Institute of Fundamental Technological Research
Polish Academy of Sciences

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Guillaume Häiat

CNRS (FR)

Recent publications
1.  Colabella L., Cisilino A.P., Häiat G., Kowalczyk P., Mimetization of the elastic properties of cancellous bone via a parameterized cellular material, Biomechanics and Modeling in Mechanobiology, ISSN: 1617-7959, DOI: 10.1007/s10237-017-0901-y, Vol.16, No.5, pp.1485-1502, 2017

Abstract:
Bone tissue mechanical properties and trabecular microarchitecture are the main factors that determine the biomechanical properties of cancellous bone. Artificial cancellous microstructures, typically described by a reduced number of geometrical parameters, can be designed to obtain a mechanical behavior mimicking that of natural bone. In this work, we assess the ability of the parameterized microstructure introduced by Kowalczyk (Comput Methods Biomech Biomed Eng 9:135–147, 2006. doi:10.1080/10255840600751473) to mimic the elastic response of cancellous bone. Artificial microstructures are compared with actual bone samples in terms of elasticity matrices and their symmetry classes. The capability of the parameterized microstructure to combine the dominant isotropic, hexagonal, tetragonal and orthorhombic symmetry classes in the proportions present in the cancellous bone is shown. Based on this finding, two optimization approaches are devised to find the geometrical parameters of the artificial microstructure that better mimics the elastic response of a target natural bone specimen: a Sequential Quadratic Programming algorithm that minimizes the norm of the difference between the elasticity matrices, and a Pattern Search algorithm that minimizes the difference between the symmetry class decompositions. The pattern search approach is found to produce the best results. The performance of the method is demonstrated via analyses for 146 bone samples.

Keywords:
Cancellous bone, Parameterized microstructure, Elastic properties, Homogenization, Symmetry classes, Optimization

Affiliations:
Colabella L. - CONICET-National University of Mar del Plata (AR)
Cisilino A.P. - CONICET-National University of Mar del Plata (AR)
Häiat G. - CNRS (FR)
Kowalczyk P. - IPPT PAN

Conference abstracts
1.  Colabella L., Cisilino A., Fachinotti V., Kowalczyk P., Häiat G., Structural hierarchical multiscale optimization using a parameterized mimetic cancellous microstructure, EUROMECH 594, EUROMECH Colloquium 594: Bone remodeling: multiscale mechanical models and multiphysical aspects, 2018-05-15/05-17, Nancy (FR), pp.15-15, 2018

Keywords:
multiscale structural optimization, biomimetic microstructures, finite element analysis

Affiliations:
Colabella L. - CONICET-National University of Mar del Plata (AR)
Cisilino A. - CONICET-National University of Mar del Plata (AR)
Fachinotti V. - Universidad Nacional del Litoral (AR)
Kowalczyk P. - IPPT PAN
Häiat G. - CNRS (FR)

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