| Abstract: | The motion problem of unidirectional glass-fiber-reinforced plastic is formulated under the assumption that the fibers are under stress-strain only, while the binder is under shear stress only. The binder and fiber inertia is calculated along a direction parallel to the fibers. The system of equations in partial derivatives obtained is reduced by Laplace transformation with respect to time to a system of ordinary differential equations in which only the fiber displacements occur. As illustration, the effect of a normal stress wave on a half space is solved. The solution is obtained in the form of an infinite series provided with an explicit law by which the terms are obtained. Curves are presented for the distribution of the normal and shearing stresses at different moments of time. The binder inertia reduces to the appearance of tangential stresses at the fiber-binder boundary, which can explain the tendency towards stratification in constructions made of glass fiber-reinforced plastic.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 139–145, July–August, 1974. |
