Abstract
Theme T transient response is obtained for a finite longitudinally multilayered cylindrical membrane shell impacted by longitudinal axisymmetric loads. The shell is composed of layers running lengthwise where each layer is made of a different isotropic material. Membrane stress distribution and velocities of particles are determined for the entire solution domain. The method of solution consists of a characteristics finite difference technique and discontinuity relations. A characteristics finite difference integration scheme is constructed for regions where the variables are continuous. Discontinuity relations are developed for an impulsive leading wave and its reflection and refraction at the interfaces. A problem is solved demonstrating this method. This paper is an extension of a previous work where the composed shell was confined to two special layers. The present generalized analysis is valid for any number of layers, unrestricted to length or material properties.
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