### Abstract

Original language | English |
---|---|

Title of host publication | Application of the Finite Element Method in Implant Dentistry |

Editors | Jianping Geng, Weiqi Yan, Wei Xu |

Place of Publication | Berlin, Heidelberg |

Publisher | Springer Berlin Heidelberg |

Pages | 81-91 |

Number of pages | 11 |

ISBN (Print) | 978-3-540-73764-3 |

DOIs | |

Publication status | Published - 2008 |

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### Cite this

*Application of the Finite Element Method in Implant Dentistry*(pp. 81-91). Berlin, Heidelberg: Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-73764-3_4

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

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Application of the Finite Element Method in Implant Dentistry.*Springer Berlin Heidelberg, Berlin, Heidelberg, pp. 81-91. https://doi.org/10.1007/978-3-540-73764-3_4

}

TY - CHAP

T1 - Finite Element Modelling in Implant Dentistry

AU - Geng, Jianping

AU - Yan, Weiqi

AU - Xu, Wei

AU - Tan, Keson B. C.

AU - Huang, Haw-Ming

AU - Lee, Sheng-Yang

AU - Xu, Huazi

AU - Huang, Linbang

AU - Chen, Jing

PY - 2008

Y1 - 2008

N2 - The use of numerical methods such as FEA has been adopted in solving complicated geometric problems, for which it is very difficult to achieve an analytical solution. FEA is a technique for obtaining a solution to a complex mechanics problem by dividing the problem domain into a collection of much smaller and simpler domains (elements) where field variables can be interpolated using shape functions. An overall approximated solution to the original problem is determined based on variational principles. In other words, FEA is a method whereby, instead of seeking a solution function for the entire domain, it formulates solution functions for each finite element and combines them properly to obtain a solution to the whole body. A mesh is needed in FEA to divide the whole domain into small elements. The process of creating the mesh, elements, their respective nodes, and defining boundary conditions is termed “discretization” of the problem domain. Since the components in a dental implant-bone system is an extremely complex geometry, FEA has been viewed as the most suitable tool to mathematically, model it by numerous scholars.

AB - The use of numerical methods such as FEA has been adopted in solving complicated geometric problems, for which it is very difficult to achieve an analytical solution. FEA is a technique for obtaining a solution to a complex mechanics problem by dividing the problem domain into a collection of much smaller and simpler domains (elements) where field variables can be interpolated using shape functions. An overall approximated solution to the original problem is determined based on variational principles. In other words, FEA is a method whereby, instead of seeking a solution function for the entire domain, it formulates solution functions for each finite element and combines them properly to obtain a solution to the whole body. A mesh is needed in FEA to divide the whole domain into small elements. The process of creating the mesh, elements, their respective nodes, and defining boundary conditions is termed “discretization” of the problem domain. Since the components in a dental implant-bone system is an extremely complex geometry, FEA has been viewed as the most suitable tool to mathematically, model it by numerous scholars.

U2 - 10.1007/978-3-540-73764-3_4

DO - 10.1007/978-3-540-73764-3_4

M3 - Chapter

SN - 978-3-540-73764-3

SP - 81

EP - 91

BT - Application of the Finite Element Method in Implant Dentistry

A2 - Geng, Jianping

A2 - Yan, Weiqi

A2 - Xu, Wei

PB - Springer Berlin Heidelberg

CY - Berlin, Heidelberg

ER -