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Einrichtungen >> Technische Fakultät (TF) >> Department Maschinenbau (MB) >> Lehrstuhl für Technische Mechanik (LTM, Prof. Steinmann) >>
Bone remodeling - based on equations of continuum damage mechanics

From the engineering point of view, bone is a remarkable material. It displays a fascinating breadth of variation in architecture, varying from compact (cortical bone) to highly porous (trabecular bone). Over a lifetime, only gradual changes in bone architecture and bone mass occur, with a mild reduction of bone mass after the age of 30 as the most obvious one. However, a significant decline in bone mass is found by the age of 65. This condition of excessive bone loss, usually in combination with deteriorated bone architecture, is called osteoporosis. The inferior mechanical quality of osteoporotic bone leads to an increased risk of bone fracture. To develop a more accurate and reliable diagnosis of bone quality, it is necessary to determine mechanical parameters of the bone, in particular its elastic properties, strength and the nonlinear behavior under three dimensional loading, since these are the parameters that determine the fracture risk. In implant dentistry, osseointegrated implants are part of the restorative dentist's therapeutic spectrum and are widely used as single tooth implants for stabilization of removable dentures. In the removal torque test nonlinear curves between torque and torsion angle are reported. The stiffness and the strength depend on the healing time. For more accurate understanding of implant loading, fundamental knowledge of bone adaption is necessary. Up to now, damage evolution equations were proposed for technical materials. Using thermodynamic approach it was shown that for such materials damage is a dissipative process.The classical CDM can be successfully used for the biological material bone. In the case of biological, living materials recovery (or related phenoma such as healing, regeneration, restoration etc.) does take place and should be included in the evolution equations. Recovery is resulting in decrease of the damage parameter now called remodeling parameter. In a general isotropic strain based remodeling model the constitutive elastic equations can be expressed in terms of the volumetric and deviatoric strain with the remodeling evolution law for remodeling parameters and the invariants of the strain tensor. The goal of this project is to simulate bone remodeling under cyclic loading in strain space.
Dr.-Ing. Werner Winter

bone remodeling, damage mechanics

Laufzeit: 1.1.1999 - 31.12.2010

University of Erlangen-Nuremberg

Winter, Werner
Telefon 09131-8528502, Fax 09131-8528503, E-Mail: ltm-sekretariat@fau.de
Winter, Werner: Knochenfestigkeit und hydrostatische Spannungen. In: Biomedizinische Technik 41 (1996), Nr. 7-8, S. 209-212
Winter, Werner ; : Continuum Damage Mechanics and the Behavior of Bone. In: International Association for Dental Research (IADR) (Veranst.) : Proceeding IADR (77th General Session of the International Association for Dental Research Vancover 10.-13.03.). Vancover : IADR, 1999, S. 1136.
Kuhn, Günther ; Winter, Werner ; Ströhla, Stefan: Festigkeit, Schädigung und Stoffgesetz zellularer Metalle unter mehrachsiger Beanspruchung. Erlangen : Friedrich-Alexander-Universität. 2000. - Forschungsbericht. 55 Seiten
Winter, Werner: Indirekte Berechnung von Knochenumbauvorgängen. In: Gesellschaft für angewandte Mathematik und Mechanik (GAMM) (Veranst.) : Book of Abstracts (Annual Scientific Conference Göttingen 02.-07.04.). Göttingen : GAMM, 2000, S. 164.
Winter, Werner: Trabecular Bone Behavior and Remodeling - Based on Equations of Continuum Damage Mechanics. In: ICTAM (Veranst.) : Abstract Book (20th International Congress of Theoretical and Applied Mechanics Chicago, USA Chicago, USA : ICTAM, 2000, S. 150. - ISBN 0073-5264
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