The use of sphere indentation experiments to characterize ceramic damage models

International Journal of Applied Ceramic Technology

Volumn 7, Issue 5, 2010, Pages 606-615

  Leavy, R Brian ^a   Brannon, Rebecca M ^b   Strack, O Erik ^c  

^a U S ARMY RESEARCH LABORATORY   (United States)

^b UNIVERSITY OF UTAH   (United States)

^c SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMMONLY USED; DAMAGE MODEL; DYNAMIC EXPERIMENT; EXPERIMENTAL OBSERVATION; IMPACT EXPERIMENT; MATERIAL MODELS; MICRO-SCALE HETEROGENEITY; MICRO-SCALES; MODEL CALIBRATION; PLATE IMPACT; SCALE EFFECTS; SPHERE INDENTATION; SPHERICAL INDENTATIONS; STANDARD DEVIATION; STATISTICAL VARIABILITY; STRENGTH AND TOUGHNESS; TRIAXIAL COMPRESSION; X-RAY COMPUTED TOMOGRAPHY;

CERAMIC MATERIALS; COMPUTERIZED TOMOGRAPHY; EXPERIMENTS; STRESS CONCENTRATION;

SPHERES;

EID: 77957296386     PISSN: 1546542X     EISSN: 17447402     Source Type: Journal    
DOI: 10.1111/j.1744-7402.2010.02487.x     Document Type: Article

References (53)

1. G. R. Johnson T. J. Holmquist, A Computational Constitutive Model for Brittle Materials Subjected to Large Strains, High Strain Rates and High Pressures, Dekker, New York, 1990, 1075 pp.
2. D. Templeton, et al. A Comparison of Ceramic Material Models Ceramic Armor Materials by Design, ed., J. W. McCauley. Vol. 134, 11 18. Ceramic Transactions, Cocoa Beach, FL, 2002.
3. G. E. Hauver, et al. Interface Defeat of Long-Rod Projectiles by Ceramic Armor, Army Research Lab, Aberdeen Proving Ground, MD, 2005.
4. P. Lundberg B. Lundberg Transition Between Interface Defeat and Penetration for Tungsten Projectiles and Four Silicon Carbide Materials Int. J. Impact Eng., 31 [7] 781 792 (2005).
5. D. L. Orphal R. R. Franzen Penetration of Confined Silicon Carbide Targets by Tungsten Long Rods at Impact Velocities from 1.5 to 4.6 km/s Int. J. mpact Eng., 19 [1] 1 13 (1997).
6. C. E. Anderson, et al Re-Examination of the Evidence for a Failure Wave in SiC Penetration Experiments Int. J. Impact Eng., 33 [1-12] 24 34 (2006).
7. T. J. Holmquist G. R. Johnson Characterization and Evaluation of Silicon Carbide for High-Velocity Impact J. Appl. Phy., 97 [9] 093502 (2005).
8. E. S. C. Chin J. W. McCauley Armor Materials by Design 45th Sagamore Conference Proceedings, ed., J. W. McCauley. Army Research Laboratory, St. Michaels, MD, 1 170, 2001.
9. J. W. McCauley Ceramic Armor Materials by Design PAC RIM 4, ed., J. W. McCauley. Vol. 134. Ceramic Transactions, Maui, HI, 113 138, 2002.
10. M. J. Normandia W. Gooch, A Overview of Ballistic Testing Methods of Ceramic Materials, 113 138. PAC RIM 4, Maui, HI, 2001.
11. C. D. Donaldson, R. M. Contiliano C. V. Swanson, The Qualification of Target Materials using the Integral Theory of Impact, Aeronautical Research Associates of Princeton Inc., Princeton, NJ, 1977.
12. C. D. Donaldson T. B. McDonough, A Simple Integral Theory for Impact Cratering by High Speed Particles, Aeronautical Research Associates of Princeton Inc., Princeton, NJ, 1973.
13. J. Sternberg Material Properties Determining the Resistance of Ceramics to High Velocity Penetration J. Appl. Phy., 65 [9] 3417 3424 (1989).
14. D. A. Shockey, et al Particle Impact Damage in Silicon Nitride J. Am. Ceram. Soc., 73 [6] 1613 1619 (1990).
15. D. K. Kim, C. S. Lee Y. G. Kim, Dynamic Indentation Damage of Ceramics, 261 268, American Ceramic Society, Maui, HI, 2001.
16. W. Herrmann A. H. Jones, Survey of Hypervelocity Impact Information, MIT Aeroelastic and Structures Research Laboratory, Cambridge, MA, 1961.
17. W. Goldsmith, "Impact, The Theory and Physical Behavior of Colliding Solids," Edward Arnold Publishers, London, 1960.
18. R. L. Martineau, M. B. Prime T. Duffey Penetration of HSLA-100 Steel with Tungsten Carbide Spheres at Striking Velocities Between 0.8 and 2.5 km/s Int. J. Impact Eng., 30 [5] 505 520 (2004).
19. B. R. Lawn Indentation of Ceramics with Spheres: A Century After Hertz J. Am. Ceram. Soc., 81 [8] 1977 1994 (1998).
20. W. J. Stronge, Impact Mechanics, Vol. 100. Cambridge University Press, New York, 2000.
21. A. C. Fischer-Cripps, et al Introduction to Contact Mechanics. Mechanical Engineering Series Appl. Mech. Rev., 55 [3] B51 B51 (2002).
22. Y. Tanabe, et al. An Overview of Impact Damages in Ceramic Materials - For Impact Velocity Below 2 km/s, Vol. 19. Tokyo Institute of Technology, Tokyo, Japan, 1994.
23. R. M. Brannon, J. M. Wells O. Erik Strack Validating Theories for Brittle Damage Metall. Mater. Trans. A, 38 [12] 2861 2868 (2007).
24. R. M. Summers, et al Recent Progress in ALEGRA Development and Application to Ballistic Impacts Int. J. Impact Eng., 20 [6-10] 779 788 (1997).
25. A. F. Fossum R. M. Brannon, The Sandia Geomodel: Theory and User's Guide SAND2004-3226, Sandia National Laboratories, Albuquerque, MN, 2004.
26. R. M. Brannon The Influence of Uncertainty in Crack or Slip Plane Orientations On Cracking or Localization Probabilities 9th ASCE Specialty Conference on Probabilistic Mechanics and Structural Reliability, eds., S. Wojtkiewicz, J. Red-Horse, and R. Ghanem. American Society of Civil Engineers, Albuquerque, NM, 26 28, 2004.
27. O. E. Strack, R. M. Brannon R. P. Jensen Spatial Statistics of Material Strength to Address Mesh Dependency of Conventional Damage Models, Part II: Validation and Application J. Appl. Phy. 2008) in press.
28. W. Weibull A Statistical Distribution Function of Wide Applicability J. Appl. Mech., 18 293 297 (1951).
29. Z. P. Bažant J. Planas, Fracture and Size Effect in Concrete and Other Quasibrittle Materials, CRC Press LLC, Boca Raton, FL, 1998.
30. Z. P. Bažant Role of Deterministic and Statistical Length Scales in Size Effect for Quasibrittle Failure at Crack Initiation 9th International Conference on Structural Safety and Reliability, Safety and Reliability of Engineering Systems and Structures, eds., G. Augusti and G. I. Schuëller. IOS Press, Rome, Italy, 411 415, 2005.
31. K. Trustum A. D. S. Jayatilaka On Estimating the Weibull Modulus for a Brittle Material J. Mater. Sci., 14 1080 1084 (1979).
32. F. Zhou J.-F. Molinari Stochastic Fracture of Ceramics Under Dynamic Tensile Loading Int. J. Solids Struct., 41 6573 6596 (2004).
33. D. E. Grady Shock-Wave Properties of Brittle Solids Shock Compression of Condensed Matter, Vol. 370. eds., S. C. Schmidt W. C. Tao. AIP, Melville, NY, 9 20, 1996.
34. T. J. Vogler, et al Hugoniot and Strength Behavior of Silicon Carbide J. Appl. Phy., 99 [2] 023512 (2006).
35. D. Dandekar, A Survey of Compression Studies of Silicon Carbide ARL-TR-2695, Army Research Lab, Aberdeen Testing Ground, NM, 2004.
36. T. J. Holmquist, et al. A Ceramic Armor Material Database A629263, TACOM, Warren, MI, 1999.
37. G. R. Johnson T. J. Holmquist An Improved Computational Constitutive Model for Brittle Materials AIP Conference Proceeding 1993, Vol. 309. High-Pressure Science and Technology, 981 984, 1994.
38. J. M. Duncan State of the Art: Limit Equilibrium and Finite-Element Analysis of Slopes J. Geotech. Eng., 122 [7] 577 596 (1996).
39. C. E. Anderson I. S. Chocron Constitutive Model for In-Situ Comminuted Silicon Carbide 32th International Ceramics and Composites. ed., L. P. Franks. Ceramic Engineering and Science Proceedings, Daytona Beach, FL, 1280 1286, 2008.
40. R. M. Brannon, M. Y. Lee D. R. Bronowski, Uniaxial and Triaxial Compression Tests of Silicon Carbide Ceramics Under Quasi-Static Loading Condition, SAND2004-6005, Sandia National Laboratories, Albuquerque, NM, 2005.
41. R. M. Brannon, A. F. Fossum O. E. Strack, Kayenta: Theory and User's Guide, Sandia National Laboratories, Albuquerque, NM, 2009.
42. R. M. Brannon, O. E. Strack M. Y. Lee Spatial Statistics of Material Strength to Address Mesh Dependency of Conventional Damage Models, Part I: Theory and Experiment J. Appl. Mech. 2008) in press.
43. Y. D. Murray, Users Manual for LS-DYNA Concrete Material Model 159, FAA report μFHWA-HRT-05-062. Federal Highway Administration, Springfield, VA, 2007.
44. R. M. Brannon, Aleatory Uncertainty in Simulations of Failure and Fragmentation, Invited Seminar, Purdue University, West Lafayette, Indiana, 2007.
45. T. J. Vogler, W. D. Reinhart L. C. Chhabildas Dynamic Behavior of Boron Carbide J. Appl. Phy., 95 [8] 4173 4183 (2004).
46. M. Timmel, et al A Finite Element Model for Impact Simulation with Laminated Glass Int. J. Impact Eng., 34 1465 1478 (2007).
47. 2", Ceramic Engineering and Science Proceedings, Vol. 26, Cocoa Beach, FL, 170-181, 2005.
48. J. C. LaSalvia, et al. "Sphere Impact Induced Damage in Ceramics: II. Armor-Grade B4C and WC", Ceramic Engineering and Science Proceedings, Vol. 26, Cocoa Beach, FL, 183-192, 2005.
49. H. T. Miller, W. H. Green J. C. LaSalvia Ballistically Induced Damage in Ceramic Targets as Revealed by X-ray Computed Tomography 31st International Conference on Advanced Ceramics and Composites. ed., J. S. Jeffrey. Ceramic Engineering and Science Proceedings, Cocoa Beach, FL, 193 202, 2007.
50. J. M. Duncan, "Friction Angles for Sand, Gravel and Rockfill," Kenneth L. Lee Memorial Seminar, Long Beach, CA, 2004.
51. T. J. Holmquist G. R. Johnson Characterization and Evaluation of Boron Carbide for Plate-Impact Conditions J. Appl. Phy., 100 [9] 093525 (2006).
52. H. Wang K. T. Ramesh Dynamic Strength and Fragmentation of Hot-Pressed Silicon Carbide Under Uniaxial Compression Acta Mater., 52 [2] 355 367 (2004).
53. B. Paliwal K. T. Ramesh Effect of Crack Growth Dynamics on the Rate-Sensitive Behavior of Hot-Pressed Boron Carbide Script. Mater., 57 [6] 481 484 (2007).