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.
- Provides a clear exposition of multiscale methods for fibrous media based on discrete homogenization and the consideration of generalized continua constitutive models for bone
- Presents recent theoretical and numerical advances for bone remodeling and growth
- Includes the necessary theoretical background that is exposed in a clear and self-contained manner
- Covers continuum mechanics and more advanced background related to differential geometry, configurational mechanics, mechanics of growth, thermodynamics of open systems and homogenization methods
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.
