A superposition framework for discrete dislocation plasticity

Journal of Applied Mechanics, Transactions ASME

Volumn 71, Issue 6, 2004, Pages 805-815

  O'Day, M P ^a   Curtin, W A ^a  

^a Brown University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE DISLOCATION (DD) PLASTICITY; DISCRETE DISLOCATION BOUNDARY VALUE; FRANK-READ DISLOCATION LOOPS; PEACH-KOEHLER FORCES;

BOUNDARY CONDITIONS; CRACK PROPAGATION; ELASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PLASTIC DEFORMATION; PROBLEM SOLVING; THERMOMECHANICAL TREATMENT;

PLASTICITY;

EID: 10844240202     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1794167     Document Type: Article

References (31)

1. Stolken, J. S., and Evans, A. G., 1998, "A Microbend Test Method for Measuring the Plasticity Length Scale," Acta Mater., 46, pp. 5109-5115.
2. Fleck, N. A., Muller, G. M., Ashby, M. F., and Hutchinson, J. W., 1994, "Strain Gradient Plasticity: Theory and Experiment," Acta Metall. Mater., 42, pp. 475-487.
3. Fleck, N. A., and Hutchinson, J. W., 1997, "Strain Gradient Plasticity," J. W. Hutchinson and T. T. Wu, eds., Adv. Appl. Mech., 33, pp. 295-361.
4. Gurtin, M. E., 2002, "A Gradient Theory of Single-Crystal Viscoplasticity That Accounts for Geometrically Necessary Dislocations," J. Mech. Phys. Solids, 50, pp. 5-32.
5. Acharya, A., and Bassani, J. L., 2000, "Lattice Incompatibility and a Gradient Theory of Crystal Plasticity," J. Mech. Phys. Solids, 48, pp. 1565-1595.
6. Shu, J. Y., Fleck, N. A., Van der Giessen, E., and Needleman, A., 2001, "Boundary Layers in Con-Strained Plastic Flow: Comparison of Nonlocal and Discrete Dislocation Plasticity," J. Mech. Phys. Solids, 49, pp. 1361-1395.
7. Van der Giessen, E., and Needleman, A., 1995, "Discrete Dislocation Plasticity: A Simple Planar Model," Modell. Simul. Mater. Sci. Eng., 3, pp. 689-735.
8. Cleveringa, H. H. M., Van der Giessen, E., and Needleman, A., 1997, "Comparison of Discrete Dislocation and Continuum Plasticity Predictions for a Composite Material," Acta Mater., 45, pp. 3163-3179.
9. Cleveringa, H. H. M., Van der Giessen, E., and Needleman, A., 2000, "A Discrete Dislocation Analysis of Mode I Crack Growth," J. Mech. Phys. Solids, 48, pp. 1133-1157.
10. Deshpande, V. S., Needleman, A., and Van der Giessen, E., 2002, "Discrete Dislocation Modeling of Fatigue Crack Propagation," Acta Mater., 50, pp. 831-846.
11. Benzerga, A. A., Hong, S. S., Kim, K. S., Needleman, A., and Van der Giessen, E., 2001, "Smaller is Softer: An Inverse Size Effect in a Cast Aluminum Alloy," Acta Mater., 49, pp. 3071-3083.
12. Bittencourt, E., Needleman, A., Gurtin, M. E., and Van der Giessen, E., 2003, "A Comparison of Nonlocal Continuum and Discrete Dislocation Plasticity Predictions," J. Mech. Phys. Solids, 51, pp. 281-310.
13. Eshelby, J. D., 1961, "Elastic Inclusions and Inhomogeneities," Progress in Solid Mechanics, Vol. II, I. N. Sneddon and R. Hill, eds., North-Holland, Amsterdam, 89-140.
14. Shilkrot, L. E., Curtin, W. A., and Miller, R. E., 2002, "A Coupled Atomistic/Continuum Model of Defects in Solids," J. Mech. Phys. Solids, 50, pp. 2085-2106.
15. Weygand, D., Friedman, L. H., Van der Giessen, E., and Needleman, A., 2002, "Aspects of Boundary-Value Problem Solutions With Three-Dimensional Dislocation Dynamics," Modell. Simul. Mater. Sci. Eng., 10, pp. 437-468.
16. Hirth, J. P., and Lothe, J., 1968, Theory of Dislocations, McGraw-Hill, New York.
17. Rice, J. R., 1988, "Elastic Fracture Mechanics Concepts for Interfacial Cracks," ASME J. Appl. Mech., 55, pp. 98-103.
18. Tvergaard, V., and Hutchinson, J. W., 1992, "The Relation Between Crack Growth Resistance and Fracture Process Parameters in Elastic-Plastic Solids," J. Mech. Phys. Solids, 40, pp. 1377-1397.
19. Tvergaard, V., and Hutchinson, J. W., 1993, "The Influence of Plasticity on Mixed Mode Interface Toughness," J. Mech. Phys. Solids, 41, pp. 1119-1135.
20. Tvergaard, V., and Hutchinson, J. W., 1994, "Effect of T-Stress on Mode I Crack Growth Resistance in a Ductile Solid," Int. J. Solids Struct., 31, 823-833.
21. Tvergaard, V., 1997, "Cleavage Crack Growth Resistance Due to Plastic Flow Around a Near-Tip Dislocation-Free Region," J. Mech. Phys. Solids, 45, pp. 1007-1023.
22. Tvergaard, V., 1999, "Effect of Plasticity on Cleavage Crack Growth Resistance at an Interface," J. Mech. Phys. Solids, 47, pp. 1095-1112.
23. Tvergaard, V., 2001, "Resistance Curves for Mixed Mode Interface Crack Growth Between Dissimilar Elastic-Plastic Solids," J. Mech. Phys. Solids, 49, pp. 2689-2703.
24. Suo, Z., Shih, C. F., and Varias, A. G., 1993, "A Theory for Cleavage Cracking in the Presence of Plastic Flow," Acta Metall. Mater., 41, pp. 1551-1557.
25. Xu, X.-P., and Needleman, A., 1993, "Void Nucleation by Inclusion Debonding in a Crystal Matrix," Modell. Simul. Mater. Sci. Eng., 1, pp. 111-132.
26. Deshpande, V. S., Needleman, A., and Van der Giessen, E., 2001, "Dislocation Dynamics is Chaotic," Scr. Mater., 45, pp. 1047-1053.
27. Liechti, K. M., and Chai, Y. S., 1992, "Asymmetric Shielding in Interfacial Fracture Under In-Plane Shear," ASME J. Appl. Mech., 59, pp. 295-304.
28. Deshpande, V. S., Needleman, A., and Van der Giessen, E., 2003, "Discrete Dislocation Plasticity Modeling of Short Cracks in Single Crystals," Acta Mater., 51, 1-15.
29. Wei, Y., and Hutchinson, J. W., 1997, "Steady-State Crack Growth and Work of Fracture for Solids Characterized by Strain Gradient Plasticity," J. Mech. Phys. Solids, 45, pp. 1253-1273.
30. Benzerga, A. A., and Needleman, A., work in progress.
31. Bathe, K.-J., 1982, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, NJ.