The Application of the Infinite Element Method to Endodontic Endosseous Implant Stress Analysis

AbstractA Plate Infinite Element Method (PIEM) formulation based on Reissner-Mindlin theory is proposed for the stress analysis of cracked plates under bending and tension. The validity of the proposed formulation is demonstrated by comparing the results obtained for the normalized Stress Intensity Factor (SIF) under various loading conditions with the solutions presented in the literature. Importantly, the proposed formulation enables the effects of different crack lengths to be analyzed without the need to re-mesh the computational domain for each simulation/analysis. Overall, the PIEM formulation provides an accurate and computationally-efficient means of analyzing a wide variety of plate bending problems.

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Modeling of inclusions with interphases in heterogeneous material using the infinite element method

Computational Materials Science ◽

10.1016/j.commatsci.2004.05.002 ◽

2004 ◽

Vol 31 (3-4) ◽

pp. 405-420 ◽

Cited By ~ 9

Author(s):

D.S. Liu ◽

D.Y. Chiou

Keyword(s):

Heterogeneous Material ◽

Infinite Element ◽

Infinite Element Method ◽

Element Method

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Analysis of Structural and Non-Structural Problems by Coupling of Finite and Infinite Elements

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.578-579.445 ◽

2014 ◽

Vol 578-579 ◽

pp. 445-455

Author(s):

Mustapha Demidem ◽

Remdane Boutemeur ◽

Abderrahim Bali ◽

El-Hadi Benyoussef

Keyword(s):

Numerical Technique ◽

Near Field ◽

Main Idea ◽

Far Field ◽

Mining Operations ◽

Infinite Element ◽

Infinite Elements ◽

Structural Problems ◽

Infinite Element Method ◽

Element Method

The main idea of this paper is to present a smart numerical technique to solve structural and non-structural problems in which the domain of interest extends to large distance in one or more directions. The concerned typical problems may be the underground excavation (tunneling or mining operations) and some heat transfer problems (energy flow rate for construction panels). The proposed numerical technique is based on the coupling between the finite element method (M.E.F.) and the infinite element method (I.E.M.) in an attractive manner taking into consideration the advantages that both methods offer with respect to the near field and the far field (good accuracy and sensible reduction of equations to be solved). In this work, it should be noticed that the using of this numerical coupling technique, based on the infinite element ascent formulation, has introduced a more realistic and economic way to solve unbounded problems for which modeling and efficiency have been elegantly improved. The types of the iso-parametric finite elements used are respectively the eight-nodes (Q8) and the four-nodes (Q4) for the near field. However, for the far field the iso-parametric infinite elements used are the eight-nodes (Q8I) and the six-nodes (Q6I).

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