Analysis of Coaxial Line Discontinuities by Boundary Relaxation

Silvester, P.; Cermak, I.A.

doi:10.1109/tmtt.1969.1127000

Cited by 25 publications

(4 citation statements)

References 7 publications

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“…The stress analysis of endodontic endosseous implant is very important to it ' s biocompatibility and livability. The pioneering work of the infinite partition technique was due to Silvester and Cermak [11] in 1969 which was stated in the category of the finite difference method. The first paper on this combination was by Thatcher [12] in 1975, Independently a paper by Ying Longan [13] was first presented at the National Conference in 1974, then it was published in 1977.…”

Section: Discussionmentioning

confidence: 99%

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

Xin

Ma²,

et al. 2003

KEM

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To study the precise stress distribution of the apical foramen area of endodontic endosseous implant, and improve the prosthetics of endodontic endosseous implant. After analysis of the two-dimensional endodontic endosseous implants model with finite element method, left right areas beside the apical foramen were selected as infinite domains to calculate. D-N iterative method was used to connect the finite and infinite domains. Under 45 o axial right oblique loading, the center of the tooth rotational movement descended downward to the implant outside the apical foramen of root. The stress concentration occurred in both infinite domains of the apical foramen. The infinite domain at the right side was tension stress concentration but the other side was compression stress concentration. Two stress concentration points were just at the central points, which were intersections between implant and dentin. In the implant and dentin section, the stress reduced in all directions from these two stress concentration points, but in the ligament, the results were contrary. The movement of the rotational center of restoration is helpful to the tooth stabilization and carrying capacity after restoration. In the implant area the diameter of implant at the apical foramen of root shall not be reduced to protect root in clinical work It is very important to preserve the tissue of ligament for endodontic endosseous implants.

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Section: Discussionmentioning

confidence: 99%

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

Xin

Ma²,

et al. 2003

KEM

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“…The radiation of electromagnetic waves from coaxial structures is a very important topic in diffraction theory and has been the subject of numerous past investigations. Different techniques including mode matching, [4] FDTD [5,6] and other numerical techniques [7][8][9][10][11][12][13] have been applied to coaxial structures. Cases in which the system is excited with a TEM mode have been also studied.…”

Section: Introductionmentioning

confidence: 99%

Radiation from a coaxial waveguide formed by a semi-infinite cylindrical outer conductor and an infinite two-part impedance inner cylinder

Karayahsi

Tayyar

Dolma

2016

Journal of Electromagnetic Waves and Applications

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In the present work, the scattering of a wave radiating inside a waveguide consisting of two coaxial cylinders the inner of which is infinite and has piecewise surface impedance, while the outer cylinder is infinitely thin, semi-infinite and perfect electrical conductor is analyzed using Wiener-Hopf technique. The problem is defined as a Wiener-Hopf equation by applying Fourier transformation to the scattered field and the boundary conditions. The scattered field inside the waveguide is expanded to series in terms of waveguide modes and the solution is obtained using the continuity conditions for the electromagnetic fields and transforming the problem into three sets of infinite algebraic equations containing three sets of infinite constants. In the numerical results section, the effects of the geometrical parameters and the impedances of the waveguide to the radiated field and the reflection coefficient is observed. Obtained results are compared to a previously solved problem. ARTICLE HISTORY

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“…The Infinite Element Method (IEM) formulation, originally proposed by Silvester and Cermark in [15], provides a computationally-efficient means of analyzing a wide variety of fracture mechanics problems [16][17][18]. The basic principle of IEM involves decomposing the problem domain into a layered structure in which the elements in each layer are geometrically similar to those in the layers above and below, respectively.…”

Section: Introductionmentioning

confidence: 99%

Development of Plate Infinite Element Method for Stress Analysis of Elastic Bodies with Singularities

2013

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A 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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Analysis of Coaxial Line Discontinuities by Boundary Relaxation

Cited by 25 publications

References 7 publications

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

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

Radiation from a coaxial waveguide formed by a semi-infinite cylindrical outer conductor and an infinite two-part impedance inner cylinder

Development of Plate Infinite Element Method for Stress Analysis of Elastic Bodies with Singularities

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