Application of the Finite Element Method in Implant Dentistry

by Geng, Jianping; Yan, Weiqi; Xu, Wei

• ISBN13: 9783540737636
• ISBN10: 3540737634
• Edition: 1st
• Format: Hardcover
• Copyright: 2008-10-09
• Publisher: Springer Verlag

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. Book jacket.

Table of Contents

Finite Element Method	p. 1
Introduction	p. 1
Historical Development	p. 1
Definitions and Terminology	p. 5
Flexibility Approach	p. 7
Stiffness Formulation	p. 7
Stiffness Matrix	p. 7
Characteristics of Stiffness Matrix	p. 9
Equivalent Loads	p. 10
System Stiffness Equations	p. 11
Solution Methodology	p. 11
Manual Solution	p. 11
Computer Solution	p. 12
Support Displacements	p. 13
Alternate Loadings	p. 13
Advantages and Disadvantages of FEM	p. 14
Mathematical Formulation of Finite Element Method	p. 15
Shape Functions	p. 16
General Requirements	p. 16
Displacement Function Technique	p. 17
Element Stiffness Matrix	p. 18
Shape Function	p. 18
Strain Influence Matrix	p. 18
Stress Influence Matrix	p. 19
External Virtual Work	p. 19
Internal Virtual Work	p. 20
Virtual Work Equation	p. 21
System Stiffness Matrix	p. 21
Equivalent Actions Due to Element Loads	p. 24
Concentrated Action inside Element	p. 25
Traction on Edge of Element	p. 26
Body Force over the Element	p. 26
Initial Strains in the Element	p. 27
Total Action Vector	p. 28
Stresses and Strains	p. 29
Stiffness Matrices for Various Element	p. 29
Critical Factors in Finite Element Computer Analysis	p. 30
Modelling Considerations	p. 30
Asce Guidelines	p. 33
Preprocessors and Postprocessors	p. 35
Preprocessors	p. 35
Postprocessors	p. 36
Support Modelling	p. 37
Improvement of Results	p. 37
References	p. 39
Introduction to Implant Dentistry	p. 42
History of Dental Implants	p. 42
Phenomenon of Osseointegration	p. 43
The Soft Tissue Interface	p. 46
Protocols for Implant Placement	p. 48
Types of Implant Systems	p. 48
Prosthetic Rehabilitation	p. 49
References	p. 55
Applications to Implant Dentistry	p. 61
Introduction	p. 61
Bone-implant Interface	p. 61
Introduction	p. 61
Stress Transmission and Biomechanical Implant Design Problem	p. 62
Summary	p. 68
Implant Prosthesis Connection	p. 68
Introduction	p. 68
Screw Loosening Problem	p. 68
Screw Fracture	p. 70
Summary	p. 70
Multiple Implant Prostheses	p. 71
Implant-supported Fixed Prostheses	p. 71
Implant-supported Overdentures	p. 73
Combined Natural Tooth and Implant-supported Prostheses	p. 74
Conclusions	p. 75
References	p. 76
Finite Element Modelling in Implant Dentistry	p. 81
Introduction	p. 81
Considerations of Dental Implant FEA	p. 82
Fundamentals of Dental Implant Biomechanics	p. 83
Assumptions of Detailed Geometry of Bone and Implant	p. 83
Material Properties	p. 84
Boundary Conditions	p. 86
Interface between Bone and Implant	p. 86
Reliability of Dental Implant FEA	p. 88
Conclusions	p. 89
References	p. 89
Application of Commercial FEA Software	p. 92
Introduction	p. 92
ANSYS	p. 93
Introduction	p. 93
Preprocess	p. 94
Solution	p. 107
Postprocess	p. 108
Summary	p. 113
ABAQUS	p. 114
Introduction	p. 114
Model an Implant in ABAQUS/CAE	p. 116
Job Information Files	p. 127
Job Result Files	p. 130
Conclusion	p. 133
References	p. 134
Index	p. 135
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