LAUSR

A technique for the numerical analysis of nonlinear dynamic deformation and progressive failure of cylindrical glass-fiber plastic shells is developed with account of their strain-rate-dependent strength characteristics. The kinematic model of deformation of a layer package is based on a nonclassical theory of shells. The geometrical relations are constructed using the simplest quadratic variant of nonlinear elasticity theory. The relationship between the stress and strain tensors in a composite macrolayer is established on the basis of Hooke’s law for an orthotropic body, with account of volatility of the stiffness and strength characteristics of the multilayer package due to a local failure of some elementary layers of the composite and the strain-rate dependence of strength characteristics. An energy-consistent resolving system of dynamics equations for composite cylindrical shells is obtained as a result of minimization of the functional of total energy of the shell as a three-dimensional body. The numerical method for solving the initial boundary-value problem is based on an explicit variationaldifference scheme. The reliability of the technique developed was confirmed by a satisfactory agreement of calculation results with experimental data. For different shell reinforcement structures, qualitative differences in the character and size of failure zones were found, which were calculated by the model considering the strain-rate dependence of strength or their constancy.