
Finite Element Analysis of Bone Remodeling - Implementation of a Remodeling Algorithm in MATLAB and ANSYS
Martin Groß(Author)
GRIN Verlag
1st Edition
Published on 18. August 2008
108 pages
978-3-640-13993-4 (ISBN)
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Master's Thesis from the year 2006 in the subject Medicine - Biomedical Engineering, grade: 1.0, Technical University of Munich (LS Statik), course: Master of Science of Computational Mechanics, language: English, abstract: The process of adaptive bone remodeling can be described mathematically and simulated in a computer model, integrated with the finite element method. The main focus of this thesis is the implementation of a bone remodeling algorithm in MATLAB and ANSYS on the basis of FEM. The strain energy density is used as mechanical stimulus. The cortical and trabecular bone are described as continuous materials with variable density. This thesis can be divided into four main parts. The first part is due to the material properties of cortical and trabecular bone. The second part is about the remodeling theory and gives an historical review of the developed numerical approaches up to now. The implementation of the remodeling algorithm in ANSYS and MATLAB as well as its validation is topic of part three. In last main part, the algorithm is applied to a 2D FE-model of a human proximal femur.
More details
Edition
1. Auflage
Language
English
Place of publication
München
Germany
File size
7,98 MB
ISBN-13
978-3-640-13993-4 (9783640139934)
Schweitzer Classification
Other editions
Additional editions

Martin Gross
Finite Element Analysis of Bone Remodeling. Implementation of a Remodeling Algorithm in MATLAB and ANSYS
Book
08/2008
3rd Edition
Grin Verlag
€47.95
Shipment within 7-9 days
Content
- Intro
- Contents
- List of Figures
- List of Tables
- Introduction
- Motivation
- Aim
- Bone as Material
- Composition of Bone
- Difference between Cortical and Cancellous Bone
- Material Properties of Bone Tissue
- Cortical Bone Tissue
- Cancellous Bone Tissue
- Bone Remodeling - From Nature to Model
- Remodeling Theory
- Difference between Modeling and Remodeling
- The Remodeling Process
- Basic Multicellular Unit
- Remodeling Cycle Duration
- Types of Remodeling
- Osteonal Remodeling
- Trabecular Remodeling
- Endosteal and Periosteal Remodeling
- Theories from the Beginning up to now
- Mechanically Excited Bone Adaption Theories (1865 -1920)
- Bone Adaptation: General Relationships of Mechanics to Bone Physiology (1920 - 1970)
- Bone Adaptation: Experimental Study of Mechanically Mediated Bone (1970 - 1984)
- Theories of Bone Adaptation: Numerical Simulations (1985 to present)
- Simulation of Remodeling
- Implementation of Optimization Algorithm
- Reference System
- Material Properties
- Load
- Optimization Part
- Stimulus
- Adaptation Functions
- Convergence Criteria
- Results
- Reference System 1
- Reference System 2
- Convergence behavior
- Applications
- Modeling of Human Proximal Femur
- Load Definitions
- Initial Configuration and Boundary Conditions
- Results
- Proximal Femur with Stepwise Adaptation Function
- Initial Homogeneous Density Distribution
- Initial Stochastic Density Distribution
- Proximal Femur with Linear Adaptation Function
- Initial Homogeneous Density Distribution
- Initial Stochastic Density Distribution
- Convergence
- Discussion
- Approach
- Details of Algorithm
- Building the Model
- Development of Bone Structure
- Convergence Behavior
- Conclusion and Outlook
- Index
- Bibliography
- Implementation in MATLAB and ANSYS
- MATLAB main file run.m
- ANSYS macro
- MATLAB function dr.m
- Basic Anatomic Terminology
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