Computational micromechanics

Computational Mechanics

Volumn 18, Issue 5, 1996, Pages 321-338

  Ortiz, M ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BRITTLE FRACTURE; CRACK PROPAGATION; CRYSTALS; DISLOCATIONS (CRYSTALS); INTERMETALLICS; MATHEMATICAL MODELS; MECHANICAL PROPERTIES; METALS;

ATOMISTIC SCALES; CONTINUUM SCALES; MULTIPLE-SCALE PROBLEMS;

COMPOSITE MICROMECHANICS;

EID: 0030231769     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00376129     Document Type: Article

References (97)

1. Ortiz, M.; Shih, C. F. (Eds.): Proc. of the IUTAM Symposium on Computational Mechanics of Materials, Brown University, Providence, RI, USA, June 15-1-8, 1993, volume 2. Modelling and Simulation in Materials Science and Engineering
2. Ahrens, T. J.; Rubin, A. M. 1983: Impact-Induced Tensional Failure in Rock. Journal of Geophysics Research, 98: 1185-1203
3. Argon, A. S. 1987: Brittle to Ductile Transition in Cleavage Fracture. Acta Metallurgica 35: 185-196
4. Asaro, R.J.; Needleman, A. 1985: Overview 42. Texture Development and Strain-Hardening in Rate-Dependent Polycrystals. Acta Metallurgica, 33: 923-953
5. Backman, M. E.; Goldsmith, W. 1978: The Mechanics of Penetration of Projectiles into Targets. International Journal of Engineering Science, 16: 1-99
6. Baskes, M. I.; Hoagland, R. G.; Needleman, A. 1992: Summary Report-Computational Issue in the Mechanical Behavior of Metals and Intermetallics. Materials Science and Engineering, A159: 1-34
7. Bauer, R. W.; Wilsdorf, H. G. F. 1973: Void Initiation in Ductile Fracture. Scripta Metallurgica 7: 1213-1220
8. Brede, M.; Haasen, P. 1988: The Brittle-to-Ductile Transition in Doped Silicon as a Model Substance. Acta Metallurgica, 36: 2003-2018
9. Brede, M., Hsia, K. J.; Argon, A. S. 1991: Brittle Crack Propagation in Silicon Single Crystals. Journal of Applied Physics, 70: 758-771
10. Camacho, G. T. 1996: Computational Modelling of Impact Damage and Penetration of Brittle and Ductile Solids. PhD thesis, Brown University, Providence, Rhode Island
11. Camacho, G. T.; Ortiz, M. 1996: Computational Modelling of Impact Damage in Brittle Materials. International Journal of Solids and Structures, 33: 2899-2938
12. Chiao, Y.-H.; Clarke, D. R. (1989). Direct Observation of Dislocation Emission from Crack Tips in Silicon at High Temperatures. Acta Metallurgica, 47: 203-219
13. 3Al(γ′ Phase)
14. Cuitiño, A. M.; Ortiz, M. 1992a: A Material-Independent Method for Extending Stress Update Algorithms from Small-Strain Plasticity to Finite Plasticity with Multiplicative Kinematics. Engineering Computations, 9: 437-451
15. Cuitiño A. M.; Ortiz, M. 1992b: Computational Modelling of Single Crystals. Modelling and Simulation in Materials Science and Engineering, 1: 255-263
16. 2 Intermetallic Crystals. Materials Science and Engineering, A170: 111-123
17. Cuitiño, A. M.; Ortiz, M. 1996a: Ductile Fracture by Vacancy Condensation in FCC Single Crystals. Acta Metallurgica, 44: 427-436
18. Cuitiño, A. M.; Ortiz, M. 1996b: Three-Dimensional Crack-Tip Fields in Four-Point Bending Copper Single-Crystals Specimens. Mechanics and Physics of Solids, 44: 863-904
19. Curran, D. R.; Seaman, L.; Cooper, T.; Shockey, D. A. 1993: Micromechanical Model for Communution and Granular Flow of Brittle Material under High Strain Rate Application to Penetration of Ceramic Targets. International Journal of Impact Engineering, 13: 53-83
20. Curran, D. R.; Seaman, L.; Shockey, D. A.; 1987: Dynamic Failure of Solids. Physics Reports, 147: 253-388
21. Dawson, R. R.; Needleman, A.; Suresh, S. 1994: Issues in the Finite-Element Modeling of Polyphase Plasticity. Materials Science and Engineering, A175: 43-48
22. Espinosa, H. D.; Raiser, G.; Clifton, R. J.; Ortiz, M. 1992: Experimental Observations and Numerical Modeling of Inelasticity in Dynamically Loaded Ceramics. Journal of Hard Materials, 3: 285-313
23. Essmann, U.; Rapp, M. 1973: Slip in Copper Crystals following Weak Neutron Bombardment. Acta Metallurgica, 21: 1305
24. Evans, A. G.; Marshall, D. B. 1989: The Mechanics of Matrix Cracking in Brittle-Matrix Fiber Composites. Acta Metallurgica, 37: 2567
25. Foreman, A. J. E.; Makin, M. J. 1966: Dislocation Movement through Random Arrays of Obstacles. Philosophical Magazine, 14: 911
26. Franciosi, P.; Zaoui, A. 1982: Multislip in F.C.C. Crystals: A Theoretical Approach Compared with Experimental Data. Acta Metallurgica, 30: 1627-1637
27. Freund, L. B. 1990: Dynamic Fracture Mechanics. Cambridge University Press, Cambridge
28. George, A; Michot, G. 1993: Dislocation Loops at Crack Tips - Nucleation and Growth - An Experimental Study in Silicon. Materials Science and Engineering, A164: 118-134
29. Gerberich, W. W.; Nelson, J. C.; Lilleodden, E. T.; Wyrobek, J. T. 1995: Acta Metallurgica, to appear
30. Gillis, P. P.; Gilman, J. 1965: Dynamical Dislocation Theory of Crystal Plasticity. II. Easy Glide and Strain Hardening. Journal of Applid Physics, 36: 3380
31. Gilman, J. J.; Knudsen, C.; Walsh, W. P. 1958: Journal of Applied Physics, 29: 600
32. Glosli, J. N.; McClelland, G. M. 1993: Molecular-Dynamics Study of Sliding Friction of Ordered Organic Monolayers. Physcis Review Letters, 70: 1960-1963
33. Grace, F. I.; Rupert, N. L. 1993: Mechanisms for Ceramic/Metal, Semi-Infinite, Bi-Element Target Response to Ballistic Impact. In TB-16, Ballistics '93, 14th International Symposium, volume 2, pages 361-370, Quebec City, Canada
34. Grady, D. E.; Kipp, M. E. 1979: The Micromechanics of Impact Fracture of Rock. International Journal of Rock Mechanics, Mining Science and Geomechanics Abstracts, 16: 293-302
35. Grady, D. E.; Kipp, M. E. 1993: Dynamic Fracture and Fragmentation. In Asay, J. R.; Shahinpoor, M., editors, High-Pressure Shock Compression of Solids, pages 265-322, New York. Springer-Verlag
36. He, M. Y.; Hutchinson, J. W. 1989: Kinking of a Crack Out of an Interface. Journal of Applied Mechanics, 56: 270
37. Hirsch, P. B.; Samuels, J.; Roberts, S.-G. 1989: The Brittle-Ductile Transition in Silicon. 2. Interpretation. Proceedings of the Royal Society of London, A421: 25-53
38. Hsia, K. J.; Argon, A. S. 1994: Experimental Study of the Mechanisms of Brittle-to-Ductile Transition of Cleavage Fracture in Si Single Crystals. Materials Science and Engineering, 176: 111-119
39. Johnson, G. R.; Holmquist, T. J. 1992: A Computational Constitutive Model for Brittle Materials Subjected to Large Strains, High Rates, and High Pressures. In Meyers, M. A., Murr, L. E., and Staudhammer, K. P., editors, Shock-Wave and High-Strain Rate Phenomena in Materials, pages 1075-1081, New York. Marcel Dekker
40. Jonas, G. H.; Zukas, J. A. 1978: Mechanics of Penetration: Analysis and Experiment, International Journal of Engineering Science, 16: 879-903
41. Kear, B. H.; Wilsdorf, G. F. 1962: Transactions of the Metallurgical Society of the AIME, 224: 382
42. Kim, K. S.; Bastawros, A. (1995 private communication)
43. Kocks, U. F. 1966: A Statistical Theory of Flow Stress and Work-Hardening. Philosophical Magazine, 13: 541
44. Kuramoto, E.; Pope, D. P. 1976: Philosophical Magazine, 34: 593
45. Lall, C.; Chin, S.; Pope, D. P. 1979: Metallurgical Transactions A, 10A: 1323
46. Landman, U., Luedtke, W. D.; Burnham, N. A.; Colton, R. J. 1990: Atomistic Mechanisms and Dynamics of Adhesion, Nanoindentation and Fracture. Science, 248: 454-461
47. Lankford, J. 1977: Compressive Strength and Microplasticity in Polycrystalline Alumina. Journal of Materials Science, 12: 791-796
48. Longy, F.; Cagnoux, J. 1989: Plasticity and Microcracking in Shock-Loaded Alumina. Journal of the American Ceramic Society, 72: 971-979
49. Lyles, R. L.; Wilsdorf, H. G. F. 1975: Microcrack Nucleation and Fracture in Silver Crystals. Acta Metallurgica, 23: 269
50. Martin, J. W.; Doherty, R. D. 1976: Stability of Microstructure in Metallic Systems. Cambridge University Press, Cambridge, England
51. Miller, R.; Phillips, R. 1996: The Energetics of Slip and Decohesion in Crystals. Philosophical Magazine, to appear
52. 3(Al, W). Acta Metallurgica, 21: 1375-1380
53. Nabarro, F. R. N. 1947: Dislocations in a Simple Cubic Lattice. Proceedings of the Royal Society of London, A59: 256
54. Ortiz, M.; Popov, E. P. 1982: A Statistical Theory of Polycrystalline Plasticity. Proceedings of the Royal Society of London, A379: 439-458
55. Ortiz, M.; Quigley, J. J. 1991: Adaptive Mesh Refinement in Strain Localization Problems. Computer Methods in Applied Mechanics and Engineering, 90: 781-804
56. Ortiz, M.; Suresh, S. 1993: Statistical Properties of Residual Stresses and Intergranular Fracture in Ceramic Materials. Journal of Applied Mechanics, 60: 77-84
57. 2 Ordered Alloys. Acta Metallurgica, 32: 435-448
58. Peierls, R. E. 1940: The Size of a Dislocation. Proceedings of the Royal Society of London, A52: 34
59. Qin, Q.; Bassani, J. L. 1990a: Non-Schmid Yield Behavior in Single-Crystals. Journal of the Mechanics and Physics of Solids, 40: 813-833
60. Qin, Q.; Bassani, J. L. 1990b: Nonassociated Plastic-Flow in Single-Crystals. Journal of the Mechanics and Physcis of Solids, 40: 835-862
61. Rajendran, A. M. 1994: Modeling the Impact Behavior of AD85 Ceramic under Multiaxial Loading. International Journal of Impact, 15: 749-768
62. Rice, J. R. 1987: Tensile Crack Tip Fields in Elastic Ideally Plastic Crystals. Mechanics of Materials, 6: 317-335
63. Rice, J. R.; Beltz, G. E. 1994: The Activation Energy for Dislocation Nucleation at a Crack. Journal of the Mechanics and Physcis of Solids, 42: 333-360
64. Rice, J. R.; Johnson, M. A. 1970: The Role of Large Crack Tip Geometry Changes in Plane Strain Fracture. In Kanninen, M. F., Adler, W. F., Rosendfield, A. R., and Jaffee, R. I., editors, Inelastic Behavior of Solids, New York. McGraw Hill
65. Samuels, J.; Roberts, S. G. 1989: The Brittle-Ductile Transition in Silicon. 1. Experiments, Proceedings of the Royal Society of Londpn, A421: 1-24
66. Schöck, G.; Püschl, W. 1991: The Formation of Dislocation Loops at Crack Tips in 3 Dimensions. Philosophical Magazine, A64: 931-949
67. Seaman, L.; Curran, D. R.; Murri, W. J. 1985: A Continuum Model for Dynamic Tensile Microfracture and Fragmentation. Journal of Applied Mechanics, 52: 593-600
68. Sharp, S. J.; Ashby, M. F.; Fleck, N. A. 1993: Material Response under Static and Sliding Indentation Loads. Acta Metallurgica et Materialia, 41: 685-692
69. Shield, T. W. 1966: An Experimental Study of the Plastic Strain Fields near a Notch Tip in a Copper Single Crystal During Loading. Acta Metallurgica, to appear
70. Shield, T. W.; Kim, K.-S. 1991: Diffraction Theory of Optical Interference Moire and a Device for the Production of Variable Reference Gratings: A Moire Microscope. Experimental Mechanics, 31: 126-134
71. Shield, T. W.; Kim, K.-S. 1994: An experimental Study of Plastic Deformation Fields near a Crack Tip in an Iron-Silicon Single Crystal. Journal of the Mechanics and Physics of Solids, 42: 845-873
72. Shockey, D. A.; Curran, D. R.; Seaman, L.; Rosenberg, J. T.; Petersen, C. F. 1974: Fragmentation of Rock under Dynamic Loads. International Journal of Rock Mechanics, Mining Science and Geomechanics Abstracts, 11: 303-317
73. Shockey, D. A.; Marchand, A. H.; Skaggs, S. R.; Cort, G. E.; Burkett, M. W.; Parker, R. 1990: Failure Phenomenology of Confined Ceramic Targets and Impacting Rods. International Journal of Impact Engineering, 9: 263-275
74. Sommer, E. 1969: Formation of fracture lances in glass. Engineering Fracture Mechanics, 1: 539-546
75. St John, C. 1975: The Brittle-to-Ductile Transition in Pre-Cleaved Silicon Single Crystals. Philosophical Magazine, 32: 1193-1212
76. Suresh, S.; Shih, C. F.; Morrone, A.; O'Dowd, N. P. 1990: Mixed-Mode Fracture Toughness of Ceramic Materials. 73: 1257
77. Suresh, S.; Tschegg, E. K. 1987: Combined mode I-mode III fracture of fatigue precracked alumina. Journal of the American Ceramic Society, 70: 726-33
78. Sutton, A. P.; Pethica, J. B. 1990: Inelastic Flow Processes in Nanometer Volumes of Solid. Journal of the Physics of Condensed Matter, 2: 5317-5326
79. Tadmor, E. B.; Ortiz, M.; Phillips, R. 1996a: Mixed Atomistic and Continuum Models of Deformation in Solids. Langmuir, to appear
80. Tadmor, E. B.; Phillips, R.; Ortiz, M. 1996b: Quasicontinuum Analysis of Defects in Solids. Philosophical Magazine, to appear
81. 3Ga Single Crystals. Acta Metallurgica, 21: 415-425
82. 3Al. Metallurgical Transactions A, 1A: 207-218
83. Tschegg, E. K.; and Suresh S. 1988: Mode III fracture of 4340 steel: Effects of tempering temperature and fracture surface interference. Metallurgical Transcations A, 19A: 3035
84. Tvergaard, V. 1990: Material Failure by Void Growth and Coalescence. Advances in Applied Mechanics, 27: 83-151
85. 3(Al, Ta) Single-Crystals. Acta Metallurgica, 32: 449-456
86. Walter, J. 1992: Material Modeling for Terminal Ballistic Simulation. Technical report, U.S. Army Ballistic Research Labotratory, Maryland
87. Wang, J. S.; Anderson, P. M. 1991: Fracture Behavior of Embrittled FCC Metal Bicrystals. Acta Metallurgica et Materialia, 39: 779-792
88. Westbrook, J. H. 1977: Intermetallic Compounds. Robert E. Krieger Publishing Company, Huntington, New York
89. Wilkins, M. L. 1978: Mechanics of Penetration and Perforation. International Journal of Engineering Science, 16: 793-807
90. Wilsdorf, H. G. H. 1982: The Role of Glide and Twinning in the Final Separation of Ruptured Gold Crystals. Acta Metallurgica, 23: 1247-1258
91. Woodward, R. L.; Gooch, W. A.; O'Donnell, R. G.; Perciballi, W. J.; Baxter, B. J.; Pattie, S. D. 1994: A Study of Fragmentation in the Ballistic Impact of Ceramics. International Journal of Impact Engineering, 15: 605-618
92. Xu, G.; Argon, A. S.; Ortiz, M. 1995: Nucleation of Dislocations from Crack Tips under Mixed Modes of Loading: Implications for Brittle vs. Ductile Behavior of Crystals. Philosophical Magazine, 72: 415-451
93. Xu, G., Argon, A. S.; Ortiz, M. 1996a: Critical Configurations for Dislocation Nucleation. Philosophical Magazine, to appear
94. Xu, G.; Bower, A.; Ortiz, M. 1994: An Analysis of Non-planar Crack Growth under Mixed Mode Loading. International Journal of Solids and Structures, 31: 2167-2193
95. Xu, G., Bower, A. F.; Ortiz, M. 1996b: The Influence of Crack Trapping on the Toughness of Fiber Reinforced Composites. Journal of Engineering Materials and Technology, to appear
96. Xu, G.; Ortiz, M. 1993: A Variational Boundary Integral Method for the Analysis of 3-D Cracks of Arbitrary Geometry Modeled as Continuous Distributions of Dislocation Loops. International Journal of Numerical Methods in Engineering, 36: 3675-3701
97. Xu, X. P.; Needleman, A. 1994: Numerical Simulations of Fast Crack Growth in Brittle Solids. Journal of the Mechanics and Physics of Solids, 42: 1397