MATHEMATICAL-MODEL FOR THE LINEAR DYNAMIC BEHAVIOR OF 2 PHASE PERIODIC MATERIALS

In this study, a mathematical model is developed for two phase materials with the object of using it for predicting the response of masonry walls to dynamic inputs. The method employed here uses the theory of mixtures applied to a two phase material in which the phases reflect a periodic structure and in which each phase is linearly elastic. Employing the fundamental equations of the theory of mixtures, the governing equations of a linear approximate theory are established. The theory, valid for an arbitrary direction of motion, replaces the composite by a homogeneous, two phase, anisotropic, elastic solid. It accommodates the dispersive nature of the composite by means of an elasto-dynamic operator, which is introduced into the constitutive relations of the linear momentum iteractions. © 1979.