An Explanation for the Size-Effect in Machining Using Strain Gradient Plasticity

[+] Author and Article Information
Suhas S. Joshi, Shreyes N. Melkote

George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405

J. Manuf. Sci. Eng 126(4), 679-684 (Feb 04, 2005) (6 pages) doi:10.1115/1.1688375 History: Received December 01, 2003; Online February 04, 2005
Copyright © 2004 by ASME
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Ashby,  M. F., 1970, “The Deformation of Plastically Non-Homogeneous Materials,” Philos. Mag., 21, pp. 399–424.
Fleck,  N. A., Muller,  G. M., Ashby,  M. F., and Hutchinson,  J. W., 1994, “Strain Gradient Plasticity Theory and Experiment,” Acta Metall. Mater., 42(2), pp. 475–487.
Ma,  Q., and Clarke,  D. R., 1995, “Size Dependent Hardness of Silver Single Crystals,” J. Mater. Res., 10(4), pp. 853–863.
Gao,  H., Huang,  Y., Nix,  W. D., and Hutchinson,  J. W., 1999, “Mechanism Based Strain Gradient Plasticity—I Theory,” J. Mech. Phys. Solids, 47, pp. 1239–1263.
Duan,  D. M., Wu,  N. Q., Slaughter,  W. S., and Mao,  S. X., 2001, “Length Scale Effect in Mechanical Behavior due to Strain Gradient Plasticity,” Mater. Sci. Eng., A, 303, pp. 241–249.
Usui,  E., Gujral,  A., and Shaw,  M. C., 1961, “An Experimental Study of the Action of CCl4 in Cutting and Other Processes Involving Plastic Flow,” Int. J. Mach. Tool Des. Res., 1, pp. 187–197.
Walker, T. J., and Shaw, M. C., (1969), “On Deformation at Large Strains,” Proc. Of 10th IMTDR Conference, pp. 241–252.
Shaw,  M. C., 1980, “A New Mechanism of Plastic Flow,” Int. J. Mech. Sci., 22(11), pp. 673–686.
Shaw, M. C., 1983, Metal Cutting Principles, Oxford University Press, pp. 194–195.
Vyas,  A. and Shaw,  M. C., 1999, “Mechanics of Saw-Tooth Chip Formation in Metal Cutting,” ASME J. Manuf. Sci. Eng., 121(2), pp. 163–172.
Backer,  W. R., Marshall,  E. R., and Shaw,  M. C., 1952, “The Size Effect in Metal Cutting,” Trans. ASME, 74, p. 62.
Nakayama,  K., and Tamura,  K., 1968, “Size Effect in Metal Cutting Force,” ASME J. Eng. Ind. 90(1), pp. 119–126.
Boothroyd, G., and Knight, W. A., 1989, Fundamentals of Metal Machining and Machine Tools, Marcel Dekker, Inc. NY.
Larson-Basse, J., and Oxley, P. L. B., 1973, “Effect of Strain Rate Sensitivity on Scale Phenomenon in Chip Formation,” Proc. Of 13th Int. Mach. Tool Des. Res. Conference, pp. 209–216.
Dinesh, D., Swaminathan, S., Chandrasekar, S., and Farris, T. N., 2001, “An Intrinsic Size Effect in Machining due to the Strain Gradient,” Proc. of ASME IMECE, Nov 11–16, NY, USA, CD-ROM Proc., pp. 1–8.
Van Luttervelt,  C. A., Delft,  T. U., Childs,  T. H. C., Jawahir,  I. S., Klocke,  F., and Venuvinod,  P. K., 1998, “Present Situation and Future Trends in Modeling of Machining Operations,” CIRP Ann., 47(2), pp. 587–626.
Oxley, P. L. B., and Welsh, M. J. M., 1963, “Calculating Shear Angle in Orthogonal Metal Cutting From Fundamental Stress, Strain and Strain-Rate Properties of the Work Material,” Proc. of 4th Int. Mach. Tool Des. Res. Conf., pp. 73–86.
Stevenson,  M. G., and Oxley,  P. L. B., 1969–70, “An Experimental Investigation of the Influence of Speed and Scale on the Strain-Rate in Zone of Intense Plastic Deformation,” Proc. Inst. Mech. Eng., 184, pp. 561–576.
Arsenlis,  A., and Parks,  D. M., 1999, “Crystallographic Aspects of Geometrically-Necessary and Statistically-Stored Dislocation Density,” Acta Mater., 47(5), pp. 1597–1611.
Merchant,  M. E., 1945, “Mechanics of the Metal Cutting Process,” J. Appl. Phys., 16(5), p. 267, and No. 6, p. 318.
Properties and Selection: Non-Ferrous Alloys and Special Purpose Materials, ASM Metals Handbook, 1990, Vol. II, pp. 304–305.
Fleck, N. A., and Hutchinson, J. W., 1997, “Strain Gradient Plasticity,” Advances in Applied Mechanics, Hutchinson, J. W. and Wu, T. Y., eds., Vol. 33, Academic Press, New York, p. 295.
Dieter, G. E., 1976, Mechanical Metallurgy, McGraw Hill Inc.


Grahic Jump Location
Schematic of the parallel-sided PDZ
Grahic Jump Location
(ac) Model of strain gradient: [a] in overall PDZ, [b] in a row of elements parallel to the shear plane, [c] in a row of elements perpendicular to the shear plane
Grahic Jump Location
(ab) Slip system in single crystal dislocation model 2
Grahic Jump Location
(ac) Dislocation model for a parallel-sided PDZ in machining
Grahic Jump Location
Size-effect in the shear strength of material in the PDZ
Grahic Jump Location
Size-effect in the specific shear energy—Tool rake angle: +10 deg
Grahic Jump Location
Size-effect in the specific shear energy—Tool rake angle: 0 deg
Grahic Jump Location
Size-effect in the specific shear energy—Tool rake angle: −20 deg




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