SHOCK WAVES IN SOLIDS.
BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
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A study of the literature was made concerning the propagation of finite waves in nonlinear materials. This report includes a brief review of some of the significant contributions that resulted from this study. Results of both experiment and analysis were reviewed and the general state-of-the-art was determined. The majority of the effort was found to be centered on 1 general theories of nonlinear wave propagation, 2 experiments on finite amplitude waves, 3 determination of constitutive equations to describe nonlinear behavior, and 4 development of numerical methods of solution to describe wave propagation in nonlinear materials. Simultaneously, a computer program was developed using the method of finite differences for the solution of an initial boundary value problem. Some calculations were made for the propagation of waves in a nonlinear elastic material. This was intended to be compared with experimental results obtained at the Ballistic Research Laboratories. Author