Effect of Couple-Stresses on Force Transfer Between Embedded Microfibers

摘要

The present report is a continuation of the Weitsman problem (see AD-266 850). The investigation is concerned with the nature of the stress field which develops in the presence of couple-stresses in composite material formed of microfibers embedded in a filler substance. The case is considered when one row consists of an infinitely long microfiber, while the second row is composed of two semi-infinite microfibers. An exact solution, based on a two-dimensional theory of elasticity with inclusion of couple-stresses is obtained for the stress field which is activated by giving the two semi-infinite microfibers a tangential displacement of separation. The couple-stress theory gives a better representation of the actual physical phenomenon than the classical theory of elasticity. This is especially true and essentially important for bodies having a dimension comparable to the crystal lattice parameter of the material. This is believed to be the case with an elastic microfilm in bond with microfibers. (Author)