• Title/Summary/Keyword: 비선형 유한 요소프로그램

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A Study on the Fatigue Analysis of Glass Fiber Reinforced Plastics with Linear and Nonlinear Multi-Scale Material Modeling (선형과 비선형 다중 스케일 재료 모델링을 활용한 유리섬유 강화 플라스틱의 피로해석 연구)

  • Kim, Young-Man;Kim, Yong-Hwan
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.33 no.2
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    • pp.81-93
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    • 2020
  • The fatigue characteristics of glass fiber reinforced plastic (GFRP) composites were studied under repeated loads using the finite element method (FEM). To realize the material characteristics of GFRP composites, Digimat, a mean-field homogenization tool, was employed. Additionally, the micro-structures and material models of GFRP composites were defined with it to predict the fatigue behavior of composites more realistically. Specifically, the fatigue characteristics of polybutylene terephthalate with short fiber fractions of 30wt% were investigated with respect to fiber orientation, stress ratio, and thickness. The injection analysis was conducted using Moldflow software to obtain the information on fiber orientations. It was mapped over FEM concerned with fatigue specimens. LS-DYNA, a typical finite element commercial software, was used in the coupled analysis of Digimat to calculate the stress amplitude of composites. FEMFAT software consisting of various numerical material models was used to predict the fatigue life. The results of coupled analysis of linear and nonlinear material models of Digimat were analyzed to identify the fatigue characteristics of GFRP composites using FEMFAT. Neuber's rule was applied to the linear material model to analyze the fatigue behavior in LCF regimen. Additionally, to evaluate the morphological and mechanical structure of GFRP composites, the coupled and fatigue analysis were conducted in terms of thickness.

Dynamic Response Analysis of Nonlinear Sloshing in Two Dimensional Rectangular Tank using Finite Element Method (유한요소법을 이용한 2차원 사각탱크내 비선형 슬로싱 동응답 해석)

  • 조진래;이홍우;하세윤;박태학;이우용
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.1
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    • pp.33-42
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    • 2003
  • This paper deals with the FEM analysis of nonlinear sloshing of incompressible, invicid and irrotational flow in two dimensional rectangular tank. We use laplace equation based on potential theory as governing equation. For large amplitude sloshing motion, kinematic and dynamic free surface conditions derived from Bernoulli equation are applied. This problem is solved by FEM using 9-node elements. For the time integration and accurate velocity calculation, we introduce predictor-corrector time marching scheme and least square method. Also, numerical stability in tracking of free surface is obtained by direct calculation of free surface location to time variation. Numerical results of sloshing induced by harmonic excitations, while comparing with those of linear theory and references, prove the accuracy and stability. After verification of our program, we analyze sloshing response characteristics to the fluid height and the excitation amplitude.

p-Version Elasto-Plastic Finite Element Analysis by Incremental Theory of Plasticity (증분소성이론에 의한 p-Version 탄소성 유한요소해석)

  • 정우성;홍종현;우광성
    • Computational Structural Engineering
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    • v.10 no.4
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    • pp.217-228
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    • 1997
  • The high precision analysis by the p-version of the finite element method are fairly well established as highly efficient method for linear elastic problems, especially in the presence of stress singularity. It has been noted that the merits of the p-version are accuracy, modeling simplicity, robustness, and savings in user's and CPU time. However, little has been done to exploit their benefits in elasto-plastic analysis. In this paper, the p-version finite element model is proposed for the materially nonlinear analysis that is based on the incremental theory of plasticity using the constitutive equation for work-hardening materials, and the associated flow rule. To obtain the solution of nonlinear equation, the Newton-Raphson method and initial stiffness method, etc are used. Several numerical examples are tested with the help of the square plates with cutout, the thick-walled cylinder under internal pressure, and the circular plate with uniformly distributed load. Those results are compared with the theoretical solutions and the numerical solutions of ADINA

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Three-Dimensional Resistivity Modeling by Serendipity Element (Serendipity 요소법에 의한 전기비저항 3차원 모델링)

  • Lee, Keun-Soo;Cho, In-Ky;Kang, Hye-Jin
    • Geophysics and Geophysical Exploration
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    • v.15 no.1
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    • pp.33-38
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    • 2012
  • A resistivity method has been applied to wide range of engineering and environmental problems with the help of automatic and precise data acquisition. Thus, more accurate modeling and inversion of time-lapse monitoring data are required since resistivity monitoring has been introduced to quantitatively find out subsurface changes With respect to time. Here, we used the finite element method (FEM) for 3D resistivity modeling since the method is easy to realize complex topography and arbitrary shaped anomalous bodies. In the FEM, the linear elements, also referred to as first order elements, have certain advantages of simple formulation and narrow bandwidth of system equation. However, the linear elements show the poor accuracy and slow convergence of the solution with respect to the number of elements or nodes. To achieve the higher accuracy of finite element solution, high order elements are generally used. In this study, we developed a 3D resistivity modeling program using high order Serendipity elements. Comparing the Serendipity element solutions for a cube model with the linear element solutions, we assured that the Serendipity element solutions are more accurate than the linear element solutions in the 3D resistivity modeling.

Finite element analysis on supercomputers (슈퍼컴퓨터를 이용한 유한요소해석)

  • 이재석
    • Computational Structural Engineering
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    • v.1 no.2
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    • pp.26-33
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    • 1988
  • 유한요소해석프로그램들의 적용대상이 최근들어 다(多) 자유도의 비선형문제로 확대됨에 따라 컴퓨터의 계산속도가 특히 중요한 제한조건으로 대두되기 시작하였으며 금속성형해석, 자동차 등의 충돌해석(자유도가 2만-6만), 토질 및 콘크리트 등의 점소성해석과 더불어 항공기, 터빈 등의 열응력해석 및 동적해석 등에 있어서는 막대한 계산시간으로 인하여 해석의 효율성에 대한 문제가 제기되고 있다. 따라서 슈퍼컴퓨터를 포함하여 고속연산기능을 가진 병렬처리컴퓨터를 이용하여 유한요소해석을 수행하여야 할 필요성이 증가하고 있다. 88년 9월중에 한국과학기술원 시스템공학센터에 현존하는 슈퍼컴퓨터중 최상위 성능을 가진 CRAY2S가 설치됨에 따라 국내에도 슈퍼컴퓨터시대가 열리게 되었으며 따라서 본 고에서는 CRAY2S의 시스템개요 및 응용소프트웨어에 대하여 소개하고 슈퍼컴퓨터를 이용한 유한요소해석에 관하여 간략히 기술하고저 한다.

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Nonlinear Tensile Behavior Analysis of Torque-controlled Expansion Anchors Using Finite Element Analysis (유한요소해석을 활용한 비틀림 제어 확장앵커의 비선형 인장거동 특성 분석)

  • Bang, Jin Soo;Youn, Ilro;Kwon, Yangsu;Yim, Hong Jae
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.24 no.4
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    • pp.91-99
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    • 2020
  • Post-installed anchors were widely used due to its workable benefits. Regarding the resistance performance of anchors, the critical edge distance is presented to minimize the impact of concrete splitting. In the case of actual anchors, however, it is difficult to obtain the ideal edge distance. The purpose of this study is to identify resistance performance and behavior characteristics that contain complex elements such as concrete crack occurring under tensile load. Tensile tests were conducted based on the standard method. Failure shape and the resistance characteristics that do not have the critical edge distance were derived by tensile load. Parametric analysis according to the boundary condition was performed to simulate the actual tensile behavior, through a nonlinear finite element model based on the specimen. Consequently therefore, verifying analysis results the resistance mechanism can be applied through boundary conditions.

Free Field Response Analysis Using Dynamic Fundamental Solution (다층반무한 기본해를 이용한 자유장응답해석)

  • 김문겸;임윤묵;김민규;이종우
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.2
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    • pp.83-91
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    • 2001
  • 본 연구에서는 2차원 평면상에서 자유장응답 해석을 위하여 유한요소-경계요소 조합에 의한 수치해석기법을 개발하였다. 전체 계를 외부영역과 내부영역으로 구분하였다. 외부영역은 동적 다층반무한 기본해를 이용한 경계요소로 모형화되고 내부영역은 유한요소로 모형화하여 조합하였다. 다층지반의 외부에서 입사하는 지진에 의한 지진응답해석을 수행하기 위하여 동적기본해를 이용한 자유장응답해석을 수행하였다. 지진응답해석에서는 지반의 전단병형률에 따라 변화하는 비선형특성을 모형화하기 위해 등가선형화기법을 적용하였다. 지진응답해석의 검증에 의하여 해석결과를 상용프로그램의 결과와 비교하였다. 결과적으로 지진응답해석을 효과적으로 수행할 수 있는 수치해석기법을 개발하였고 구조물이 있는 경우로의 확장돠 가능하게 되었다.

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The Stochastic Finite Element Analysis and Reliability Analysis of the Cable Stayed Bridge Considered to Correlation of the Random Variable (확률변수의 상관성을 고려한 사장교의 확률유한요소해석 및 신뢰성해석)

  • Han, Sung Ho;Shin, Jae Chul
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.1A
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    • pp.21-33
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    • 2006
  • The reliability analysis can be conducted more effectively by formulating the stochastic finite element method suitable for the reliability theory about the cable stayed bridge. After conducting the initial equilibrium analysis of the cable stayed bridge, the program which can conduct the linear and nonlinear stochastic finite element analysis using the perturbation method and the reliability analysis considered to the correlation of the random variable is developed. Using the results of this program about the cable stayed bridge, the characteristic of the node displacement, element force and cable tension according to the correlation of the random variable is investigated quantitatively. Also the reliability index and the failure probability are examined by the compounding the correlation of the random variable.

A Coupled Analysis of Finite Elements and Boundary Elements for Time Dependent Inelastic Problems (시간의존 비탄성 문제의 유한요소-경계요소 조합에 의한 해석)

  • Kim, Moon Kyum;Huh, Taik Nyung;Jang, Jung Bum;Oh, Se Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.3
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    • pp.25-34
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    • 1993
  • The long-term behavior, such as in excavation problems of weak medium, can be dealt with by the elasto-viscoplasticity models. In this paper, a combined formulation of elasto-viscoplasticity using boundary elements and finite elements without using internal cells is presented. The domain integral introduced due to the viscoplastic stresses is transformed into a boundary integral applying direct integration in cylindrical coordinates. The results of the developed boundary element analysis are compared with those from the explicit solution and from the finite element analysis. It is observed that the boundary element analysis without internal cells results in some error because of its deficiency in handling the nonlinearity in local stress concentration. Therefore, a coupled analysis of boundary elements and finite elements, in which finite elements are used in the area of stress concentration, is developed. The coupled method is applied to a time dependent inelastic problem with semi-infinite boundaries. It results in reasonable solution compared with other methods where relatively higher degree of freedoms are employed. Thus, it is concluded that the combined analysis may be used for such problems in the effective manner.

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Analysis and Design of Shoes Using Non-Linear Finite Element Method (비선형 유한요소법을 이용한 신발 해석 및 설계)

  • Kim, B.S.;Moon, B.Y.
    • Elastomers and Composites
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    • v.38 no.3
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    • pp.195-205
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    • 2003
  • This paper presents an analytic method and a design technique for golf shoes with air-cycled pump in the midsole. The golf shoes are modeled using the finite element method for better design by considering the configuration of the midsole and the outsole, which compose the golf shoes. Also the optimum size and shape of air-cycled pump in the midsole is examined. The values or standard human pressure for boundary conditions are adopted for the FEA(Finite Element Analysis). The unknown constants of the strain energy function of Ogden type are observed in accordance with the axial tension test. By the commercial FEM software for nonlinear analysis, MARC V7.3, the strains and the values of volume change for the midsole and the outsole are obtained, respectively. It can be concluded that results obtained by FEM in the midsole and the outsole are different depending on the characteristic of elastomer The results reported herein provide better understanding of analyzing the golf shoes. Moreover, it is believed that those properties of the results can be utilized in the shoes industry to develop the effective design method.