An analytical and numerical study of failure waves

International Journal of Solids and Structures

Volumn 36, Issue 26, 1999, Pages 3977-3991

  Chen, Z ^a   Xin, X ^a  

^a Department of Electrical Engineering and Computer Science   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPRESSIVE STRESS; DIFFUSION; ELASTICITY; FAILURE (MECHANICAL); MATHEMATICAL MODELS; MICROCRACKING; NUMERICAL METHODS; SHEAR STRESS; SOLIDS; WAVE PROPAGATION;

FAILURE WAVES; HUGONIOT ELASTIC LIMIT; LOCAL DILATATION; PARTITIONED MODELING APPROACH;

SHOCK WAVES;

EID: 0032641538     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(98)00183-8     Document Type: Article

References (40)

1. Bai, Y., Dodd, B., 1992. Adiabatic Shear Localization. Pergamon Press, New York.
2. Bebernes, J.W., Talaga, P., 1996. Nonlocal problems modeling shear banding. Communications on Applied Nonlinear Analysis 3, 79-103.
3. Bless, S.J., Brar, N.S., 1994. Impact induced fracture of glass bars. In: Schmidt, S.C., Shaner, J.W., Samana, G.A., Ross, M. (Eds.) , High-Pressure Science and Technology. AIP, New York, pp. 1813-1816.
4. Bourne, N.K., Rosenberg, Z., Field, J.E., 1995. High-speed photography of compressive failure waves in glasses. Journal of Applied Physics 78, 3736-3739.
5. Brannon, R.M., Drugan, W.J., 1993. Influence of non-classical elastic-plastic constitutive features on shock wave existence and spectral solutions. Journal of the Mechanics and Physics of Solids 41, 297-330.
6. Brar, N.S., Bless, S.J., Rosenberg, Z., 1991. Impact-induced failure waves in glass bars and plates. Applied Physics Letter 59, 3396-3398.
7. Camacho, G.T., Ortiz, M., 1996. Computational modeling of impact damage in brittle materials. International Journal of Solids and Structures 33, 2899-2938.
8. Chen, Z., 1993. A partitioned-solution method with moving boundaries for nonlocal plasticity. In: Kolymbas, D. (Ed.) , Modern Approaches to Plasticity. Elsevier, New York, NY, pp. 449-468.
9. Chen, Z., 1996. Continuous and discontinuous failure modes. Journal of Engineering Mechanics 122, 80-82.
10. Chen, Z., Clark, T., 1995. Some remarks on domain-transition problems. Archives of Mechanics 47, 499-512.
11. Chen, Z., Schreyer, H.L., 1990. Formulation and Computational Aspects of Plasticity and Damage Models with Application to Quasi-Brittle Materials. Technical Report SAND95-0329, Sandia National Laboratories, Albuquerque, NM.
12. Chen, Z., Schreyer, H.L., 1994. On nonlocal damage models for interface problems. International Journal of Solids and Structures 31, 1241-1261.
13. Chen, Z., Sulsky, D., 1995. A partitioned-modeling approach with moving jump conditions for localization. International Journal of Solids and Structures 32, 1893-1905.
14. Chen, Z., Wang, M.L., Lu, T., 1997. Study of tertiary creep of rock salt. Journal of engineering Mechanics 123, 77-82.
15. Clifton, R.J., 1993. Analysis of failure waves in glasses. Applied Mechanics Reviews 46, 540-546.
16. Espinosa, H.D., Emore, G., Zavattieri, P., 1996. Computational modeling of geometric and material nonlinearities with an application to impact damage in brittle materials. In: Clifton, R.J. and Espinosa. H.D. (Eds.) , Advances in Failure Mechanisms and Brittle materials. ASME/AMD-Vol. 219, New York, pp. 119-161.
17. Espinosa, H.D., Xu, Y., Brar, N.S., 1997a. Micromechanics of failure waves in glass: Experiments. Journal of the American Ceramic Society 80, 2061-2073.
18. Espinosa, H.D., Xu, Y., Brar, N.S., 1997b. Micromechanics of failure waves in glass: Modeling. Journal of the American Ceramic Society 80, 2074-2085.
19. Feng, R., Raiser, G.F., Gupta, Y.M., 1998. Material strength and inelastic deformation of silicon carbide under shock wave compression. Journal of Applied Physics 83, 79-86.
20. Gao, H., 1996. A theory of local limiting speed in dynamic fracture. Journal of the Mechanics and Physics of Solids 44, 1453-1474.
21. Grady, D.E., 1995a. Dynamic Properties of Ceramic Materials. Technical Report SAND94-3266, Sandia National Laboratories, Albuquerque, NM.
22. Grady, D.E., 1995b. Shock Properties of High-Strength Ceramics. Technical Memorandum TMD G0395, Sandia National Laboratories, Albuquerque, NM.
23. He, H., Ahrens, T.J., 1994. Mechanical properties of shock-damaged rocks. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts 31, 525-533.
24. Heuze, F.E., 1990. An overview of projectile penetration into geological materials, with emphasis on rocks. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts 27, 1-14.
25. John, F., 1982. Partial Differential Equations. Springer-Verlag, New York.
26. Kanel, G.I., Rasorenov, S.V., Fortov, V.E., 1991. The failure waves and spallations in homogeneous brittle materials. In: Schmidt, S.C., Dick, R.D., Forbes, J.W., Tasker, D.G. (Eds.) , Shock Compression of Condensed Matter. Elsevier, New York, pp. 451-454.
27. Pi jaudier-Cabot, G., Bode, L., 1995. Arbitrary Lagrangian-Eulerian finite element analysis of strain localization in transient problems. International Journal for Numerical Methods in Engineering 38, 4171-4191.
28. Pradeilles-Duval, R.M., Claude, S., 1995. Mechanical transformations and discontinuities along a moving surface. Journal of the Mechanics and Physics of Solids 43, 91-121.
29. Raiser, G., Clifton, R.J., 1994. Failure waves in uniaxial compression of an aluminosilicate glass. In: Schmidt, S.C., Shaner, J.W., Samana, G. A., Ross, M (Eds.) , High-Pressure Science and Technology. AIP, New York, NY, pp. 1039-1042.
30. Raiser, G.F., Wise, J.L., Clifton, R.J., Grady, D. E., Cox, D.E., 1994. Plate impact response of ceramics and glasses. Journal of Applied Physics 75, 3862-3869.
31. Rajendran, A.M., 1996. Modeling the impact behavior of high strength ceramics. International Journal of Impact Engineering 18, 611-631.
32. Rajendran, A.M., Last, H.R., Garrett, R.K., Jr., 1995. Plastic Flow and Failure in HY100, HY130 and AF1410 Alloy Steels under High Strain Rate and Impact Loading Conditions. Technical Report ARL-TR-687, Army Research Laboratory, Watertown, MA.
33. Rosenberg, Z., Bourne, N.K., Millett, J.C.F., 1996. Direct measurements of strain in shock-loaded glass specimens. Journal of Applied Physics 79, 3971-3974.
34. Sekine, T., Duffy, T.S., Rubin, A.M., Anderson, W.W., Ahrens, T.J., 1995. Shock compression and isentropic release of granite. Geophysical Journal International 120, 247-261.
35. Sulsky, D., Chen, Z., Schreyer, H.L., 1994. A particle method for history-dependent materials. Computer Methods in Applied Mechanics and Engineering 118, 179-196.
36. Sundaram, S., Clifton, R.J., 1996. Pressure-shear impact investigation of the dynamic response of ceramics. In: Clifton, R.J., Espinosa, H.D (Eds.) , Advances in Failure Mechanisms in Brittle Materials. ASME/AMD-Vol. 219, New York, NY, pp. 59-80.
37. Tzou, D.Y., 1989. On the thermal shock wave induced by a moving heat source. ASME Journal of Heat Transfer 111, 232-238.
38. Tzou, D.Y., 1997. Macro- to Microscale heat Transfer: The Lagging Behavior. Taylor and Francis, Washington, DC.
39. Zhou, M., Needleman, A., Clifton, R.J., 1994. Finite element simulation of shear localization in plate impact. Journal of the Mechanics and Physics of Solids 42, 423-458.
40. Zukas, J.A.,Nicholas, T., Swift, H.F., Greszczuk, L.B., Curran, D.R., 1992. Impact Dynamics. Krieger Publishing Company, Malabar, FL.