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TECHNICAL PAPERS

Intensity of Singular Stress Fields at the End of a Cylindrical Inclusion

[+] Author and Article Information
N.-A. Noda, T. Genkai, Q. Wang

Mechanical Engineering Department, Kyushu Institute of Technology, Kitakyushu 804-8550, Japan

J. Appl. Mech 70(4), 487-495 (Aug 25, 2003) (9 pages) doi:10.1115/1.1598479 History: Received July 30, 1999; Revised January 16, 2003; Online August 25, 2003
Copyright © 2003 by ASME
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References

Chen,  D. H., and Nisitani,  H., 1991, “Singular Stress Fields at a Corner of Jointed Dissimilar Material Under Antiplane Loads,” Trans. Jpn. Soc. Mech. Eng., Ser. A, 57-542 , pp. 2499–2503 (in Japanese) [1992, JSME Int. J., Ser. I, 35-4, pp. 399–403].
Chen,  D. H., and Nisitani,  H., 1993, “Singular Stress Near the Corner of Jointed Dissimilar Materials,” Trans. ASME, J. Appl. Mech., 60, pp. 607–613.
Chen, D. H., 1992, “Analysis for Corner Singularity in Composite Materials Based on the Body Force Method,” Localized Damage II, Vol. 1, pp. 397–421.
Chen,  D. H., and Nisitani,  H., 1992, “Analysis of Intensity of Singular Stress Fields at Fiber End,” Trans. Jpn. Soc. Mech. Eng., Ser. A, 58-554, pp. 1834–1838 (in Japanese).
Nisitani,  H., Chen,  D. H., and Shibako,  A., 1993, “Singular Stress at a Corner of Lozenge Inclusion Under Antiplane Shear,” Trans. Jpn. Soc. Mech. Eng., Ser. A, 59-561, pp. 1191–1195 (in Japanese).
Nisitani,  H., 1967, “The Two-Dimensional Stress Problem Solved Using an Electric Digital Computer,” J. Jpn. Soc. Mech. Eng., 70 , pp. 627–632.[1968, Bull. JSME, 11, pp. 14–23].
Kasano,  H., Matsumoto,  H., and Nakahara,  I., 1981, “Tension of a Rigid Circular Cylindrical Inclusion in an Infinite Body,” Trans. Jpn. Soc. Mech. Eng., Ser. A, 47-413, pp. 18–26 (in Japanese).
Hasegawa,  H., and Yoshiya,  K., 1994, “Tension of Elastic Solid With Elastic Circular-Cylindrical Inclusion,” Trans. Jpn. Soc. Mech. Eng., Ser. A, 60-575, pp. 1585–1590 (in Japanese).
Takao,  Y., Taya,  M., and Chou,  T. W., 1981, “Stress Field Due to a Cylindrical Inclusion With Constant Axial Eigenstrain in an Infinite Elastic Body,” ASME J. Appl. Mech., 48, pp. 853–858.
Hasegawa,  H., Lee,  V.-G., and Mura,  T., 1992, “The Stress Fields Caused by a Circular Cylindrical Inclusion,” ASME J. Appl. Mech., 59, pp. 107–114.
Wu,  L., and Du,  S., 1995, “The Elastic Field Caused by a Circular Cylindrical Inclusion-Part I,” ASME J. Appl. Mech., 62, pp. 579–584.
Wu,  L., and Du,  S., 1995, “The Elastic Field Caused by a Circular Cylindrical Inclusion-Part II,” ASME J. Appl. Mech., 62, pp. 585–589.
Noguchi,  H., Nisitani,  H., Goto,  H., and Mori,  K., 1987, “Semi-Infinite Body With a Semi-Ellipsoidal Pit Under Tension,” Trans. Jpn. Soc. Mech. Eng., Ser. A, (in Japanese), 53-488, pp. 820–826[1989, JSME Int. J., Ser. I,32-1, pp. 14–22].
Noda,  N., and Tomari,  K., 1997, “Fundamental Solution and its Application for Stress Analysis of Axisymmetric Body Under Asymmetric Uniaxial Tension,” Bulletin of the Kyushu Institute of Technology, 67 , pp. 7–12.
Bogy,  D. B., and Wang,  K. C., 1971, “Stress Singularities at Interface Corners in Bonded Dissimilar Isotropic Elastic Materials,” Int. J. Solids Struct., 7, pp. 993–1005.
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Figures

Grahic Jump Location
Problem and coordinate system: (a) Uniaxial tension perpendicular to the axis of the inclusion (x direction); (b) Uniaxial tension in the axis of the inclusion (z direction); (c) Hydrostatic tension in a plane perpendicular to the axis of the inclusion (xy plane); (d) Pure shear in a plane perpendicular to the axis of the inclusion (xy plane); (e) Coordinate system
Grahic Jump Location
Two types of body force distributed around the corner in the (a) normal, (b) tangential, and (c) circumferential directions
Grahic Jump Location
(a) Typical boundary division for Eqs. (3) and (4). (b) Boundary division for singular integrals.
Grahic Jump Location
FI,λ1 and FII,λ2 for a cylindrical inclusion (solid line) and a rectangular inclusion (broken line) under longitudinal tension (νMI=0.3)
Grahic Jump Location
FI,λ1 and FII,λ2 for a cylindrical inclusion under uniaxial tension in the x direction (at corner A with θ=0, νMI=0.3)
Grahic Jump Location
FI,λ1 and FII,λ2 for a cylindrical inclusion under uniaxial tension in the x direction (at corner A with θ=π/2, νMI=0.3)
Grahic Jump Location
FI,λ1 and FII,λ2 for a rectangular inclusion under transverse tension, the case of plane strain νMI=0.3

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