• Home
  • Search
  • Hierarchical Biomechanics: Concepts, Bone as Prominent Example, and Perspectives Beyond
  • Cite Icon26
  • https://doi.org/10.1115/1.4055032Copy DOI Icon

Hierarchical Biomechanics: Concepts, Bone as Prominent Example, and Perspectives Beyond

Show More
  • Abstract
  • Highlights & Summary
  • PDF
  • Literature Map
  • References
  • Citations
  • Similar Papers
Abstract

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.

Loading PDF

Similar Papers
  • Research Article
  • Citations37

Effect of aggregate shapes on local fields in 3D mesoscale simulations of the concrete creep behavior

  • Jan 21, 2019
  • Finite Elements in Analysis and Design
  • Fabien Bernachy-Barbe +1
  • Conference Article
  • Citations3

Thermal and Acoustical Insult to Cells as Studied by In-Vivo Acoustic Microscopy

  • Jan 01, 2002
  • B R Tittmann +1
  • Conference Article
  • Citations3

Non-destructive Assessment of the Porosity in Silver (Ag) Sinter Joints Using Acoustic Waves

  • May 01, 2018
  • Sebastian Brand +7
  • Research Article
  • Citations7

Location resolved transient thermal analysis to investigate crack growth in solder joints

  • Sep 18, 2017
  • Microelectronics Reliability
  • E Liu +4
  • Research Article
  • Citations20

Evaluation of diffusion bonds formed between superplastic sheet materials

  • Oct 01, 1996
  • Journal of Materials Science
  • Z C Wang +4
  • Research Article
  • Citations2

Modelling and electro-hygrothermo-mechanical reliability analyses of leadless dual IC packages

  • Jan 01, 2014
  • International Journal of Computer Aided Engineering and Technology
  • K Balaguru +2
  • Research Article
  • Citations42

Parametric study of the effect of phase anisotropy on the micromechanical behaviour of dentin-adhesive interfaces.

  • May 10, 2005
  • Journal of The Royal Society Interface
  • Anil Misra +4
  • Research Article
  • Citations3

Preliminary Design of a High-Frequency Phased-Array Acoustic Microscope Probe for Nondestructive Evaluation of Pressure Vessel and Piping Materials

  • Jun 26, 2018
  • Journal of Pressure Vessel Technology
  • Jeong Nyeon Kim +2
  • Research Article
  • Citations55

Application of scanning acoustic microscopy for assessing stress distribution in atherosclerotic plaque.

  • Dec 01, 2001
  • Annals of Biomedical Engineering
  • Yoshifumi Saijo +5
  • Research Article
  • Citations68

Multiphasic Finite Element Framework for Modeling Hydrated Mixtures With Multiple Neutral and Charged Solutes

  • Sep 23, 2013
  • Journal of Biomechanical Engineering
  • Gerard A Ateshian +2
  • Research Article
  • Citations5

Analysis of Non-Destructive Testing Ultrasonic Signal for Detection of Defective Materials Based on the Simulink Matlab Mathematica Computation Method

  • Feb 26, 2021
  • Science, Technology and Communication Journal
  • Ade Febrianti +2
  • Conference Article

Analysis of Shrinkage Cracking of a Slab on the Ground Using a Probabilistic and Deterministic Approach

  • Jan 21, 2026
  • Aleksandar Landović +1
  • Research Article
  • Citations18

Stress-driven nonlocal homogenization method for cellular structures

  • Oct 02, 2024
  • Aerospace Science and Technology
  • Shuo Li +4
  • Research Article

A Review on Biomechanics and Development of Finite Element Models of Human Head Neck System

  • May 31, 2023
  • International Journal for Research in Applied Science and Engineering Technology
  • Lilia Dominic
  • Research Article
  • Citations96

A Model of Fibroblast Motility on Substrates with Different Rigidities

  • Jun 01, 2010
  • Biophysical Journal
  • Irina V Dokukina +1
Cactus Communications logo

Copyright 2026 Cactus Communications. All rights reserved.