• Title/Summary/Keyword: Normal element

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Geometrically Nonlinear Analysis of Stiffened Shell Structures Using the Assumed Strain Shell Element (가정변형도 쉘요소를 이용한 보강된 쉘구조의 기하학적 비선형해석)

  • 최명수;김문영;장승필
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.2
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    • pp.209-220
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    • 2000
  • For non-linear analysis of stiffened shell structures, the total Lagrangian formulation is presented based upon the degenerated shell element. Geometrically correct formulation is developed by updating the direction of normal vectors and taking into account second order rotational terms in the incremental displacement field. Assumed strain concept is adopted in order to overcome shear locking phenomena and to eliminate spurious zero energy mode. The post-buckling behaviors of stiffened shell structures are traced by modeling the stiffener as a shell element and considering general transformation between the main structure and the stiffener at the connection node. Numerical examples to demonstrate the accuracy and the effectiveness of the proposed shell element are presented and compared with references' results.

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Evaluation of Strength and Residual Stress in $Si_3N_4/SUS304$ Joint ($Si_3N_4/SUS304$ 접합재의 잔류응력 및 강도평가)

  • 박영철;오세욱;조용배
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.1
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    • pp.101-112
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    • 1994
  • The measurement of residual stress distribution of $Si_3N_4/SUS304$ joint was performed on 23 specimens with the same joint condition using PSPC type X-ray stress measurement system and the two-dimensional elastoplastic analysis using finite element method was also attempted. As results, residual stress distribution near the interface on the ceramic side of the joint was revealed quantitatively. Residual stress on the ceramic side of the joint was turned out to be tensional near the interface, maximum along the edge, varying in accordance with the condition of the joint and variance to be most conspicuous for the residual stress normal to the interface characterized by the stress singularities. In the vicinity of the interface, the high stress concentration occurs and residual stress distributes three-dimensionally. Therefore, the measured stress distribution differed remarkably from the result of the two-dimensional finite-element analysis. Especially at the center of the specimen near the interface, the residual stress, $\sigma_{x}$ obtained from the finite element analysis was compressive, whereas measurement using X-ray yielded tensile $\sigma_{x}$. Here we discuss two dimensional superposition model the discrepancy between the results from the two dimensional finite element analysis and X-ray measurement.

Large Deflection and Elastoplastic Analysis of the Plane Framed Structure Using Isoparametric Curved Beam Element (Isoparametric 곡선(曲線) 보요소(要素)를 이용한 평면(平面)뼈대 구조물(構造物)의 대변형(大變形) 및 탄소성(彈塑性) 유한요소해석(有限要素解析))

  • Kim, Moon Young;Shin, Hyun Mock;Lee, Chang Yong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.2
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    • pp.41-49
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    • 1993
  • This paper presents a geometrically non-linear and elastoplastic F.E. formulation using a total Lagrangian approach for the two dimensional isoparametric curved beam elements. The beam element is derived by using plane stress elements. The basic element geometry is constructed using the coordinates of the nodes on the element center line and the nodal point normals. The element displacement field is described using two translations of the node on the center line and a rotation about the axes normal to the plane containing the center line of the element. The layered approach is used for the elastoplastic analysis of the plane framed structure with the arbitrary cross section. The iterative load or displacement incremental method for non-linear finite element analysis of the frame structure is used. Numerical examples are presented to demonstrate the behavior and the accuracy of the proposed beam element for geometric and elastoplastic non-linear applications. Comparisons made with present theory and other published data show that tilt' beam element products accurate results with good convergence characteristics.

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Iterative identification methods for ill-conditioned processes

  • Lee, Jietae;Cho, Wonhui;Edgar, Thomas F.
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1762-1765
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    • 1997
  • Some ill-conditioned processes are very sensitive to small element-wise uncertainties arising in classical element-by-element model identifications. For such processes, accurate identification of simgular values and right singular vectors are more important than theose of the elements themselves. Singular values and right singular vectors can be found by iteraive identification methods which implement the input and output transformations iteratively. Methods based on SVD decomposition, QR decomposition and LU decomposition are proposed and compared with the Kuong and Mac Gregor's method. Convergence proofs are given. These SVD and QR mehtods use normal matrices for the transformations which cannot be calculated analytically in general and so they are hoard to apply to dynamic processes, whereas the LU method used simple analyitc transformations and can be directly applied to dynamic processes.

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Stress Properties in Multilayer Piezoelectric Ceramic Actuators using Finite Element Analysis (유한요소 해석을 이용한 적층 압전 세라믹 액츄에이터의 응력 특성)

  • 홍재일
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.11 no.11
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    • pp.963-968
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    • 1998
  • The stress distribution in multilayer piezoelectric ceramic actuators was investigated by Finite element analysis. The y direction stress was concentrated at electrode tip. The y direction maximum stress was decreased to 4.9$\times10^ 7 N/m^2$ with internal electrode gap(a) until 0.4 mm and was not much difference with external electrode thickness(c). The stress distribution with internal layers was almost same and the stress distribution of load condition was higher than that of no load condition The y direction maximum stress increased with the number of layer and saturated at 260 layers. In the case of defective actuator, the stress distribution was disconnected around the defect and larger than that of normal actuator.

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Development and Assessment of Higher Order Zig-zag Theory for smart composite plates under mechanical, thermal, and electric loads (열-전기-기계 하중을 받는 스마트 복합재 평판의 고차 지그재그 유한요소의 개발 및 성능 평가)

  • 오진호;조맹효
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2001.10a
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    • pp.191-194
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    • 2001
  • A partially coupled thermo-piezoelectric-mechanical triangular finite element model of composite laminates with surface bonded piezoelectric actuators, subjected to externally applied mechanical load, temperature change load, electric field load is developed. The governing differential equations are obtained by applying the principle of free energy and variational techniques. A higher order zigzag theory displacement field is employed to accurately capture the transverse shear and normal effects in laminated composite plates of arbitrary thickness. Nonconforming shape functions by Specht are employed in the transverse displacement variables. Numerical examples demonstrate the accuracy and efficiency of the proposed triangular plate element.

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A penalty rigid-plastic finite element method for prediction of stress distributions at the tool and workpiece interfaces in metal forming (소성가공중 금형과 가공체의 접촉면에 작용하는 응력의 예측을 위한 벌칙 강소성 유한요소법)

  • 황상무;전만수;박재성
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.507-514
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    • 1991
  • A penalty finite element method has been developed for accurately predicting stress distributions at the tool-workpiece interfaces. The basic formulation is described, with the emphasis on the algorithm to deal with the normal stress and the frictional stress at the interface. Comparison with the experimental data and the theoretical solutions found in the literature is made for the forming processes selected.

Regeneration of Tobacco Tissue Introduced with the Maize Transposable Element Activator (옥수수 전이인자 Ac가 도입된 연초조직의 재분화)

  • 박성원;최광태;박지창;김영진
    • Journal of the Korean Society of Tobacco Science
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    • v.13 no.2
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    • pp.34-41
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    • 1991
  • To explore the possibility of introducing Zea mays transposable element Ac(activator) which can be used as a mutagen and gene tag in tobacco plants other than maitre, we tried to introduce a cloned Ac element into tobacco cells by an Agrobacterium tumefaciens binary vector system. Transformation of N. babacum cv. Burley 21 tissues and regeneration to whole plant were carried out. The frequency of the transformed callus induced in shoot induction media was higher than that of transformed callus induced in callus induction media. However, the calli were not grown in the second selection media, and became yellow senescent calli. Regenerated tobacco plantlets with foreign gene were also obtained in shoot induction media containing 100 $\mu\textrm{g}$/ml kanamycin and 100$\mu\textrm{g}$/ml carbenicillin. The leaf tissues of transformant was also resistant to 1000 $\mu\textrm{g}$/ml kanamycin. The chromosomal DNAs of transformant and normal plant of N. tabacum were digested by EcoR I and Hind III but not by Pst I.

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An embedded crack model for failure analysis of concrete solids

  • Dujc, Jaka;Brank, Bostjan;Ibrahimbegovic, Adnan;Brancherie, Delphine
    • Computers and Concrete
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    • v.7 no.4
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    • pp.331-346
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    • 2010
  • We present a quadrilateral finite element with an embedded crack that can be used to model tensile fracture in two-dimensional concrete solids and the crack growth. The element has kinematics that can represent linear jumps in both normal and tangential displacements along the crack line. The cohesive law in the crack is based on rigid-plasticity with softening. The required material data for the concrete failure analysis are the constants of isotropic elasticity and the mode I softening curve. The results of two well known tests are presented in order to illustrate very satisfying performance of the presented approach to simulate failure of concrete solids.

A reinforced concrete frame element with shear effect

  • Valipour, Hamid R.;Foster, Stephen J.
    • Structural Engineering and Mechanics
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    • v.36 no.1
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    • pp.57-78
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    • 2010
  • A novel flexibility-based 1D element that captures the material nonlinearity and second order P-$\Delta$ effects within a reinforced concrete frame member is developed. The formulation is developed for 2D planar frames in the modified fiber element framework but can readily be extended to 3D cases. The nonlinear behavior of concrete including cracking and crushing is taken into account through a modified hypo-elastic model. A parabolic and a constant shear stress distribution are used at section level to couple the normal and tangential tractions at material level. The lack of objectivity due to softening of concrete is addressed and objectivity of the response at the material level is attained by using a technique derived from the crack band approach. Finally the efficiency and accuracy of the formulation is compared with experimental results and is demonstrated by some numerical examples.