A stress distribution in elliptical inclusions with sliding interface and uniform shear eigenstrain is analyzed. The existence of a nonvanishing stress in nearly circular inclusions is demonstrated, and an approximate method for its determination is suggested. An inherent nonlinear dependence of the stress on applied eigenstrain is indicated and discussed.

1.
Asaro
R. J.
,
1975
, “
Somigliana Dislocations and Internal Stresses; With Application to Second Phase Hardening
,”
Int. J. Engng. Sci.
, Vol.
13
, pp.
271
286
.
2.
Eshelby
J. D.
,
1957
, “
The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems
,”
Proc. Roy. Soc.
, Vol.
A241
, pp.
376
396
.
3.
Furuhashi
R.
,
Huang
J. H.
, and
Mura
T.
,
1992
,
Sliding Inclusions and Inhomogeneities With Frictional Interfaces
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
59
, pp.
783
788
.
4.
Kouris
D. A.
,
Tsuchida
E.
, and
Mura
T.
,
1986
, “
An Anomaly of Sliding Inclusions
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
53
, pp.
724
726
.
5.
Lubarda, V. A., and Markenscoff, X., 1999, “Energy Analysis of Circular Inclusions: Sliding vs. Bonded Interface,” Proc. Roy. Soc. Lond. A, in press.
6.
Mura, T., 1985, “General Theory of Inclusions,” Fundamentals. of Deformation and Fracture: Eshelby Memorial Symposium, B. A. Bilby, K. J. Miller, and J. R. Willis, eds., Cambridge University Press, Cambridge, pp. 75–89.
7.
Mura
T.
, and
Furuhashi
R.
,
1984
, “
The Elastic Inclusion with a Sliding Interface
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
51
, pp.
308
310
.
8.
Wong, G. K., and Barnett, D. M., 1985, “A Dislocation Method for Solving 3-D Crack and Inclusion Problems in Linear Elastic Solids,” Fundamentals of Deformation and Fracture: Eshelby Memorial Symposium, B. A. Bilby, K. J. Miller and J. R. Willis, eds., Cambridge University Press, Cambridge, pp. 417–437.
This content is only available via PDF.
You do not currently have access to this content.