Analytic Solution for Eshelby's Problem of an Inclusion of Arbitrary Shape in a Plane or Half-Plane

1999 ◽  
Vol 66 (2) ◽  
pp. 315-523 ◽  
Author(s):  
C. Q. Ru
Keyword(s):  
Half Plane ◽  
Arbitrary Shape ◽  
Analytic Solution

Some problems concerning the production of a linear shear flow using curved wire-gauze screens

1976 ◽  
Vol 76 (4) ◽  
pp. 689-709 ◽  
Author(s):  
I. P. Castro
Keyword(s):  
Shear Flow ◽  
Incompressible Fluid ◽  
Experimental Work ◽  
Arbitrary Shape ◽  
Practical Problem ◽  
Analytic Solution ◽  
Linear Shear ◽  
Wire Gauze ◽  
The Common ◽  
Small Shear

The flow of an incompressible fluid through a curved wire-gauze screen of arbitrary shape is reconsidered. Some inconsistencies in previously published papers are indicated and the various approximations and linearizations (some of which are necessary for a complete analytic solution) are discussed and their inadequacies demonstrated. Attention is concentrated on the common practical problem of calculating the screen shape required to produce a linear shear flow and experimental work is presented which supports the contention that the theoretical solutions proposed by Elder (1959)–subsequently discussed by Turner (1969) and Livesey & Laws (1973)-and Lau & Baines (1968) are inadequate, although, for the case of small shear, Elder's theory appears to be satisfactory. Since, in addition, there are inevitable difficulties concerning both the value of the deflexion coefficient appropriate to any particular screen and inhomogeneities in the screen itself, it is concluded that the preparation of a curved screen to produce the commonly required moderate to large linear shear flow is bound to be somewhat empirical and should be attempted with caution.

Comments on ?Eshelby inclusion of arbitrary shape in an anisotropic plane or half?plane?

2003 ◽  
Vol 164 (1-2) ◽  
pp. 113-114 ◽  
Author(s):  
P. A. A. Laura ◽  
D. V. Bambill
Keyword(s):  
Half Plane ◽  
Arbitrary Shape ◽  
Eshelby Inclusion
Sign in / Sign up

Export Citation Format

Share Document