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TECHNICAL PAPERS

Analytical Solution of a Borehole Problem Using Strain Gradient Plasticity

[+] Author and Article Information
X.-L. Gao

Department of Mechanical Engineering-Engineering Mechanics, Michigan Technological University, Houghton, MI 49931-1295

J. Eng. Mater. Technol 124(3), 365-370 (Jun 10, 2002) (6 pages) doi:10.1115/1.1480408 History: Received July 27, 2001; Revised February 20, 2002; Online June 10, 2002
Copyright © 2002 by ASME
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References

Papanastasiou,  P., and Vardoulakis,  I., 1989, “Bifurcation Analysis of Deep Boreholes: II. Scale Effect,” Int. J. Num. Anal. Meth. Geomech., 13, pp. 183–198.
Papanastasiou,  P., and Vardoulakis,  I., 1992, “Numerical Treatment of Progressive Localization in Relation to Borehole Stability,” Int. J. Num. Anal. Meth. Geomech., 16, pp. 389–424.
Zervos,  A., Papanastasiou,  P., and Vardoulakis,  I., 2001, “Modeling of Localization and Scale Effect in Thick-Walled Cylinders With Gradient Elastoplasticity,” Int. J. Solids Struct., 38, pp. 5081–5095.
Mendelson, A., 1968, Plasticity: Theory and Application, Macmillan, New York.
Gao,  X.-L., and Rowlands,  R. E., 1999, “Analytical Solution for the Plane Strain Inclusion Problem of an Elastic Power-Law Hardening Matrix Containing an Elastic Cylindrical Inclusion,” Int. J. Pressure Vessels Piping, 76, pp. 291–297.
Aifantis, E. C., 1996, “Higher Order Gradients and Size Effects,” Size-Scale Effects in the Failure Mechanisms of Materials and Structures, A. Carpinteri, ed., Chapman and Hall, London, pp. 231–242.
Aifantis,  E. C., 1984, “On the Microstructural Origin of Certain Inelastic Models,” ASME J. Eng. Mater. Technol., 106, pp. 326–330.
Aifantis,  E. C., 1987, “The Physics of Plastic Deformation,” Int. J. Plast., 3, pp. 211–247.
Zbib,  H. M., and Aifantis,  E. C., 1988, “On the Localization and Post-Localization Behavior of Plastic Deformation, I, II and III,” Res. Mech., 23, pp. 261–305.
Mühlhaus,  H.-B., and Aifantis,  E. C., 1991, “A Variational Principle for Gradient Plasticity,” Int. J. Solids Struct., 28, pp. 845–857.
Zhu,  H. T., Zbib,  H. M., and Aifantis,  E. C., 1997, “Strain Gradients and Continuum Modeling of Size Effect in Metal Matrix Composites,” Acta Mech., 121, pp. 165–176.
Hutchinson,  J. W., 2000, “Plasticity at the Micron Scale,” Int. J. Solids Struct., 37, pp. 225–238.
Fleck,  N. A., Müller,  G. M., Ashby,  M. F., and Hutchinson,  J. W., 1994, “Strain Gradient Plasticity: Theory and Experiments,” Acta Metall. Mater., 42, pp. 475–487.
Stolken,  J. S., and Evans,  A. G., 1998, “A Microbend Test Method for Measuring the Plasticity Length Scale,” Acta Meter., 46, pp. 5109–5115.
Ma,  Q., and Clarke,  D. R., 1995, “Size Dependent Hardness of Silver Single Crystals,” J. Mater. Res., 10, pp. 853–863.
Nan,  C. W., and Clarke,  D. R., 1996, “Influence of Particle Size and Particle Fracture on the Elastic/Plastic Deformation of Metal Matrix Composites,” Acta Mater., 44, pp. 3801–3811.
Aifantis,  E. C., 1999, “Strain Gradient Interpretation of Size Effects,” Int. J. Fract., 95, pp. 299–314.
Vardoulakis, I., and Aifantis, E. C., 1995, “Heterogeneities and Size Effects in Geomaterials,” Mechanics of Materials with Discontinuities and Heterogeneities, A. Misra and C. S. Chang, eds., AMD-Vol. 201, ASME Press, New York, pp. 27–30.
Gao,  X.-L., 1994, “Finite Deformation Elasto-Plastic Solution for the Pure Bending Problem of a Wide Plate of Elastic Linear-Hardening Material,” Int. J. Solids Struct., 31, pp. 1357–1376.
Gao,  X.-L., 1998, “A Mathematical Analysis of the Elasto-Plastic Plane Stress Problem of a Power-Law Material,” IMA J. Appl. Math., 60, pp. 139–149.
Gao,  X.-L., 1999, “An Exact Elastoplastic Solution for the Plane Wedge Problem of an Elastic Linear-Hardening Material,” Math. Mech. Solids, 4, pp. 289–306.
Little, R. W., 1973, Elasticity, Prentice Hall, Englewood Cliffs, NJ.
Aifantis,  E. C., 1995, “Pattern Formation in Plasticity,” Int. J. Eng. Sci., 33, pp. 2161–2178.

Figures

Grahic Jump Location
Differences between the gradient and classical plasticity solutions
Grahic Jump Location
Stress concentration factors

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