抄録
The wave propagation and the buckling phenomena are studied theoretically for the elastic composite materials reinforced with inextensible rigid fibers. Three kinds of inextensible elastic materials are taken into consideration, that is, the materials with one, two and three directions of inextensible fibers. The constitutive equations are obtained, where the indefinite normal stresses occur along the directions of the inextensible fibers. The acceleration waves of singular surface and the small sinusoidal waves are adopted. Depending upon the propagation direction, the wave characters change. When propagation direction is not perpendicular to a fiber for the material with one inextensible direction, a quasi-longitudinal wave and two transverse waves may propagate, where the amplitude vectors are perpendicular to the fiber. If the material is compressed along the fiber the waves propagate with lower velocities. There are two critical stress values. If the stress is less than the lower critical value, the wave can not exist. If the stress is between two critical values, the quasi-longitudinal wave can exist but the transverse wave can not. If the stress is equal to one of the critical values, some statical deformations may occur, and the buckling phenomena appear. The waves and buckling phenomena are also investigated for the materials with two and three inextensible directions.
