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An anisotropic multiphysics damage model with application to annulus fibrosus
Institution:1. Department of Mechanical and Aerospace Engineering, University of Miami, Coral Gables, FL, USA;2. Department of Biomedical Engineering, University of Miami, Coral Gables, FL, USA;1. Department of Sports Medicine and Health Promotion, Friedrich-Schiller University Jena, Wöllnitzer Straße 42, D-07749 Jena, Germany;2. Center of Interdisciplinary Prevention of Diseases related to Professional Activities, Friedrich-Schiller University Jena, D-07737 Jena, Germany;3. Department of Sports and Motion Science, University Stuttgart, Allmandring 28, D-70569 Stuttgart, Germany;4. Department of Sports Management, University Bayreuth, Universitätsstraße 30, D-95440 Bayreuth, Germany;1. Department of Oral Cell Biology and Functional Anatomy, Academic Center for Dentistry Amsterdam (ACTA), University of Amsterdam and VU University Amsterdam, Amsterdam, The Netherlands;2. MOVE Research Institute Amsterdam, University of Amsterdam and VU University Amsterdam, Amsterdam, The Netherlands;3. Biomechanics Section, Department of Mechanical Engineering, KU Leuven, Leuven, Belgium;4. Department of Oral Kinesiology, Academic Centre for Dentistry Amsterdam (ACTA), University of Amsterdam and VU University Amsterdam, Amsterdam, The Netherlands;1. INRIA Paris, 2 Rue Simone Iff, 75012 Paris, France;2. Sorbonne Universités, UPMC Univ. Paris 6, Laboratoire Jacques-Louis Lions, 75252 Paris, France;3. Medical R&D, WBL Healthcare, Air Liquide Santé International, 1 Chemin de la Porte des Loges, 78350 Les Loges-en-Josas, France;4. Department of Mechanical Engineering, Lafayette College, Easton, PA 18042, USA;1. KU Leuven, Institute for Orthopaedic Research and Training, Leuven, Belgium;2. KU Leuven, Lab on Cardiovascular Imaging and Dynamics, Dept. of Cardiovascular Sciences, Leuven, Belgium;3. University Hospitals Leuven, Dept. of Orthopaedics, Campus Pellenberg, Pellenberg, Belgium
Abstract:An anisotropic multiphysics damage model is developed to characterize the couplings among multiple physical fields within soft tissues and the tissue damage based on thermodynamic principles. This anisotropic multiphysics damage model integrates the continuum mixture theory and a continuum damage model, and the anisotropic damage is considered by evolution of internal damage variables governing the anisotropic mechanical behaviors of tissues. The energy dissipation associated with the transport of fluid and ions is generally related to tissue damage. The anisotropic multiphysics damage model is applied to simulate a case of annulus fibrosus (AF) damage in an isolated intervertebral disc under compression, to understand the damage initiation and propagation. It is found that, for this case (with 1000 N/s of compression rate and neglected ground matrix damage), the damage initiated in the outer and middle posterior regions of AF at about 700 N of axial compression. The region-dependent yield stretch ratio predicted by this model is consistent with experimental findings. A sensitive study on the damage parameters is also presented. This study provides an additional insight into AF damage in the isolated disc under mechanical compression.
Keywords:Intervertebral disc  Continuum damage  Multiple physical fields  Finite element analysis
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