• Title/Summary/Keyword: finite field method

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Convergence studies for Enriched Free Mesh Method and its application to fracture mechanics

  • Matsubara, Hitoshi;Yagawa, Genki
    • Interaction and multiscale mechanics
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    • v.2 no.3
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    • pp.277-293
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    • 2009
  • The Enriched Free Mesh Method (EFMM) is a patch-wise procedure in which both a displacement field on an element and a stress/strain field on a cluster of elements connected to a node can be defined. On the other hand, the Superconvergent Patch Recovery (SPR) is known to be an efficient post-processing procedure of the finite element method to estimate the error norm at a node. In this paper, we discuss the relationship between solutions of the EFMM and those of the SPR through several convergence studies. In addition, in order to solve the demerit of the smoothing effect on the fracture mechanics fields, we implement a singular stress field to a local patch in the EFMM, and its effectiveness is investigated.

A spline finite element method on mapping

  • Ding, Hanshan;Shao, Rongguang;Ding, Dajun
    • Structural Engineering and Mechanics
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    • v.4 no.4
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    • pp.415-424
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    • 1996
  • This paper presents a newly suggested calculation method in which an arbitrary quadrilateral element with curved sides is transformed to a normal rectangular one by mapping of coordinates, then the two-dimensional spline is adopted to approach the displacement function of this element. Finally the solution can be obtained by the least-energy principle. Thereby, the application field of Spline Finite Element Method will be extended.

Modeling of transient temperature distribution in multilayer asphalt pavement

  • Teltayev, Bagdat B.;Aitbayev, Koblanbek
    • Geomechanics and Engineering
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    • v.8 no.2
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    • pp.133-152
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    • 2015
  • Mathematical model has been developed for determination of temperature field in multilayer pavement and subgrade, which considers transfer of heat by conduction and convection, receiving of heat from total solar radiation and atmosphere emission, output of heat due to the emission from the surface of pavement. The developed model has been realized by the finite element method for two dimensional problem using two dimensional second order finite element. Calculations for temperature field have been made with the programme realized on the standard mathematical package MATLAB. Accuracy of the developed model has been evaluated by comparison of temperatures, obtained theoretically and experimentally. The results of comparison showed high accuracy of the model. Long-term calculation (within three months) has been made in pavement points in accordance with the data of meteorological station for air temperature. Some regularities have been determined for variation of temperature field.

Analysis of a coupled waveguide structure using the edge element method (변유한요소법을 이용한 결합구조를 갖는 도파관 구조의 해석)

  • Kim, Young-Tae;Kwon, Jin-Ho;Ahn, Dal;Park, Jun-Seok;Kim, Hyeong-Seok
    • Proceedings of the KIEE Conference
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    • 1999.11d
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    • pp.1117-1119
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    • 1999
  • An edge finite element method is applied to calculate the field distribution of a coupled waveguide structure. We compares a node based finite element method with the edge element one. For 2-d eigenvalue problems of waveguide structures, the former generates spurious eigenmodes, but the latter dose not. Using an simple rectangular waveguide, we implement both methods to obtain some results of field computation in waveguide. The paper shows that the finite element method using edge elements succeeds in suppressing spurious solutions.

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An Evaluation of Residual Stress Redistribution in the Welding Residual Stress Field Caused by Fatigue Crack Propagation by Finite Element Method (용접잔류응력장에서 피로균열의 전파에 따른 잔류응력 재분포에 대한 해석적 평가)

  • Park, Eung-Joon;Kim, Eung-Joon
    • Journal of Welding and Joining
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    • v.26 no.6
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    • pp.92-96
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    • 2008
  • An investigation was performed to predict residual stress redistribution for the crack propagation initially through tensile residual stress field. The analytical method, which is based on Dugdale model by finite element analysis using elastic analysis method considering the superposition principle, was proposed to estimate the redistribution of residual stress caused by crack propagation. The various aspect of distribution of residual stress caused by crack propagation was examined based on the configuration change of specimen. The analysis results show that the aspect of redistribution of residual stress caused by crack propagation depends on the width of the specimen provided that the initial distribution of residual stress is identical.

A finite Element Analysis on the discharge characteristics of $SF_6$ gas ($SF_6$ 가스 방전 특성의 유한요소해석)

  • 최승길;심재학;강형부
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.13 no.3
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    • pp.265-272
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    • 2000
  • In this paper the corona discharge in SF$_{6}$ gas used as insulating material in lots o high voltage equipment, is simulated by finite element method with Flux-Corrected Transport(FCT) method. By application of proposed method the negative corona discharge characteristics in needle to plane electrode is analyzed with time step. For the accuracy of analysis the secondary electron emission by photon and ion are also considered as well as the accuracy of analysis the secondary electron emission by photon and ion are also considered as well as townsend first ionization and electron attachment. The calculated results show that the electric field intensity between anode and ion group is decreased as times go-by according to field distortion by those space charge. Accordingly the electron density is decreased strongly by the attatchment effect of SF6 gas so that the corona discharge becomes extinguished abruptly.y.

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Transient Dynamic Analysis of Scroll Compressor Crankshaft Using Finite Element-Transfer Matrix Method (유한요소-전달행렬법에 의한 스크롤 압축기 크랭크축의 과도 동적 해석)

  • 김태종
    • Journal of KSNVE
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    • v.10 no.1
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    • pp.97-106
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    • 2000
  • The dynamic behavior of crankshaft-bearing system in scroll compressor has been investigated using the combined methodologies of finite elements and transfer matrices. The finite element formulation is proposed including the field element for a shaft section and the point element at balancer weight locations, bearing locations, etc., whereas the conventional method is used with the elements. The Houbolt method is used to consider the time march for the integration of the system equations. The linear stiffness and damping coefficients are calculated for a finite cylindrical fluid-film bearing by solving the Reynolds equation, using finite difference method. The orbital response of crankshaft supported on the linear bearing model is obtained, considering balancer weights of motor rotor. And, the steady state displacement of crankshaft are compared with a variation in balancer weight. The loci of crankshaft at bearing locations are composed of the synchronous whirl component and the non-synchronous whirl component.

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UNIFICATION OF DESIGN AND CONSTRUCTION OF DEEP EXCAVATION

  • Lee, Seung-Rae
    • Proceedings of the Korean Geotechical Society Conference
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    • 1990.10a
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    • pp.163-175
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    • 1990
  • A main factor in the design of excavation in an urban area is the movements. The finite element method provides rational predictions of excavation behaviour, yet practical engineers may find difficulties in applying it to the actual field case. In this study, factors affecting the excavation behaviour are considered in details and the applicability of the finite element method to the actual field excavation cases is presented. Numerical examples are analyzed to provide results of parametric study on the affecting factors.

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Evaluation of Computerized Methods for Stepwise Underground Excavation and Support System (지하 터파기 버팀시스템의 전산해석 사례 및 평가)

  • 장찬수;우홍기
    • Proceedings of the Korean Geotechical Society Conference
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    • 1991.10a
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    • pp.289-311
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    • 1991
  • Analysis of supported excavation system by Elasto-Plastic Isoparametric Finite Element Method and Elasto-Plastic Beam Method have been conducted for the simulation of stepwise underground excavation. Conventional methods, fixed Supported Beam and Spring Supported Beam method, also have been examined and compared with the results of elasto-plastic beam method and field data. Except unavoidable result of upward ground settlement near the top of retaining wall and relatively high bending moment of wall at each excavation level, satisfactory results have been derived using elasto-plastic isopara metric finite element method. The results from elasto-plastic beam analysis program, developed by the author, are proved to be fit field data in acceptable variance as shown in the paper. Displacement and bending moment, of the wall by conventional methods, both fixed supported beam and spring supported beam, are always underestimated than field data, and attention must be given that the diffence increases with deeper excavation depth and lower horizontal subgrade reaction of the ground.

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Finite to Element Analysis of Short Circuit Characteristics of 20 KVA Superconducting Synchronous Generator (유한요소법에 의한 초전도 동기발전기의 단락특성 해석)

  • Rhee, Byoung-Suk;Hahn, Song-Yop
    • Proceedings of the KIEE Conference
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    • 1988.11a
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    • pp.17-20
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    • 1988
  • The most important thing in design procedure of SCG is the exact estimation of the electromagnetic force acting on the field and amature winding. Until now, equivalent circuit method was used for the analysis or electric and magnetic performance. This paper sheds the leo dimensional analysis of electric and magnetic characteristics of SCG by Finite Element Method(FEM). Analysis by FEM provides more areolate results than that of equivalent circuit method because harmonics field generated by field current can he considered. Circuit and field equations are combined together in a equation and solved simultaneously.

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