Study of the dynamic mechanical behavior of PBX by Eshelby theory

The dynamic mechanical behavior of PBX1314 is examined by means of a micromechanical model. The basis for this work is Eshelby theory. The effective moduli derived by Weng and Tandon are used for the randomly oriented two-phase composites. The dynamic mechanical behavior of the PBX1314 is described as a function of aspect ratio and inclusion concentration. The viscoelastic behavior of the polymer binder is modeled using a generalized Maxwell model with a Prony series representation for the stress relaxation functions. Numerical inverse Laplace transform required by the model can be performed analytically. To demonstrate the utility and validity of the theory, we compare its predictions to several dynamic compressive experiments on the PBX1314. We also compare the predictions of the present model to the theoretical results derived by Mas and Clements. Their studies can be used to assess the properties of energetic composites, and this method is a useful tool for the design of energetic composites.