A theoretical analysis of surface remodeling in long bones
| Autor: | Dimitrios I. Fotiadis, C.V. Massalas, V.A. Papathanasopoulou |
|---|---|
| Rok vydání: | 2004 |
| Předmět: |
model
Materials science Consolidation (soil) Biot number Quantitative Biology::Tissues and Organs Mechanical Engineering Physics::Medical Physics Poromechanics Long bone General Engineering medullary pin Mechanics Solid metal Quantitative Biology::Cell Behavior medicine.anatomical_structure Bone model adaptive elasticity Mechanics of Materials medicine General Materials Science Boundary value problem |
| Zdroj: | International Journal of Engineering Science. 42:395-409 |
| ISSN: | 0020-7225 |
| DOI: | 10.1016/s0020-7225(03)00070-3 |
| Popis: | In this work, a mathematical analysis of the surface remodeling process initiated in a long bone by the insertion of an endoprosthesis is presented. A poroelastic material description that incorporates the dual (solid plus fluid) phase of bone has been employed based on Biot's theory of consolidation. The theory of small-strain adaptive elasticity proposed by Cowin et al. is modified and used to assign adaptation properties to bone under certain assumptions. A new theoretical approach for surface remodeling is thus developed. The theory is applied to the simplified geometry of a hollow cylindrical bone model filled with a solid metal implant. The model is solved under prescribed boundary conditions and values of the phenomenological constants involved. A qualitative estimate for the movement of the endosteal and periosteal surfaces with remodeling time is obtained, for various values of initial radii and thicknesses of bone. (C) 2003 Published by Elsevier Ltd. International Journal of Engineering Science |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect