• 제목/요약/키워드: Deformations

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광섬유 GRATING SENSOR를 이용한 초기재령 콘크리트의 변형 측정 (The Measurement of Concrete Deformations at Early Age using Fiber-Optic Bragg Grating Sensors)

  • 김지상;이상배;김남식
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2000년도 가을 학술발표회 논문집(II)
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    • pp.1238-1241
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    • 2000
  • The deformations of concrete specimens were measured at early at early ages, in order to verify the applicability of FBG(Fiber Bragg Grating) sensors. The FBG sensors were directly buried at various locations in the beam-type RC specimens at the time of fabrication. In this experiment, the changes of strains in concrete at early age were successfully measured as the movement in wavelength of light signals. The FBG sensors may be a very effective tool to investigate the mechanical/thermal behavior inside of concrete structures.

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Nonlinear instability problems including localized plastic failure and large deformations for extreme thermo-mechanical loads

  • Ngo, Van Minh;Ibrahimbegovic, Adnan;Hajdo, Emina
    • Coupled systems mechanics
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    • 제3권1호
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    • pp.89-110
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    • 2014
  • In this work we provide the theoretical formulation, discrete approximation and solution algorithm for instability problems combing geometric instability at large displacements and material instability due to softening under combined thermo-mechanical extreme loads. While the proposed approach and its implementation are sufficiently general to apply to vast majority of structural mechanics models, more detailed developments are provided for truss-bar model. Several numerical simulations are presented in order to illustrate a very satisfying performance of the proposed methodology.

COHOMOLOGY AND DEFORMATIONS OF HOM-LIE-YAMAGUTI COLOR ALGEBRAS

  • Issa, A. Nourou
    • Korean Journal of Mathematics
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    • 제29권2호
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    • pp.271-291
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    • 2021
  • Hom-Lie-Yamaguti color algebras are defined and their representation and cohomology theory is considered. The (2, 3)-cocycles of a given Hom-Lie-Yamaguti color algebra T are shown to be very useful in a study of its deformations. In particular, it is shown that any (2, 3)-cocycle of T gives rise to a Hom-Lie-Yamaguti color structure on T⊕V , where V is a T-module, and that a one-parameter infinitesimal deformation of T is equivalent to that a (2, 3)-cocycle of T (with coefficients in the adjoint representation) defines a Hom-Lie-Yamaguti color algebra of deformation type.

RELATIVE ROTA-BAXTER SYSTEMS ON LEIBNIZ ALGEBRAS

  • Apurba Das;Shuangjian Guo
    • 대한수학회지
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    • 제60권2호
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    • pp.303-325
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    • 2023
  • In this paper, we introduce relative Rota-Baxter systems on Leibniz algebras and give some characterizations and new constructions. Then we construct a graded Lie algebra whose Maurer-Cartan elements are relative Rota-Baxter systems. This allows us to define a cohomology theory associated with a relative Rota-Baxter system. Finally, we study formal deformations and extendibility of finite order deformations of a relative Rota-Baxter system in terms of the cohomology theory.

Development of a Point Tracking System for Measuring Structural Deformations Using Commercial Video Cameras

  • Kim, Hong-Il;Kim, Ho-Young;Park, Hyun-Jin;Han, Jae-Hung;Kim, Jun-Bum;Kim, Do-Hyung;Han, Jeong-Ho
    • International Journal of Aeronautical and Space Sciences
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    • 제10권2호
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    • pp.86-94
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    • 2009
  • This paper deals with the creation of a new, low-cost point/position tracking system that can measure deformations in engineering structures with simple commercially widespread cameras. Though point tracking systems do exist today, such as Stereo Pattern Recognition (SPR) and Projection Moir$\acute{e}$ Interferometry (PMI) systems, they are far too costly to use to analyze small, simple structures because complex optical components such as large flashes, high-resolution cameras and data acquisition systems with several computers are required. We developed a point tracking system using commercial cameras. This system used IR LEDs and commercial IR CCD cameras to minimize the interference posed by other extraneous light sources. The main algorithm used for this system is an optical point tracking algorithm, which is composed of the point extraction algorithm and the point matching algorithm for 3-D motion estimation. a series of verification tests were performed. Then, the developed point tracking system was applied to measure deformations of an acrylic plate under a mechanical load. The measured deformations of the acrylic plate matched well with the numerical analysis results. The results indicate that the developed point tracking system is reliable enough to measure continuous deformed shapes of various engineering structures.

2차원 실내모형실험과 수치해석을 이용한 사질토 지반의 얕은 터널에 대한 지중변형에 대한 규명 (Investigation of Subsurface Deformations for the Shallow Tunnel In A Granular Mass Using Two-Dimensional Laboratory Model Test and Numerical Analysis)

  • 이용주
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2006년도 춘계 학술발표회 논문집
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    • pp.219-228
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    • 2006
  • In urban areas, tunnelling induced ground deformations, particularly ground settlements should be considered in order to minimize the damage of adjacent structures. Therefore, an appropriate monitoring system for the tunnel construction should be setup at the planning or design stage. A number of studies on ground settlements due to tunnelling in soft ground have been carried out so far. However, most studies have focused on clay soil rather than sand soil. In particular, a few studies on behaviour of subsurface deformations in granular material have been reported. In this study, two-dimensional laboratory model test with aluminium rods regarded as continuum granular material and close range photogrammetric technique, and numerical analysis were carried out in order to identify the behaviour of subsurface deformations due to shallow tunnelling. Direction and magnitude of displacement vectors from the model test was identical to the numerical analysis. In particular, the vector direction was appeared to be toward a point below the tunnel invert level. A narrow 'chimney or tulip like' pattern of vertical displacement was confirmed by both the model test and numerical analysis. This is consistent with the field data. In addition to the qualitative comparison, the quantitative comparison of subsurface settlements according to 2D volume loss showed good agreement between the model test and numerical analysis. Therefore, close range photogrammetric technique applied in the model test may be used to validate the result from the continuum numerical analysis.

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유한요소해석과 다변수해석에 의한 선상가열 변형관계식 (Relations between Input Parameters and Residual Deformation in Line Heating process using Finite Element Analysis and Multi-Variate Analysis)

  • 이장현;신종계
    • 대한조선학회논문집
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    • 제39권2호
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    • pp.69-80
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    • 2002
  • 선박의 곡외판은 냉간가공과 열간가공(선상가열) 과정을 거쳐 제작된다. 선상가열의 자동화 및 기계화에 대한 연구가 다양하게 수행되어 오고 있다. 특히 가열조건과 잔류 변형 사이의 관계규명은 자동화 및 기계화를 위한 주요 요소로 생각된다. 본 연구는 그러한 관계를 규명하기 위하여 일련의 체계적인 과정을 제시하고 관계식을 제안하였다. 선상가열에 의한 변형은 3차원 열탄소성 변형현상으로 정식화될 수 있으며, 열탄소성 변형현상을 유한요소해석을 이용하여 다양한 가열조건에 대한 수치해석을 수행하였다. 유한요소법의 유용성을 검증하기 위하여 실험을 수행하였고 그 유용성을 확인하였다 변형관계식에 사용된 입력변수는 차원해석을 통하여 선정하였다. 유한요소법을 이용하여 얻어진 결과를 활용하여 선상가열에 의한 변형관계식을 추정하기 위하여 다변수해석과 다차원 보관과정을 예시하였다. 일련의 과정을 통하여 본 연구는 선상가열의 가열조건과 잔류 변형 사이의 관계식을 선정하기 위한 방법을 제안하였다.

프로브 카드의 열변형 최적화 (Optimization of Thermal Deformation in Probe Card)

  • 장용훈;인정제
    • 한국산학기술학회논문지
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    • 제11권11호
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    • pp.4121-4128
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    • 2010
  • 프로브 카드는 웨이퍼의 칩 검사에 사용된다. 또한 반도체의 고집적화에 따른 미세피치 대응으로 높은 위치 정도가 요구된다. 그러나 실제 장비에서는 하부 척에서 높은 열이 프로브 카드로 전달되어, 프로브 카드의 열변형을 초래하게 된다. 프로브 카드의 수직방향 열변형은 핀의 접촉관련 문제를 야기할 것이고, 수평방향의 열변형은 x-y 방향으로의 위치 오차를 만들 것이다. 따라서 프로브 카드는 허용 범위내의 열변형이 이루어지도록 재질과 구조를 갖게 설계되어야 한다. 본 연구에서는 유한요소 해석프로그램인 ANSYS$^{TM}$를 이용하여 프로브 카드의 실제 부하 조건들을 적용한 열전달 해석을 수행하였다. 정상상태 온도 구배에 대해 열변형이 계산되었으며, 최종적으로 적절한 설계변수들을 조정하여 열변형이 최소화 될 수 있는 새로운 구조를 제안하였다.

Improved analytical method for adhesive stresses in plated beam: Effect of shear deformation

  • Guenaneche, B.;Benyoucef, S.;Tounsi, A.;Adda Bedia, E.A.
    • Advances in concrete construction
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    • 제7권3호
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    • pp.151-166
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    • 2019
  • This paper introduces a new efficient analytical method, based on shear deformations obtained with 2D elasticity theory approach, to perform an explicit closed-form solution for calculation the interfacial shear and normal stresses in plated RC beam. The materials of plate, necessary for the reinforcement of the beam, are in general made with fiber reinforced polymers (Carbon or Glass) or steel. The experimental tests showed that at the ends of the plate, high shear and normal stresses are developed, consequently a debonding phenomenon at this position produce a sudden failure of the soffit plate. The interfacial stresses play a significant role in understanding this premature debonding failure of such repaired structures. In order to efficiently model the calculation of the interfacial stresses we have integrated the effect of shear deformations using the equilibrium equations of the elasticity. The approach of this method includes stress-strain and strain-displacement relationships for the adhesive and adherends. The use of the stresses continuity conditions at interfaces between the adhesive and adherents, results pair of second-order and fourth-order coupled ordinary differential equations. The analytical solution for this coupled differential equations give new explicit closed-form solution including shear deformations effects. This new solution is indented for applications of all plated beam. Finally, numerical results obtained with this method are in agreement of the existing solutions and the experimental results.