Multiscale Biomechanics - 1st Edition - ISBN: 9781785482083

Multiscale Biomechanics

1st Edition

Editors: Jean-Francois Ganghoffer
Hardcover ISBN: 9781785482083
Imprint: ISTE Press - Elsevier
Published Date: 1st June 2018
Page Count: 300
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Description

Multiscale Biomechanics will provide multiscale models of the static and dynamic properties of both soft and hard biological tissues, based on micromechanical analysis. The necessary physiological aspects of bones and biological membranes will be introduced as a basis, before micromechanical models to compute their overall mechanical response will be exposed. A modern account of continuum mechanics of growth and remodeling, generalized continuum models to capture internal lengths scales, dedicated homogenization methods will be given to provide the reader with the necessary theoretical foundations. The presented models will give rise to numerical developments to compute the effective mechanical response of bones considering both their static and evolutive responses due to internal and external remodeling. The mechanics of biological membranes will be handled thanks to discrete homogenization techniques suitable for networks of filaments, extended to the large strain regime to account for their inherent geometrical nonlinearities.

A clear exposition of multiscale methods for fibrous media based on discrete homogenization, the consideration of generalized continua constitutive models for bone, a presentation of recent theoretical and numerical advances for bone remodeling and growth, are major features of the textbook which makes it different from other textbooks in Biomechanics. The necessary theoretical background will be exposed in a clear and self-contained manner. A reminder of continuum mechanics and more advanced background related to differential geometry, configurational mechanics, mechanics of growth, thermodynamics of open systems and homogenization methods will be given in separate chapters. Numerical aspects will be treated in details, and simulations will be presented to illustrate the models.

Key Features

  • Clear exposition of multiscale methods for fibrous media based on discrete homogenization, the consideration of generalized continua constitutive models for bone
  • Presentation of recent theoretical and numerical advances for bone remodeling and growth
  • The necessary theoretical background will be exposed in a clear and self-contained manner
  • A reminder of continuum mechanics and more advanced background related to differential geometry, configurational mechanics, mechanics of growth, thermodynamics of open systems and homogenization methods will be given in separate chapters
  • Numerical aspects will be treated in details, and simulations will be presented to illustrate the models

Readership

Researchers (from master level students to senior researchers) interested in multiscale models and numerical prediction tools for soft and hard living tissues. Students and researchers interested in modern approaches to formulate advanced constitutive models for living tissues, considering their static and evolutive (growth, remodeling) response

Table of Contents

Part 1. Theoretical Basis: Continuum Mechanics, Homogenization Methods, Thermodynamics of Growing Solid Bodies
1. Tensor Calculus Jean-François GANGHOFFER
2. Continuum Mechanics Jean-François GANGHOFFER
3. Constitutive Models of Soft and Hard Living Tissues Jean-François GANGHOFFER
4. Discrete Homogenization of Network Materials Jean-François GANGHOFFER and Khaled EL NADY
5. Mechanics and Thermodynamics of Volumetric and Surface Growth Jean-François GANGHOFFER

Part 2. Multiscale Bone Mechanics
6. Micropolar Models of Trabecular Bone Jean-François GANGHOFFER and Ibrahim GODA
7. Size-Dependent Dynamic Behavior of Trabecular Bone Jean-François GANGHOFFER, Ibrahim GODA, Rachid RAHOUADJ
8. Prediction of Size Effects in Bone Brittle and Plastic Collapse Jean-François GANGHOFFER and Ibrahim GODA
9. Multiscale Aspects of Bone Internal and External Remodeling Jean-François GANGHOFFER and Ibrahim GODA
10. Integrated Remodeling to Fatigue Damage Model of Bone Jean-François GANGHOFFER and Ibrahim GODA

Part 3. Mechanics of Soft Biological Tissues: The Intervertebral Disk, Biological Networks, Ligaments and Tendons
11. Micromechanics of the Intervertebral Disk Adrien BALDIT
12. Effective Mechanical Response of Biological Membranes Khaled EL NADY, Jean-François GANGHOFFER and Ibrahim GODA
13. Micromechanics of Ligaments and Tendons Cédric LAURENT

Details

No. of pages:
300
Language:
English
Copyright:
© ISTE Press - Elsevier 2018
Published:
Imprint:
ISTE Press - Elsevier
Hardcover ISBN:
9781785482083

About the Editor

Jean-Francois Ganghoffer

Jean-Francois Ganghoffer is a Professor at l'École nationale supérieure d'électricité et de mécanique (ENSEM), the Institut national polytechnique de Lorraine (INPL) in Nancy with expertise in Mechanical Engineering and Bioengineering.

Affiliations and Expertise

Professor, LEMTA – Universite de Lorraine