Plane Strain of a Net Formed by Inextensible Cords

Abstract

In this paper we consider the mechanics of a plane net formed by two families of parallel inextensible cords. We assume that, in the undeformed state of the net, the cords are straight. We assume also that the cords are perfectly flexible and thin in comparison with the distance between adjacent cords of a family, and that the deformation is such that when the net is deformed no two cords of a family are brought into contact. Furthermore, we assume that intersecting cords of the two families cannot move relative to each other at their points of intersection, as a result of the deformation. Such a net provides an idealisation of certain types of textile fabric.

This work was carried out on behalf of the B. F. Goodrich Company. The author gratefully acknowledges their support and encouragement.