HOMOGENEOUS OPTIMAL DESIGN OF A FINITE ELASTIC STRIP SUBJECTED TO TRANSIENT LOADING

Abstract eng:
We investigate wave propagation in a finite elastic strip subjected to free-fixed boundary conditions. Our goal is to find a design of functionally graded materials (FGMs) that provides the smallest amplitude of stress during the wave propagation along the strip. We are able to show that within a class of FGMs, the homogeneous design provides the smallest stress amplitude. In the special case of two layers, we identify the class of all optimal designs and the time intervals when the stress reaches its peak values. The benefit of this work is that it provides general practical observations for manufacturing of multilayered lightweight armor. The results obtained here are used to validate a purely numerical scheme using finite elements.

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