Analysis of a partially debonded conducting rigid elliptical inclusion in a piezoelectric matrix

2001 ◽  
Vol 22 (1) ◽  
pp. 35-52
Author(s):  
Wang Xu ◽  
Shen Ya-peng
Keyword(s):  
Elliptical Inclusion ◽  
Rigid Elliptical Inclusion

Two-Dimensional Crack Inclusion Interaction Effects: Analysis and Experiments

1991 ◽  
Vol 113 (3) ◽  
pp. 392-397 ◽  
Author(s):  
M. H. Santare ◽  
B. J. O’Toole ◽  
E. M. Patton
Keyword(s):  
Stress Intensity ◽  
Crack Problem ◽  
Two Dimensional ◽  
Intensity Factors ◽  
Quadratic Polynomials ◽  
Elliptical Inclusion ◽  
Inclusion Interaction ◽  
Plane Interaction ◽  
Fringe Patterns ◽  
Rigid Elliptical Inclusion

The plane interaction between a crack and a rigid elliptical inclusion is investigated. In particular, the effects of the orientation and aspect ratio of the inclusion are considered. Analytically, the solution for the interaction of a dislocation with an inclusion is used as Green’s function for the problem. The crack problem is then cast in the form of a set of integral equations with Cauchy singularities. These are solved numerically by the use of piecewise quadratic polynomials to approximate the unknown dislocation density along the crack. From this density the stress intensity at the crack tip can be determined. To model the situation experimentally photoelastic specimens with various elliptical inclusions are tested in uniaxial tension. The stress intensity factors are evaluated from the isochromatic fringe patterns and compared to those predicted numerically.

Interaction Between an Edge Dislocation and a Rigid Elliptical Inclusion

1986 ◽  
Vol 53 (2) ◽  
pp. 382-385 ◽  
Author(s):  
M. H. Santare ◽  
L. M. Keer
Keyword(s):  
Rigid Body ◽  
Edge Dislocation ◽  
Complex Potential ◽  
Closed Form Solution ◽  
Elastic Field ◽  
Form Solution ◽  
Two Dimensional ◽  
Elliptical Inclusion ◽  
Contour Plots ◽  
Rigid Elliptical Inclusion

A solution is presented for the two-dimensional elastic field created by the interaction of an edge dislocation with a rigid elliptical inclusion. The complex potential approach by Muskhelishvili is used and a closed-form solution is obtained. Contour plots for the glide component of the Peach–Koehler forces are presented. Particular attention is paid to the rigid body of the inclusion with respect to the dislocation.

Elliptical hole enlarged by a rigid elliptical inclusion

1986 ◽  
Vol 62 (1-4) ◽  
pp. 185-188
Author(s):  
C. Perdikis
Keyword(s):  
Elliptical Hole ◽  
Elliptical Inclusion ◽  
Rigid Elliptical Inclusion
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