Stolken,
J. S., and Evans,
A. G., 1998, “A Microbend Test Method for Measuring the Plasticity Length Scale,” Acta Mater., 46, pp. 5109–5115.
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.
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.
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.
Acharya,
A., and Bassani,
J. L., 2000, “Lattice Incompatibility and a Gradient Theory of Crystal Plasticity,” J. Mech. Phys. Solids, 48, pp. 1565–1595.
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.
Van der Giessen,
E., and Needleman,
A., 1995, “Discrete Dislocation Plasticity: A Simple Planar Model,” Modell. Simul. Mater. Sci. Eng., 3, pp. 689–735.
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.
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.
Deshpande,
V. S., Needleman,
A., and Van der Giessen,
E., 2002, “Discrete Dislocation Modeling of Fatigue Crack Propagation,” Acta Mater., 50, pp. 831–846.
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.
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.
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.
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.
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.
Hirth, J. P., and Lothe, J., 1968, Theory of Dislocations, McGraw-Hill, New York.
Rice,
J. R., 1988, “Elastic Fracture Mechanics Concepts for Interfacial Cracks,” ASME J. Appl. Mech., 55, pp. 98–103.
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.
Tvergaard,
V., and Hutchinson,
J. W., 1993, “The Influence of Plasticity on Mixed Mode Interface Toughness,” J. Mech. Phys. Solids, 41, pp. 1119–1135.
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.
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.
Tvergaard,
V., 1999, “Effect of Plasticity on Cleavage Crack Growth Resistance at an Interface,” J. Mech. Phys. Solids, 47, pp. 1095–1112.
Tvergaard,
V., 2001, “Resistance Curves for Mixed Mode Interface Crack Growth Between Dissimilar Elastic-Plastic Solids,” J. Mech. Phys. Solids, 49, pp. 2689–2703.
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.
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.
Deshpande,
V. S., Needleman,
A., and Van der Giessen,
E., 2001, “Dislocation Dynamics is Chaotic,” Scr. Mater., 45, pp. 1047–1053.
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.
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.
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.
Benzerga, A. A., and Needleman, A., work in progress.
Bathe, K.-J., 1982, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, NJ.