Wave Propagation in One-Dimensional Structure of Periodic Inelasticity Composites

Abstract

This study involves the analysis of elastic-plastic-damage dynamics of one-dimensional structures comprising of periodic materials. These structures are composed by multilayer unit cells with different materials. The dynamical characteristics of the composite material present distinct frequency ranges where wave propagation is blocked. The steady-state forced analyses are conducted on a structure constructed from a periodic inelasticity material. The material models have a linear dependence for elasticity problems and non-linear for elastoplasticity-damage problems. This paper discusses the pass and stop-band dispersive behavior of material models on temporal and spatial domains. For this purpose, some structural problems are composed of periodic and damping materials for analysis of vibration suppression have been simulated. This work brings a formulation of Galerkin method for one-dimensional elastic-plastic-damage problems. A time-stepping algorithm for non-linear dynamics is also presented. Numerical treatment of the constitutive models is developed by the use of return-mapping algorithm. For spatial discretization the standard finite element method is used. The procedure proposed in this work can be extended to multidimensional problems, analysis of strain localization, and for others material models.

Design of One-Dimensional Structures With Periodic Inelastic Materials

“…[10] study structural wave propagation in waveguides with slowly randomly varying material and geometrical properties along the axis of propagation; among others. Navarro and Souza-Braun [11] analyzed wave propagation in one-dimensional structure of periodic inelastic composites. Based on investigations by Hussein et al ([8], [9]) and our own previous works ( [11] and [12]), we applied a methodology for design of periodic structure and we applied it for three types of unit cells.…”