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First Axisymmetric Problem of Micropolar Elasticity with Voids

Navneet Rana

The theory of elasticity in its broad aspects deals with a study of the behavior of these substances which possess the property of recovering their size and shape when forces producing deformation are removed. In theory of micropolar elasticity, a body was assumed consisting of interconnected particles in the form of small rigid bodies undergoing translational motion as well as rotational motion. The presence of small pores or voids, in the constituent materials can also be formally introduced in a continuum model. This paper is an attempt to explain an axisymmetric problem of a homogeneous isotropic micropolar elastic medium with voids subject to a set of normal point sources by employing the eigen value approach. The analytical expression of displacement components, microrotation, force stresses, couple stresses and volume fraction field have been derived for micropolar elastic solid with voids.