Nonlinear creep of plastics under random loads

A closed system of equations in moment functions is derived for the geometrically linear, but physically and statistically nonlinear, boundary value problem of the theory of creep of isotropic plastics, homogeneous in the starting state, in the presence of random loads with small variances (within the framework of the applied theory of random functions). The boundary value problem is solved by constructing successive approximations. The convergence of the approximations is illustrated with reference to stress relaxation in a rod of uniaxially reinforced plastic subjected to a random axial load.Mekhanika Polimerov, Vol. 4, No. 2, pp. 237–245, 1968