Application of the finite element method in implant dentistry / Jianping Geng, Weiqi Yan, Wei Xu (editors).

Format:

Book

Contributor:

Geng, Jianping.

Yan, Weiqi.

Xu, Wei, Dr.

Series:

Advanced topics in science and technology in China

Language:

English

Subjects (All):

Dental implants.

Finite element method.

Physical Description:

xiii, 137 pages : illustrations ; 24 cm.

Place of Publication:

Berlin ; London : Springer ; Hangzhou : Zhejiang University Press, 2008.

Summary:

Part of the new series, Advanced Topics in Science and Technology in China, this book is designed to give the necessary theoretical foundation to new users of the finite element method in implant dentistry, and show how both the implant dentist and designer can benefit from finite element analysis. The first part deals with the theory of the finite element method, containing the necessary mathematical theory but written so that readers from a dental background can easily understand. Then basic knowledge of implant dentistry is introduced to readers from an engineering background. Next, dental implant applications, and the critical issues of using finite element analysis for dental implants are discussed, followed by aspects of dental implant modeling. Finally, two popular commercial finite element software programs, ANSYS and ABACUS, are introduced for dental finite element analysis.

Contents:

1 Finite Element Method / N. Krishnamurthy 1

1.2 Historical Development 1

1.3 Definitions and Terminology 5

1.4 Flexibility Approach 7

1.5 Stiffness Formulation 7

1.5.1 Stiffness Matrix 7

1.5.2 Characteristics of Stiffness Matrix 9

1.5.3 Equivalent Loads 10

1.5.4 System Stiffness Equations 11

1.6 Solution Methodology 11

1.6.1 Manual Solution 11

1.6.2 Computer Solution 12

1.6.3 Support Displacements 13

1.6.4 Alternate Loadings 13

1.7 Advantages and Disadvantages of FEM 14

1.8 Mathematical Formulation of Finite Element Method 15

1.9 Shape Functions 16

1.9.1 General Requirements 16

1.9.2 Displacement Function Technique 17

1.10 Element Stiffness Matrix 18

1.10.1 Shape Function 18

1.10.2 Strain Influence Matrix 18

1.10.3 Stress Influence Matrix 19

1.10.4 External Virtual Work 19

1.10.5 Internal Virtual Work 20

1.10.6 Virtual Work Equation 21

1.11 System Stiffness Matrix 21

1.12 Equivalent Actions Due to Element Loads 24

1.12.1 Concentrated Action inside Element 25

1.12.2 Traction on Edge of Element 26

1.12.3 Body Force over the Element 26

1.12.4 Initial Strains in the Element 27

1.12.5 Total Action Vector 28

1.13 Stresses and Strains 29

1.14 Stiffness Matrices for Various Element 29

1.15 Critical Factors in Finite Element Computer Analysis 30

1.16 Modelling Considerations 30

1.17 Asce Guidelines 33

1.18 Preprocessors and Postprocessors 35

1.18.1 Preprocessors 35

1.18.2 Postprocessors 36

1.19 Support Modelling 37

1.20 Improvement of Results 37

2 Introduction to Implant Dentistry / Rodrigo F. Neiva, Hom-Lay Wang, Jianping Geng 42

2.1 History of Dental Implants 42

2.2 Phenomenon of Osseointegration 43

2.3 The Soft Tissue Interface 46

2.4 Protocols for Implant Placement 48

2.5 Types of Implant Systems 48

2.6 Prosthetic Rehabilitation 49

3 Applications to Implant Dentistry / Jianping Geng, Wei Xu, Keson B.C. Tan, Quan-Sheng Ma, Haw-Ming Huang, Sheng-Yang Lee, Weiqi Yan, Bin Deng, Yong Zhao 61

3.2 Bone-implant Interface 61

3.2.2 Stress Transmission and Biomechanical Implant Design Problem 62

3.3 Implant Prosthesis Connection 68

3.3.2 Screw Loosening Problem 68

3.3.3 Screw Fracture 70

3.4 Multiple Implant Prostheses 71

3.4.1 Implant-supported Fixed Prostheses 71

3.4.2 Implant-supported Overdentures 73

3.4.3 Combined Natural Tooth and Implant-supported Prostheses 74

4 Finite Element Modelling in Implant Dentistry / Jianping Geng, Weiqi Yan, Wei Xu, Keson B.C. Tan, Haw-Ming Huang, Sheng-Yang Lee, Huazi Xu, Linbang Huang, Jing Chen 81

4.2 Considerations of Dental Implant FEA 82

4.3 Fundamentals of Dental Implant Biomechanics 83

4.3.1 Assumptions of Detailed Geometry of Bone and Implant 83

4.3.2 Material Properties 84

4.3.3 Boundary Conditions 86

4.4 Interface between Bone and Implant 86

4.5 Reliability of Dental Implant FEA 88

5 Application of Commercial FEA Software / Wei Xu, Jason Huijun Wang, Jianping Geng, Haw-Ming Huang 92

5.2 ANSYS 93

5.2.2 Preprocess 94

5.2.3 Solution 107

5.2.4 Postprocess 108

5.3 ABAQUS 114

5.3.2 Model an Implant in ABAQUS/CAE 116

5.3.3 Job Information Files 127

5.3.4 Job Result Files 130.

Notes:

Includes bibliographical references and index.

ISBN:

9783540737636

3540737634

9787308055109

OCLC:

171563543