The materials are assumed to behave linearly elastic under conditions of plane strain and the fibers are considered to be straight and parallel to each other. It is shown that the stress functions contain hyperbolic as well as elliptic components. However, when the assumption of fiber inextensibility had been relaxed, the hyperbolic components, which are not commonly encountered in linear elasto-statics, disappeared. In this manner the presence of the hyperbolic functions has been traced in full detail to the assumption of fiber inextensibility. A specific boundary value problem has been solved for both extensible and inextensible fibers. A comparison of the results provides a useful indicator as to the validity and applicability of the assumption of fiber inextensibility.
|Number of pages||7|
|State||Published - 1975|