Applications of homogenization theory to the study of mineralized tissue /

Homogenization is a fairly new, yet deep field of mathematics which is used as a powerful tool for analysis of applied problems which involve multiple scales. Generally, homogenization is utilized as a modeling procedure to describe processes in complex structures. Applications of Homogenization The...

Full description

Bibliographic Details
Main Authors:	Gilbert, Robert P., 1932- (Author), Vasilic, Ana (Author), Klinge, Sandra (Author), Panchenko, Alex (Alexander) (Author), Hackl, K. (Klaus) (Author)
Corporate Author:	Taylor & Francis
Format:	eBook
Language:	English
Published:	Boca Raton : Chapman & Hall/CRC, 2019.
Edition:	1st.
Series:	Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Subjects:	Homogenization (Differential equations) Biology > Mathematical models. Physical sciences > Mathematical models. Homogénéisation (Équations différentielles) Biologie > Modèles mathématiques. Sciences physiques > Modèles mathématiques. MATHEMATICS / Differential Equations MATHEMATICS / Applied Biology > Mathematical models Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Introductory remarks
The homogenization technique applied to soft tissue
Acoustics in porous media
Wet ionic, piezo-electric bone
Visco-elasticity and contact friction between the phases
Acoustics in a random microstructure
Non-Newtonian interstitial fluid
Multiscale FEM for the modeling of cancellous bone
G-convergence and homogenization of viscoelastic flows
Biot type models for bone mechanics
Creation of RVE for bone microstructure
Bone growth and adaptive elasticity.