Interaction between elliptical and ellipsoidal inclusions under bending stress fields

Citation
Na. Noda et H. Hayashida, Interaction between elliptical and ellipsoidal inclusions under bending stress fields, ARCH APPL M, 70(8-9), 2000, pp. 612-624
Citations number
26
Categorie Soggetti
Mechanical Engineering
Journal title
ARCHIVE OF APPLIED MECHANICS
ISSN journal
09391533 → ACNP
Volume
70
Issue
8-9
Year of publication
2000
Pages
612 - 624
Database
ISI
SICI code
0939-1533(200010)70:8-9<612:IBEAEI>2.0.ZU;2-Z
Abstract
This paper deals with interaction problems of elliptical and ellipsoidal in clusions under bending, using singular integral equations of the body force method. The problems are formulated as a system of singular integral equat ions with Cauchy-type or logarithmic-type singularities, where unknown func tions are densities of body forces distributed in the x,y and r, theta, z d irections in infinite bodies having the same elastic constants as those of the matrix and inclusions. In order to satisfy the boundary conditions alon g the elliptical and the ellipsoidal boundaries, the unknown functions are approximated by a linear combination of fundamental density functions and p olynomials. The present method is found to yield the exact solutions for a single elliptical or spherical inclusion under a bending stress field. It y ields rapidly converging numerical results for interface stresses in the in teraction of inclusions.