×

A computational model of ceramic microstructures subjected to multiaxial dynamic loading. (English) Zbl 1013.74055

From the summary: We present a model for the dynamic finite element analysis of ceramic microstructures subjected to multiaxial dynamic loading. This model solves an initial-boundary value problem using a multibody contact model integrated with interface elements to simulate microcracking at grain boundaries and subsequent large sliding, opening and closing of microcracks. An explicit time integration scheme is adopted to integrate the system of spatially discretized ordinary differential equations. Finally, we carry out a systematic parametric study of the effect of interface element parameters, grain anisotropy, stochastic distribution of interface properties, grain size and grain morphology.

MSC:

74M25 Micromechanics of solids
74S05 Finite element methods applied to problems in solid mechanics
74R10 Brittle fracture
Full Text: DOI

References:

[1] Addessio, F.L., Johnson, J.N., 1989. A constitutive model for the dynamic response of brittle materials. LA-UR-89-2651, Los Alamos National Laboratory, Los Alamos, NM, USA.; Addessio, F.L., Johnson, J.N., 1989. A constitutive model for the dynamic response of brittle materials. LA-UR-89-2651, Los Alamos National Laboratory, Los Alamos, NM, USA.
[2] Bolander, J.; Saito, S., Fracture analyses using spring networks with random geometry, Engineering Fracture Mechanics, 61, 569-591 (1998)
[3] Bollmann, W., Crystal defects and crystalline interfaces (1970), Springer-Verlag: Springer-Verlag Berlin
[4] Camacho, G. T.; Ortiz, M., Computational modeling of impact damage in brittle materials, International Journal of Solids and Structures, 33, 2899-2938 (1996) · Zbl 0929.74101
[5] Clifton, R. J.; Klopp, 1985, Pressure-Shear Plate Impact Testing, Metals Handbook: Mechanical Testing, 8 (1985), Soc. Metals: Soc. Metals Metals Park
[6] Curran, D.; Seaman, L.; Cooper, T.; Shockey, D., Micromechanical model for comminution and granular flow of brittle material under high strain rate application to penetration of ceramic targets, International Journal of Impact Engineering, 13, 53-83 (1990)
[7] Espinosa, H. D.; Raiser, G.; Clifton, R. J.; Ortiz, M., Performance of the star-shape flyer in the study of brittle materials: Three dimensional computer simulations and experimental observations, Journal of Applied Physics, 72, 3451-3457 (1992)
[8] Espinosa, H. D., On the dynamic shear resistance of ceramic composites and its dependence on applied multiaxial deformation, International Journal of Solids and Structures, 32, 3105 (1995)
[9] Espinosa, H.D., 1992, Micromechanics of the dynamic response of ceramics and ceramic composites. Ph.D Thesis, Brown University.; Espinosa, H.D., 1992, Micromechanics of the dynamic response of ceramics and ceramic composites. Ph.D Thesis, Brown University.
[10] Espinosa, H.; Zavattieri, P.; Emore, G., Adaptive FEM Computation of geometric and material nonlinearities with application to brittle failure, Mechanics of Materials, 29, 275-305 (1998)
[11] Espinosa, H.; Zavattieri, P.; Dwivedi, S., A finite deformation continuum/discrete model for the description of fragmentation and damage in brittle materials, Journal of the Mechanics and Physics of Solids, 46, 10, 1909-1942 (1998) · Zbl 1056.74510
[12] Espinosa, H., Patanella, A., Xu Y., 2000a. Pressure-shear soft recovery experiments. Experimental Mechanics (submitted).; Espinosa, H., Patanella, A., Xu Y., 2000a. Pressure-shear soft recovery experiments. Experimental Mechanics (submitted).
[13] Espinosa, H.D., Dwivedi, S., Lu, H.-C., 2000b. Modeling impact induced delamination of woven fiber reinforcer composites with contact/cohesive laws. Computer Methods in Applied Mechanics and Engineering, special issue (in press).; Espinosa, H.D., Dwivedi, S., Lu, H.-C., 2000b. Modeling impact induced delamination of woven fiber reinforcer composites with contact/cohesive laws. Computer Methods in Applied Mechanics and Engineering, special issue (in press). · Zbl 0984.74074
[14] Ghosh, S.; Yunshan, L., Voronoi cell finite element model based on micropolar theory of thermoelasticity for heterogeneous materials, International Journal of Numerical Methods and Engineering, 38, 1361-1368 (1995) · Zbl 0823.73066
[15] Ghosh, S.; Nowak, Z.; Lee, K., Tessellation-based computational methods for the characterization and analysis of heterogeneous microstructures, Composite Science and Technology, 57, 1187-1210 (1997)
[16] Grah, M.; Alzebdeh, K.; Sheng, P.; Vaudin, M.; Bowman, K.; Ostoja-Starzewki, M., Brittle intergranular failure in 2D microstructures: experiments and computer simulations, Acta Materials, 44, 10, 4003-4018 (1996)
[17] Hearmon, R. F.S., The elastic constants of anisotropic materials II, Advances in Physics, 5, 323-382 (1956)
[18] Jiao, S.; Jenkins, M.; Davidge, R., Interfacial fracture energy-mechanical behavior relationship in \(Al_s O_3\)/SiC and \(Al_s O_3\)/TiN Nanocomposibes, Acta Materials, 45, 1, 149-156 (1997)
[19] Johnson, G. R.; Holmquist, T. J., A computational constitutive model for brittle materials subjected to large strains, high strain rates and high pressures, (Meyers, M. A.; Murr, L. E.; Staudhammer, K. P., Shock-Wave and High Strain Rate Phenomena in Materials (1992), Marcel Dekker: Marcel Dekker New York), 1075
[20] Kim, B.-N.; Wakayama, S.; Kawahara, M., Characterization of 2-dimensional crack propagation behavior by simulation and analysis, International Journal of Fracture, 75, 247-259 (1996)
[21] Lin, H.-T.; Alexander, K.; Becher, P., Grain size effect, on creep deformation of alumina-silicon carbide composites, Journal of the American Ceramics Society, 79, 6, 1530-1536 (1996)
[22] Liu, Y.; Kegayama, Y.; Murakami, S., Creep fracture modeling by use of continuum damage variable based on Voronoi simulation of grain boundary cavity, International Journal of the Mechancis of Science, 40, 2/3, 147-158 (1998) · Zbl 0898.73050
[23] Luo, J.; Stevens, R., The role of residual stress on the mechanical properties of \(Al_2 O_3\)−5 Vol.
[24] Miller, O.; Freund, L. B.; Needleman, A., Modeling and simulation of dynamic fragmentation in brittle materials, International Journal of Fracture, 96, 2, 101-125 (1999)
[25] Mullen, R. L.; Ballarini, R.; Yin, Y.; Heuer, A., Monte carlo simulation of effective elastic constants of polycrystalline thin films, Acta Materials, 45, 6, 2247-2255 (1997)
[26] Onck, P.; Van der Giessen, E., Growth of an initially sharp crack by grain boundary cavitation, Mechanics and Physics of Solids, 47, 99-139 (1999) · Zbl 0982.74060
[27] Ortiz, M.; Pandolfi, A., Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis, International Journal for Numerical Methods in Engineering, 44, 9, 1267-1282 (1999) · Zbl 0932.74067
[28] Ortiz, M.; Suresh, S., Statistical properties of residual stresses and intergranular fracture in ceramic materials, Journal of Applied Mechanics, 60, 77-88 (1993)
[29] Staroselsky, A.; Anand, L., Inelastic deformation of polycrystalline face centered cubic materials by slip and twinning, Journal of the Mechanics and Physics of Solids, 46, 4, 671-696 (1998) · Zbl 0971.74024
[30] Sternitzke, M., Review: Structural ceramic nanocomposites, Journal of the European Ceramic Society, 17, 1061-1082 (1997)
[31] Simpson, Y.; Carter, B., Faceting behavior of alumina in the presence of glass, Journal of the American Ceramics Society, 73, 8, 2391-2398 (1990)
[32] Tasker, P.; Duffy, D., Computer simulation of 〈001〉 tilt, grain boundaries in nickel oxide, Philos Magazine, 37, A, L45 (1983)
[33] Tvergaard, V., Effect of fibre debonding in a whisker-reinforced material, Materials Science and Engineering, A125, 203 (1990)
[34] Tvergaard, V.; Hutchinson, J., Microcracking in ceramics induced by thermal expansion or elastic anisotropy, Journal of the American Ceramics Society, 71, 3, 157-166 (1988)
[35] Underwood, E. E., Quantitative Stereology (1970), Addison-Wesley: Addison-Wesley Reading, MA
[36] Weibull, W.; Sweden, S., A statistical distribution function of wide applicability, Journal of Applied Mechanics, 18, 293-297 (1951) · Zbl 0042.37903
[37] Wolf, D., On the relationship between symmetrical tilt, special, and favored, grain boundaries, Journal de Physique, 4, 46, C4-197 (1984)
[38] Wu, M.; Niu, J., Micromechanical prediction of the compressive failure of ice: model development, Mechanics of Materials, 20, 9-32 (1995)
[39] Wu, M.; Niu, J., Micromechanical prediction of the compressive failure of ice: numerical simulations, Mechanics of Materials, 20, 33-58 (1995)
[40] Xu, X.-P.; Needleman, A., Numerical simulation of dynamic interfacial crack growth allowing for crack growth away from the bond line, International Journal of Fracture, 74, 253-275 (1995)
[41] Zhou, M.; Needleman, A.; Clifton, R. J., Finite element, simulations of shear localization in plate impact, Journal of the Mechanics and Physics of Solids, 42, 3, 423-458 (1994) · Zbl 0800.73368
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.