• Title/Summary/Keyword: Finite element formulation

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Characteristic features of concrete behaviour: Implications for the development of an engineering finite-element tool

  • Kotsovos, Michael D.;Pavlovic, Milija N.;Cotsovos, Demetrios M.
    • Computers and Concrete
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    • v.5 no.3
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    • pp.243-260
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    • 2008
  • The present article summarises the fundamental characteristics of concrete behaviour which underlie the formulation of an engineering finite element model capable of realistically predicting the behaviour of (plain or reinforced) concrete structural forms in a wide range of problems ranging from static to impact loading without the need of any kind of re-calibration. The already published evidence supporting the proposed formulation is complemented by four additional typical case studies presented herein; for each case, a comparative study is carried out between numerical predictions and the experimental data which reveals good agreement. Such evidence validates the material characteristics upon which the FE model's formulation is based and provides an alternative explanation regarding the behaviour of structural concrete and how it should be modelled which contradicts the presently (widely) accepted assumptions adopted in the majority of FE models used to predict the behaviour of concrete.

Finite Element Analysis with Viscoplastic Formulation in Open-Die RTP Process (개방형 RTP(Rapid Thermal Pressing)공정의 점소성 유한요소해석)

  • Son J. W.;Rhim S. H.;Oh S. I.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2004.10a
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    • pp.284-289
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    • 2004
  • Since polymer materials at elevated temperatures are usually rate-sensitive, the analysis of RTP process requires considering the effect of the rate-dependent. The material behavior that exhibits rate-sensitivity is called visco-plastic. A two-dimensional visco-plastic finite element formulation which constitutive equation is based on the formulation proposed by Perzyna is presented. This Paper is purposed to calcuate pressure distribution on PMMA in compression process and to predict the relationship with defects after demolding process. This paper analyzes, both analytically and numerically, the pressure distributions on the surface of PMMA during open-die RTP process. In this research, PMMA is used to be simulated at $110^{\circ}C$ near the transition temperature.

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Free Vibration Analysis of Thin-walled Circular Arch with Unsymmetric Section (비대칭 단면을 갖는 박벽 원형아치의 자유진동 해석)

  • 김문영;민병철
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.04a
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    • pp.465-472
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    • 1998
  • In this study, analytic solution and finite element formulation for the free vibration analysis of thin-walled circular arch, based on linearized virtual work and Vlasov's assumption, including restrained warping effect and second order terms of finite semitangential rotations, is presented. The total potential energy is derived by applying the Hellinger-Reissner principle. In this formulation, all displacement parameters of deformation are defined at the centroid axis. For the finite element formulation, the two node cubic Hermitian polynomials are utilized as shape functions. In special case, potential energy functional of thin-walled curved beam with monosymmetric cross section is derived. From this methodology, analytic solution for the free vibration of monosymmetric circular arch with simply supported is derived. In order to illustrate the accuracy of this study, various parameter studies for free vibration of circular arches are presented and compared with numerical solution analyzed by the FEM using straight beam element.

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Finite element analysis for laterally loaded piles in sloping ground

  • Sawant, Vishwas A.;Shukla, Sanjay Kumar
    • Coupled systems mechanics
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    • v.1 no.1
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    • pp.59-78
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    • 2012
  • The available analytical methods of analysis for laterally loaded piles in level ground cannot be directly applied to such piles in sloping ground. With the commercially available software, the simulation of the appropriate field condition is a challenging task, and the results are subjective. Therefore, it becomes essential to understand the process of development of a user-framed numerical formulation, which may be used easily as per the specific site conditions without depending on other indirect methods of analysis as well as on the software. In the present study, a detailed three-dimensional finite element formulation is presented for the analysis of laterally loaded piles in sloping ground developing the 18 node triangular prism elements. An application of the numerical formulation has been illustrated for the pile located at the crest of the slope and for the pile located at some edge distance from the crest. The specific examples show that at any given depth, the displacement and bending moment increase with an increase in slope of the ground, whereas they decrease with increasing edge distance.

Initial Shape Finding and Stress-Deformation Analysis of Pretensioned Membrane Structures with Triangular Constants Strain Element (TCS요소론 이용한 인장 막구조물의 초기명상해석 및 응력변형해석)

  • Ko, Hyuk-Jun;Song, Pyung-Hun;Song, Ho-San
    • 한국공간정보시스템학회:학술대회논문집
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    • 2004.05a
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    • pp.230-237
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    • 2004
  • In this study, equation of finite element is formulated to analyze relations of large deformation-small deformation considering geometrical nonlinear for membrane structure. Total Lagrangian Formulation(TLF) is introduced to formulate theory and equation of motion considering Triangular Constant Strain(TCS) element in finite, element analysis is formulated. Finite element program is made by equation of motion considering TLF. This study analyzed a variety of examples, so compared with the past results.

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Multi-Domain Structural-Acoustic Coupling Analysis Using the Finite Element and Boundary Element Techniques

  • Ju, Hyeon-Don;Lee, Shi-Bok
    • Journal of Mechanical Science and Technology
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    • v.15 no.5
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    • pp.555-561
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    • 2001
  • A new approach to analyze the multi-domain acoustic system divided and enclosed by flexible structures is presented in this paper. The boundary element formulation of the Helmholtz integral equation is used for the internal fields and the finite element formulation for the structures surrounding the fields. We developed a numerical analysis program for the structural-acoustic coupling problems of the multi-domain system, in which boundary conditions such as the continuity of normal particle velocity and sound pressure in the structural interfaces between Field 1 and Field 2 are not needed. The validity of the numerical analysis program is verified by comparing the numerical results with the experimental ones. Example problems are included to investigate the characteristics of the coupled multi-domain system.

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Analyses of Non-linear Behavior of Axisymmetric Structure by Finite Element Method (유한요소법을 이용한 축대칭 구조물의 비선형 거동해석)

  • 구영덕;민경탁
    • Computational Structural Engineering
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    • v.10 no.2
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    • pp.139-148
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    • 1997
  • A finite element method is programmed to analyse the nonlinear behavior of axisymmetric structures. The lst order Mindlin shell theory which takes into account the transversal shear deformation is used to formulate a conical two node element with six degrees of freedom. To evade the shear locking phenomenon which arises in Mindlin type element when the effect of shear deformation tends to zero, the reduced integration of one point Gauss Quadrature at the center of element is employed. This method is the Updated Lagrangian formulation which refers the variables to the state of the most recent iteration. The solution is searched by Newton-Raphson iteration method. The tangent matrix of this method is obtained by a finite difference method by perturbating the degrees of freedom with small values. For the moment this program is limited to the analyses of non-linear elastic problems. For structures which could have elastic stability problem, the calculation is controled by displacement.

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A Computational Platform for Nonlinear Analysis of Prestressed Concrete Shell Structures

  • Kim, Tae-Hoon;Shin, Hyun-Mock
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.6
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    • pp.593-606
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    • 2010
  • This paper presents a formulation to include the prestressing effects in available numerical models for the nonlinear material, instantaneous and long-term analysis of prestressed concrete shell structures, based on the displacement formulation of the finite element method. A four-node flat shell element is adopted for nonlinear analysis of prestressed concrete shells. This element was incorporated into an existing general-purpose finite element analysis program. A distinctive characteristic of the element is its capability to simulate the behavior of shells subjected to a variety of types of loading and drilling rotational stiffness. Consequently, the response of prestressed concrete shell structures can be predicted accurately using the proposed nonlinear finite element procedure.

An Incompressible Flow Computation using a Hierarchical Iterative Method (계층적 반복법을 이용한 비압축성 유동계산)

  • Kim Jin Whan;Jeong Chang Ryul
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2004.05a
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    • pp.216-221
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    • 2004
  • In two dimensional incompressible flaws, a preconditioning technique called Hierarchical Iterative Procedure(HIP) has been implemented on a SUPG finite element formulation. By using the SUPG formulation, one can escape from the LBB constraint and hence achieve an equal order formulation. In this paper, we increased the order of interpolation up to cubic. The conjugate gradient squared(CGS) method is used for the outer iteration, and the HIP for the preconditioning for the incompressible Navier-Stokes equation. The hierarchical elements has been used to achieve a higher order accuracy in fluid flaw analyses, but a proper efficient iterative procedure for higher order finite element formulation has not been available so far. The numerical results by the present HIP for the lid driven cavity flaw showed the present procedure to be stable, very efficient and useful in flaw analyses in conjunction with hierarchical elements.

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An Incompressible Flow Computation by a Hierarchical Iterative Preconditioning (계층적 반복의 예조건화에 의한 비압축성 유동 계산)

  • KIM JIN WHAN;JEONG CHANG-RYUL
    • Journal of Ocean Engineering and Technology
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    • v.17 no.5 s.54
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    • pp.11-18
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    • 2003
  • In two-dimensional incompressible flows, a preconditioning technique called Hierarchical Iterative Procedure (HIP) has been implemented on a SUPG finite element formulation. By using the SUPG formulation, one can escape from the LBB constraint hence, achieving an equal order formulation. In this paper, we increased the order of interpolation up to cubic. The conjugate gradient squared (CGS) method is used for the outer iteration, and the HIP for the preconditioning for the incompressible Navier-Stokes equation. The hierarchical elements have been used to achieve a higher order accuracy in fluid flow analyses, but a proper and efficient iterative procedure for higher order finite element formulation has not been available, thus far. The numerical results by the present HIP for the lid driven cavity flow showed the present procedure to be stable, very efficient, and useful in flow analyses, in conjunction with hierarchical elements.