• Title/Summary/Keyword: finite field method

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Variational approximate for high order bending analysis of laminated composite plates

  • Madenci, Emrah;Ozutok, Atilla
    • Structural Engineering and Mechanics
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    • v.73 no.1
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    • pp.97-108
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    • 2020
  • This study presents a 4 node, 11 DOF/node plate element based on higher order shear deformation theory for lamina composite plates. The theory accounts for parabolic distribution of the transverse shear strain through the thickness of the plate. Differential field equations of composite plates are obtained from energy methods using virtual work principle. Differential field equations of composite plates are obtained from energy methods using virtual work principle. These equations were transformed into the operator form and then transformed into functions with geometric and dynamic boundary conditions with the help of the Gâteaux differential method, after determining that they provide the potential condition. Boundary conditions were determined by performing variational operations. By using the mixed finite element method, plate element named HOPLT44 was developed. After coding in FORTRAN computer program, finite element matrices were transformed into system matrices and various analyzes were performed. The current results are verified with those results obtained in the previous work and the new results are presented in tables and graphs.

An Eulerian Finite Element Method for the Steady State Rolling/Extrusion of Sintered Powder Metals (소결분말재 정상상태 압연/압출공정의 오일러리안 유한요소해석)

  • ;;左野 利男
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1996.10a
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    • pp.20-28
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    • 1996
  • An Eulerian finite element method for the analysis of steady state rolling/extrusion of sintered powder metals is presented. Initial guess of the porosity distribution in an Eulerian mesh is obtained from the velocity and scaled pressure field computed by the Consistent Penalty finite element formulations-the standard one and the consistent penalty type one-are invoked for the analysis of strain hardening, dilatant viscoplastic deformation of porous metals. Comparisons of the predicted distributions of porosity to those by a Lagrangian finite element method and by experiments reported in the articles prove the effectiveness and validity of the proposed method.

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A study on the improvement of the local stress field using the theory of conjugate approximations and loubignac's iterative method (공액근사개념과 Loubignac의 반복계산법을 이용한 국부응력장 개선에 대한 연구)

  • Song, Kee-Nam
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.10
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    • pp.1598-1608
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    • 1997
  • Based on the application of te theory of conjugate approximations and the Loubignac's iterative method in a local region, a method to improve the stress filed in a displacement-formulated finite element solution has been proposed. The validity of the proposed method has been tested through two examples : a thick cylinder under internal pressure loading and an infinite plate with a central circular hole subjected to uniaxial tension. As a result of analysis of the examples, it was found that the stress field obtained for the local region model by the proposed method approximates well for the whole domain model. In addition, it was found that because of a significant decrease in the computing time to obtain the improved stress field, the proposed method is efficient and useful for the detailed stress analysis in local regions.

A Finite Element Analysis of Electromagnetic Forming for Tube Expansion (전자기 확관성형의 유한요소 해석)

  • 이성호;이동녕
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.6
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    • pp.1872-1885
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    • 1991
  • The analysis of electromagnetic forming process consists of the analysis of the electric circuit and the dynamic deformation analysis. The purpose of the electric circuit analysis is to calculate the magnetic pressure and to apply it to the deformation analysis. Some investigators performed the analysis assuming the pressure distribution in longitudinal direction. However there was a difference between the calculated and experimental results. The difference mainly came from the assumption of the pressure distribution. One must know the magnetic field distribution in an actual situation for the analysis to be less erroneous. In this work the electromagnetic field analysis was performed by the finite element method to obtain a more realistic pressure distribution. A better agreement between the calculated and experimental results was obtained. It became possible to predict the deformation behavior of the workpiece of finite length.

A Proposal of an Analytical Method for Estimating the Opening Behaviour of Tip-Closed Crack in Compressive Residual Stress by Finite Element Method (압축잔류응력에 의하여 선단부가 닫힌 균열의 개구거동에 대한 유한요소법에 의한 해석방법의 제안)

  • 김응준;박응준;유승현
    • Journal of Welding and Joining
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    • v.21 no.6
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    • pp.71-76
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    • 2003
  • For the purpose of clarifying the influence of welding residual stress to the fatigue crack propagations behaviour, an analytical investigation based on finite element method is performed to examine the opening behaviour of tip-closed crack in the compressive residual stress. A finite element model comprised of contact elements for the crack plane and plane stress elements for the base material is used to evaluate crack opening stress of the crack existing in the residual stress field. Also an analytical method based on the superposition principle to estimate the length of opened part of tip closed crack and the stress distribution adjacent to the crack during uploading is applied to the finite element model. The software for the analysis is ABAQUS, which is a general purpose finite element package. The results show that stresses distributed on the crack surfaces are reduced and approached to zero as the applied stresses are increased up to crack tip opening stress and no mechanical discontinuity is found at the boundary of contact elements and plane stress elements. It is verified that the opening behavior of the fatigue crack in the residual stress can be predicted by finite element method with the proposed analytical method.

Characteristics Analysis of V Shape Pole Changing Memory Motor using Finite Element Method (유한요소법을 이용한 V형상 극변환 메모리 모터의 특성 분석)

  • Kim, Young-Hyun;Kim, Su-Yong;Kim, Jung-Woo;Lee, Jung-Ho
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.6
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    • pp.872-877
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    • 2015
  • The Permanent Magnet (PM) machine used at speed control using field-weakening control method. But the field-weakening current, which reduces the field flux for high speeds, causes significant copper and core losses. Therefore, this paper deals with the PM performance evaluations in a pole changing memory motor (PCMM). The PCMM can change the number of magnetic poles and produce two types of torque. When the motor operates with eight poles, it produces a magnetic torque at low rotational speeds. When the motor changes to four poles, it produces both magnetic torque and reluctance torque at high speeds. The paper explain the principle and basic characteristics of the motor by using a finite element method magnetic-field analysis, which consists of a PM magnetized by a pulse d-axis current of the armature winding. The results of our experiment show that the proposed motor reduces core loss by 10% and 55% under no-load and load conditions, and doubles the speed range of the motor.

A Study on the Stochastic Finite Element Method for Dynamic Problem of Nonlinear Continuum

  • Wang, Qing;Bae, Dong-Myung
    • Journal of Ship and Ocean Technology
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    • v.12 no.2
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    • pp.1-15
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    • 2008
  • The main idea of this paper introduce stochastic structural parameters and random dynamic excitation directly into the dynamic functional variational formulations, and developed the nonlinear dynamic analysis of a stochastic variational principle and the corresponding stochastic finite element method via the weighted residual method and the small parameter perturbation technique. An interpolation method was adopted, which is based on representing the random field in terms of an interpolation rule involving a set of deterministic shape functions. Direct integration Wilson-${\theta}$ Method was adopted to solve finite element equations. Numerical examples are compared with Monte-Carlo simulation method to show that the approaches proposed herein are accurate and effective for the nonlinear dynamic analysis of structures with random parameters.

Strain-smoothed polygonal finite elements

  • Hoontae Jung;Chaemin Lee;Phill-Seung Lee
    • Structural Engineering and Mechanics
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    • v.86 no.3
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    • pp.311-324
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    • 2023
  • Herein, we present effective polygonal finite elements to which the strain-smoothed element (SSE) method is applied. Recently, the SSE method has been developed for conventional triangular and quadrilateral finite elements; furthermore, it has been shown to improve the performance of finite elements. Polygonal elements enable various applications through flexible mesh handling; however, further development is still required to use them more effectively in engineering practice. In this study, piecewise linear shape functions are adopted, the SSE method is applied through the triangulation of polygonal elements, and a smoothed strain field is constructed within the element. The strain-smoothed polygonal elements pass basic tests and show improved convergence behaviors in various numerical problems.

A Consideration on Deformation Characteristics of Soil Nailed Retaining-Walls on Field Measurements (현장계측에 의한 쏘일네일링 보강벽체의 변형특성에 관한 고찰)

  • Yoon, Bae-Sic;Lee, Jong-Moon;Kang, In-Kyu;Kwon, Young-Ho;Kim, Hong-Taek
    • 한국방재학회:학술대회논문집
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    • 2007.02a
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    • pp.534-537
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    • 2007
  • The soil nailing was generally using method in practical business, in application of the soil nailing, the analysis was primarily used to Beam-Colum Method, Finite Element Method and Limit Equilibrium Method. Beam-Colum Method and Finite Element Method were able to examine transformation but widely using Limit Equilibrium Method wasn't able to examine transformation and displacement Therefore, this study was focused on presenting stability in comparison with former study-results about horizontal displacement of the soil nailing retaining-walls satisfing a criterion safety factor of Limit Equilibrium. There were performing comparison field measurements and former study-results in first step.

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