Abstract
In the linear theory of micropolar elasticity, the problem of a penny-shaped crack in a transverse field of constant uniaxial tension is studied. By means of Hankel transforms and dual integral equations the problem is reduced to a regular Fredholm integral equation of the second kind and is then solved numerically. The singular fields arising at the crack-tip are studied in detail and the results are compared with those of the couple stress theory. Classical results are derived as limiting case. The stress environment at the periphery of the crack is found to depend on, apart from Poisson's ratio and a material length-parameter, another parameter which characterises the coupling of the microstructure with the displacement field. This parameter does not occur in the analogous problem in couple stress theory.
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