The effective properties for a laminar elastic spatial-temporal composite were investigated. The condition of plane strain was imposed on a bulk of an elastic material that possesses a periodic laminar microstructure in space-time. The dynamic case was investigated, and expressions were found for average material properties. An additional force, of Coriolis type, was found in the averaged equations of elastodynamics due to the presence of simultaneous change in both inertial and elastic properties of original material constituents. The appearance of a Coriolis force is a consequence of both dynamics and plane strain; it doesn't arise in the case of one dimensional strain that is typical for longitudinal dynamic disturbances that propagate along an elastic bar.
Worcester Polytechnic Institute
Major Qualifying Project
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