Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/15740
Title: Hierarchical biomechanics: Concepts, bone as prominent example, and perspectives beyond
Authors: Christian, Hellmich
Ukaj N.
Smeets B.
Oosterwyck H.
Filipovic, Nenad
Zelaya-Lainez, Luis
Kalliauer, Johannes
Scheiner S.
Issue Date: 2022
Abstract: The main motivation for hierarchical biomechanics is that the wide variability of mechanical properties encountered at the macroscopic scale may be traced back to just a few universal or invariant mechanical properties of elementary components at a sufficiently small scale (such as collagen, elastin, and water in case of soft tissues; complemented by hydroxyapatite in case of hard mineralized tissues such as bone), and to the nano-And microstructures which the latter build up. This challenging task requires a physically rigorous and mathematically sound basis, as provided by Finite Element and Fast Fourier Transform methods, as well as by continuum micromechanics resting on (semi-)analytical solutions for Eshelby-Type matrix-inclusion problems. Corresponding numerical and analytical mathematical models have undergone diligent experimental validation, by means of data stemming from a variety of biophysical, biochemical, and biomechanical testing methods, such as light and electron microscopy, ultrasonic testing, and scanning acoustic microscopy, as well as physicochemical tests associated with dehydration, demineralization, decollagenization, ashing, and weighing in air and fluid. While elastic scale transition and homogenization methods have attained a high maturity level, the hierarchical nature of dissipative (i.e., viscous or strength) properties is still a vibrant field of research. This applies even more to hierarchical approaches elucidating the interface between biological cells and extracellular matrices (mechanobiology), to cells interacting in complex biofluids such as blood, and to the intricate and highly undiscovered mechanics unfolding within biological cells.
URI: https://scidar.kg.ac.rs/handle/123456789/15740
Type: article
DOI: 10.1115/1.4055032
ISSN: 0003-6900
SCOPUS: 2-s2.0-85140952144
Appears in Collections:Faculty of Engineering, Kragujevac

Page views(s)

63

Downloads(s)

2

Files in This Item:
File Description SizeFormat 
PaperMissing.pdf
  Restricted Access
29.86 kBAdobe PDFThumbnail
View/Open


Items in SCIDAR are protected by copyright, with all rights reserved, unless otherwise indicated.