Bless SJ, Logan KV, Normandia M, and Wax S, Ceramic Transactions, Vol. 134, The American Ceramic Society Publications |
| [20] | Rajendran AM, Grove DJ (2002) Computational modeling of shock and impact response of Alumina, CMES, 3(3)367-380 · Zbl 1004.74501 |
| [21] | Ravichandran, G (2004) Experimental measurements of the shockresponse of powdered ceramics, in preparation. |
| [22] | Rosenberg, Z., On The relation between the hugoniot elastic limit and the yield strength of brittle materials, J Appl Phys, 74, 1, 752-753 (1993) |
| [23] | Simha HM (1998) High rate loading of a high purity ceramic ndash; one dimensional stress experiments and constitutive modeling, Ph.D. Thesis, University of Texas at Austin, TX |
| [24] | Steinberg DJ (1992) Computer studies of the dynamic strength of ceramics, shock compression of condensed matter, Elsevier Science, 447-450 |
| [25] | Zaretsky, EB; Paris, VE; Kanel, GI; Savinykh, AS, Evidences of ductile and brittle responses of ceramics under shock wave loading, J De Physique IV, 110, 917-922 (2003) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
