one of the most valid and efficient models of long rod projectile penetration in homogeneous targets is tate and alekseevskii’s (a&t;) model. based on tate’s model, the present research tries to calculate the optimum speeds to achieve the maximum penetration depth in the homogeneous targets. the proposed collision speed-penetration depth diagrams are developed using tate’s model. in this way, v...

The basic governing equations in anisotropic elastic material under the effect of porous piezothermoelastic are presented. Biot [1], Lord & Shulman [4] and Sherief et al. [5] theories are used to develop the basic equations for porous piezothermoelastic with mass diffusion material. The variational principle, uniqueness theorem and theorem of reciprocity in this model are established under the ...

The paper deals with reciprocity relations in bianisotropic electromagnetic materials. Conditions for reciprocity are expressed and discussed in connection with macroscopic and microscopic level of consideration and with space-time symmetry properties of media. Newly is the connection between microscopic and macroscopic treatment to reciprocity theorem analyzed namely with respect to composed b...

By studying the reciprocity property of linear Diophantine systems in light of Malcev-Neumann series, we present in this paper a new approach to and a generalization of Stanley’s monster reciprocity theorem. A formula for the “error term” is given in the case when the system does not have the reciprocity property. We also give a short proof of Stanley’s reciprocity theorem for linear homogeneou...