Abstract
This work is aiming at analyzing the vorticity vector in 2D of deformable inclusions with the help of analytical techniques. The considerations made are first, inclusions are initially spherical, deformable; second, strain distribution within the inclusions are not homogeneous . The ratio of inclusion diameter (“a”) to mean inter-inclusion distance (“b”) that is (a/b) is less than about 0.6 .Considering ‘strain rate’ as natural strain the rate is infinitesimally small . Vorticity of particles inside the inclusions is also estimated while accounting different competency contrast conditions between matrix and inclusions. It is seen that competency contrast is inversely proportional to the vorticity value. Also after a threshold value the vorticity spin becomes opposite in directional sense. Probable reasons for this hiatus are discussed. Keywords: Deformable Ductile Inclusions, Pure Shear, Vorticity, Viscosity / Competency Contrast.
Highlights
In this work vorticity along the radius of the inclusion is estimated under pure shear compression with varying viscosity ratio between matrix and inclusions of the system
The fluctuation of vorticity value along the radius of a deformable inclusion for a fixed “m” value is very low which is evident from the figure
Vorticity decreases with increasing radius of the inclusion there might be an exception if competency contrast is very high
Summary
The ratio of inclusion diameter (“a”) to mean inter-inclusion distance (“b”) that is (a/b) is less than about 0.6 .Considering ‘strain rate’ as natural strain the rate is infinitesimally small . Vorticity of particles inside the inclusions is estimated while accounting different competency contrast conditions between matrix and inclusions.
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