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TECHNICAL PAPERS

The Stress Field Caused by a Circular Cylindrical Inclusion in a Transversely Isotropic Elastic Solid

[+] Author and Article Information
H. Hasegawa, M. Kisaki

Department of Mechanical Engineering, Meiji University, Tama-ku, Kawasaki 214-8571, Japan

J. Appl. Mech 70(6), 825-831 (Jan 05, 2004) (7 pages) doi:10.1115/1.1629755 History: Received October 29, 2002; Revised April 25, 2003; Online January 05, 2004
Copyright © 2003 by ASME
Topics: Stress , Functions
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References

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Mura,  T., 1988, “Inclusion Problem,” Appl. Mech. Rev., 41(1), pp. 15–20.
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, Part 2, pp. s107–s114.
Hasegawa,  H., Lee,  V. G., and Mura,  T., 1993, “Hollow Circular Cylindrical Inclusion at the Surface of a Half-Space,” ASME J. Appl. Mech., 60, pp. 33–40.
Wu,  L. Z., and Du,  S. Y., 1995, “The Elastic Field Caused by a Circular Cylindrical Inclusion—Part I,” ASME J. Appl. Mech., 62, pp. 579–584.
Wu,  L. Z., and Du,  S. Y., 1995, “The Elastic Field Caused by a Circular Cylindrical Inclusion—Part II,” ASME J. Appl. Mech., 62, pp. 585–589.
Wu,  L. Z., and Du,  S. Y., 1996, “The Elastic Field in a Half-Space With a Circular Cylindrical Inclusion,” ASME J. Appl. Mech., 63, pp. 925–932.
Hasegawa,  H., and Yoshiie,  K., 1996, “Tension of Elastic Solid With Elastic Circular-Cylindrical Inclusion,” JSME Int. J., Ser. A, 39(2), pp. 186–191.
Hasegawa,  H., and Ariyoshi,  S., 1996, “Fundamental Solution for Axisymmetric Problems of Transversely Isotropic Elastic Solid,” (in Japanese), Trans. Jpn. Soc. Mech. Eng., Ser. A, 62(596), pp. 1059–1063.
Eubanks,  R. A., and Sternberg,  E., 1954, “On the Axisymmetric Problem of Elasticity Theory for Medium With Transverse Isotropy,” J. Ration. Mech. Anal.,3(1), pp. 89–101.
Ishida,  R., 1987, “Crack Problem in a Transversely Isotropic Medium With a Penny-Shaped Crack Under Transient Thermal Loading,” Z. Angew. Math. Mech., 67(2), pp. 93–99.
Erdelyi, A., 1954, Tables of Integral Transforms, Vol. 2, McGraw-Hill, New York.
Eason,  G., Noble,  B., and Sneddon,  I. N., 1955, “On Certain Integrals of Lipschitz-Hankel Type Involving Products of Bessel Functions,” Philos. Trans. R. Soc. London, Ser. A, 247(A935), pp. 529–551.
Byrd, P. F., and Friedman, M. D., 1971, Handbook of Elliptic Integrals for Engineers and Scientists, 2nd Ed., Springer-Verlag, New York.
Chiu,  Y. P., 1977, “On the Stress Field Due to Initial Strains in a Cuboid Surrounded by an Infinite Elastic Space,” ASME J. Appl. Mech., 44, pp. 587–590.

Figures

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A circular cylindrical inclusion in a transversely isotropic elastic solid
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The body force acting along a circle; (a) a radial force, (b) an axial force
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Distribution of stresses on the plane z=0 for magnesium and steel
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Distribution of stresses on the plane z=0 for cadmium and steel
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Variation of stresses along the z-axis for magnesium and steel
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Variation of stresses along the z-axis for cadmium and steel
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Effect of the length of inclusion on distributions of stress σz on the plane z=0 for magnesium and steel
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Variation of stress σz for magnesium and steel
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Variation of shear stress τrz for magnesium and steel

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