DISLOCATIONS IN COUPLE STRESS ELASTICITY.
Technical rept. no. 27,
HONEYWELL RESEARCH CENTER HOPKINS MINN
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The equations of linear couple stress elasticity are used to find stress distributions due to the simple edge and screw dislocations in a hollow circular cylinder. The stress fields resulting from the edge dislocation are found to deviate considerably from their classical values as the radius of the dislocation core approaches the characteristic length of the couple stress media. Furthermore, couples exist on the ends of the cylinder in order to maintain a state of plane deformation. For a screw dislocation along the axis of a circular cylinder the resulting twist is found to decrease from its classical value as the radius of the cylinder approaches the characteristic length of the media. Author