Micropolar elastic multi-laminate composites and the bioinspired integration for enhanced bone reconstruction

Reinaldo Rodriguez Ramos (University of Havana, Cuba)

Monday 20th May 10:40-11:20 Lecture Theatre 116

Abstract

The two-scale asymptotic homogenization method is applied to find the effective properties of periodic laminated Cosserat media with centro-symmetric constituents and perfect/imperfect interface contact conditions. Imperfect interface means that tractions and coupled stress are continuous but displacements and microrotations are discontinuous across the imperfect interface. The jumps in the displacement and microrotation components are proportional to their respective interface traction and coupled stress components in terms of a partition of different spring-factor-type interface parameters. Series expansions are proposed as a function of micro-macro structures for the displacement and microrotation fields. The local problems are solved;

the effective properties are given as a function of the material properties of the constituents, the volume fractions of the phases and the imperfection parameters. Numerical results are reported and discussed for a bi-laminated Cosserat composite assuming multiple interface imperfection partitions and different ranges for the imperfection parameter values. Fibonacci structures under perfect contact adhesion are also analyzed. The effects of imperfections and the rotations of the constitutive materials properties of each layer on the effective properties are illustrated. Furthermore, considering the micropolar media’s prevalence in bio-inspired systems, the model’s applicability is evaluated for reconstructing bone fractures using multi-laminated bio-composites. An important finding in this bio-inspired simulation is related to the analysis of a periodic bi-laminated micropolar composite whose isotropic constituents are a bio-ceramic material and a compact bone. This artificial bio-inspired material should integrate with host tissue to support cell growth, be stable and compatible. These characteristics are crucial in the enhancement of the fractured bone.

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