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Multiscale Biomechanics provides new insights on multiscale static and dynamic behavior of both soft and hard biological tissues, including bone, the intervertebral disk, biologica… Read more
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Multiscale Biomechanics provides new insights on multiscale static and dynamic behavior of both soft and hard biological tissues, including bone, the intervertebral disk, biological membranes and tendons. The physiological aspects of bones and biological membranes are introduced, along with micromechanical models used to compute mechanical response. A modern account of continuum mechanics of growth and remodeling, generalized continuum models to capture internal lengths scales, and dedicated homogenization methods are provided to help the reader with the necessary theoretical foundations. Topics discussed include multiscale methods for fibrous media based on discrete homogenization, generalized continua constitutive models for bone, and a presentation of recent theoretical and numerical advances.
In addition, a refresher on continuum mechanics and more advanced background related to differential geometry, configurational mechanics, mechanics of growth, thermodynamics of open systems and homogenization methods is given in separate chapters. Numerical aspects are treated in detail, and simulations are presented to illustrate models.
This book is intended for graduate students and researchers in biomechanics interested in the latest research developments, as well as those who wish to gain insight into the field of biomechanics.
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
JG
Jean-François Ganghoffer was a CNRS fellow from 1992 to 2000, before being hired as full Professor of mechanics in Université de Lorraine (Nancy, France), where he is currently active. He is the head of the biomechanics team of LEM3, the Laboratoire d’Etude des Microstructures et de Mécanique des Matériaux. He is the leader of a national Federation of Laboratories (IMOA, Ingénierie Mécanobiologie ostéoarticulaire, FR CNRS 2003) in the field of osteoarticular mechanobiology. He has been the Director of a GDR research group on fibrous media. His activities cover bone biomechanics, homogenization methods, mechanics of fibrous media, the multiphysical behavior of architected materials, and topology optimization methods. He has developed different types of bone remodeling models over the past decade, and he has been more recently considering piezoelectric and flexoelectric effects in bone. He is the author of about 300 scientific papers in international journals. He has been invited to many conferences and universities for both research and teaching activities (ETHZ, Georgia Tech Metz, TU Delft, TU Eindhoven, UBC, Vancouver). He is collaborating with many universities worldwide (Brazil, Germany, Italy, Bulgaria, Poland, Canada, US), and he has been invited to deliver lectures at many international conferences. He has published two books, including the monograph ‘Multiscale Biomechanics’ in Wiley in 2018. He is the frequent reviewer for over twenty international journals. He received several distinctions, including the Beltrami Prize in 2017, the Grand Prix de la Société Industrielle de l’Es in 2005, and the scientific award of excellence by the French Ministry of Research more than 10 years.