• 제목/요약/키워드: shear displacement/stress

검색결과 441건 처리시간 0.021초

대면적 임프린트 장비를 위한 LCD Glass 변형 시뮬레이션 연구 (LCD Glass strain Simulation For Large Size Imprint Equipment)

  • 송영중;신동훈;임홍재;장시열;이기성;정재일
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2007년도 춘계학술대회A
    • /
    • pp.1626-1631
    • /
    • 2007
  • The purpose of the study is to simulate the displacement of the LCD glass during process of a large size imprint. During this process, a small temperature variation makes thermal stress, which causes the horizontal variation of mold and glass. During alignment process to fix the LCD glass on a alignment stage, the vertical displacement is made by the absorption pressure and the shear stress. This study simulates the horizontal displacement of mold and glass due to temperature variation, the vertical displacement depending on the shape of absorption surface fixing the LCD glass in the alignment process, and the horizontal and vertical displacement which occurs in the LCD glass at the alignment process. Algor which is a FEM code for a framework simulation was applied. Temperature variation above ${\pm}$ $0.1^{\circ}C$ on mold and glass causes the horizontal displacement of 150nm due to thermal expansion. The vertical displacement due to the circular is ten times of the case of rectangular absorption nozzle. The displacement of the LCD glass in the alignment process is about 49nm.

  • PDF

Higher-order assumed stress quadrilateral element for the Mindlin plate bending problem

  • Li, Tan;Qi, Zhaohui;Ma, Xu;Chen, Wanji
    • Structural Engineering and Mechanics
    • /
    • 제54권3호
    • /
    • pp.393-417
    • /
    • 2015
  • In this paper an 8-node quadrilateral assumed stress hybrid Mindlin plate element with $39{\beta}$ is presented. The formulation is based on complementary energy principle. The proposed element is free of shear locking and is capable of passing all the patch tests, especially the non-zero constant shear enhanced patch test. To accomplish this purpose, special attention is devoted to selecting boundary displacement interpolation and stress approximation in domain. The arbitrary order Timoshenko beam function is successfully used to derive the boundary displacement interpolation. According to the equilibrium equations, an appropriate stress approximation is rationally derived. Particularly, in order to improve element's accuracy, the assumed stress field is derived by employing $39{\beta}$ rather than conventional $21{\beta}$. The resulting element can be adopted to analyze both moderately thick and thin plates, and the convergence for the very thin case can be ensured theoretically. Excellent element performance is demonstrated by a wide of experimental evaluations.

Higher order flutter analysis of doubly curved sandwich panels with variable thickness under aerothermoelastic loading

  • livani, Mostafa;MalekzadehFard, Keramat;Shokrollahi, Saeed
    • Structural Engineering and Mechanics
    • /
    • 제60권1호
    • /
    • pp.1-19
    • /
    • 2016
  • In this study, the supersonic panel flutter of doubly curved composite sandwich panels with variable thickness is considered under aerothermoelastic loading. Considering different radii of curvatures of the face sheets in this paper, the thickness of the core is a function of plane coordinates (x,y), which is unique. For the first time in the current model, the continuity conditions of the transverse shear stress, transverse normal stress and transverse normal stress gradient at the layer interfaces, as well as the conditions of zero transverse shear stresses on the upper and lower surfaces of the sandwich panel are satisfied. The formulation is based on an enhanced higher order sandwich panel theory and the vertical displacement component of the face sheets is assumed as a quadratic one, while a cubic pattern is used for the in-plane displacement components of the face sheets and the all displacement components of the core. The formulation is based on the von $K{\acute{a}}rm{\acute{a}}n$ nonlinear approximation, the one-dimensional Fourier equation of the heat conduction along the thickness direction, and the first-order piston theory. The equations of motion and boundary conditions are derived using the Hamilton principle and the results are validated by the latest results published in the literature.

The nonlocal theory solution for two collinear cracks in functionally graded materials subjected to the harmonic elastic anti-plane shear waves

  • Zhou, Zhen-Gong;Wang, Biao
    • Structural Engineering and Mechanics
    • /
    • 제23권1호
    • /
    • pp.63-74
    • /
    • 2006
  • In this paper, the scattering of harmonic elastic anti-plane shear waves by two collinear cracks in functionally graded materials is investigated by means of nonlocal theory. The traditional concepts of the non-local theory are extended to solve the fracture problem of functionally graded materials. To overcome the mathematical difficulties, a one-dimensional non-local kernel is used instead of a two-dimensional one for the anti-plane dynamic problem to obtain the stress field near the crack tips. To make the analysis tractable, it is assumed that the shear modulus and the material density vary exponentially with coordinate vertical to the crack. By use of the Fourier transform, the problem can be solved with the help of a pair of triple integral equations, in which the unknown variable is the displacement on the crack surfaces. To solve the triple integral equations, the displacement on the crack surfaces is expanded in a series of Jacobi polynomials. Unlike the classical elasticity solutions, it is found that no stress singularities are present at crack tips.

절리면 전단거동의 크기효과에 관한 실험적 연구 (An Experimental Study for the Scale Effects on Shear Behavior of Rock Joint)

  • 이상은
    • 한국지반환경공학회 논문집
    • /
    • 제7권3호
    • /
    • pp.31-41
    • /
    • 2006
  • 화강암 시료에서 절리면 시편의 크기효과를 연구하기 위해 6가지 크기의 인공절리 시편을 제작하여 직접전단시험을 수행하였다. 각기 다른 수직응력 0.29~2.65MPa과 절리면의 거칠기 파라미터에 대하여 최대전단응력, 잔류전단응력, 전단강성 및 팽창각이 이 연구를 위해 평가되었다. 거칠기 파라미터중 절리거�s계수(JRC)와 절리면의 압축강도(JCS)는 시편의 크기가 증가할수록 감소하였다. 시편의 절리면적이 $12.25cm^2$에서 $361cm^2$으로 증가할 경우 최대전단응력은 약 56~67%, 잔류전단응력은 18~44%까지 감소하였다. 또한 팽창각은 수직응력이 0.29 MPa일 때 $27^{\circ}$, 2.65 MPa일 때 $6^{\circ}$의 변화를 보였다. JRC 크기효과를 고려한 전단강도 관계식이 Barton의 경험식과 비교되었다.

  • PDF

The expanded LE Morgenstern-Price method for slope stability analysis based on a force-displacement coupled mode

  • Deng, Dong-ping;Lu, Kuan;Wen, Sha-sha;Li, Liang
    • Geomechanics and Engineering
    • /
    • 제23권4호
    • /
    • pp.313-325
    • /
    • 2020
  • Slope displacement and factor of safety (FOS) of a slope are two aspects that reflect the stability of a slope. However, the traditional limit equilibrium (LE) methods only give the result of the slope FOS and cannot be used to solve for the slope displacement. Therefore, developing a LE method to obtain the results of the slope FOS and slope displacement has significance for engineering applications. Based on a force-displacement coupled mode, this work expands the LE Morgenstern-Price (M-P) method. Except for the mechanical equilibrium conditions of a sliding body adopted in the traditional M-P method, the present method introduces a nonlinear model of the shear stress and shear displacement. Moreover, the energy equation satisfied by a sliding body under a small slope displacement is also applied. Therefore, the double solutions of the slope FOS and horizontal slope displacement are established. Furthermore, the flow chart for the expanded LE M-P method is given. By comparisons and analyses of slope examples, the present method has close results with previous research and numerical simulation methods, thus verifying the feasibility of the present method. Thereafter, from the parametric analysis, the following conclusions are obtained: (1) the shear displacement parameters of the soil affect the horizontal slope displacement but have little effect on the slope FOS; and (2) the curves of the horizontal slope displacement vs. the minimum slope FOS could be fitted by a hyperbolic model, which would be beneficial to obtain the horizontal slope displacement for the slope in the critical state.

압전재료에서 비정상적으로 전파하는 투과형 모드 III 균열 (Unsteadily Propagating Permeable Mode III Crack in Piezoelectric Materials)

  • 이광호
    • 대한기계학회논문집A
    • /
    • 제36권9호
    • /
    • pp.985-996
    • /
    • 2012
  • 면외 기계적하중과 면내 전기적하중을 받는 압전재료에서 비정상적으로 전파하는 전기투과형 균열에 대하여 연구하였다. 비정상적으로 전파하는 균열에 대한 평형방정식을 개발하였고 근접해법으로 투과형균열에 대한 응력장 및 변위장을 얻었다. 압전상수, 유전율 그리고 균열선단속도 및 응력확대계수의 시간 변화율이 비정상적으로 전파하는 균열선단부근의 응력 및 변위장에 미치는 영향을 명확히 나타내었다. 이러한 응력장과 변위장을 사용하여 비정상적으로 전파하는 균열선단의 응력장 및 변위장의 특성에 대하여 토론하였다.

Tractive performance evaluation of seafloor tracked trencher based on laboratory mechanical measurements

  • Wang, Meng;Wang, Xuyang;Sun, Yuanhong;Gu, Zhimin
    • International Journal of Naval Architecture and Ocean Engineering
    • /
    • 제8권2호
    • /
    • pp.177-187
    • /
    • 2016
  • To evaluate the tractive performance of tracked trencher on seafloor surface, a new shear stress-displacement empirical model was proposed for saturated soft-plastic soil (SSP model). To validate the SSP model, a test platform, where track segment shear test can be performed in seafloor soil simulacrum (bentonite water mixture), was built. Series shear tests were carried out. Test results indicate that the SSP model can describe the mechanical behavior of track segment with good approximation in seafloor soil simulacrum. Through analyzing the main external forces applied to seafloor tracked trencher during the uniform linear trenching process, a drawbar pull prediction model was deduced with the SSP model. A tracked walking mechanism of the seafloor tracked trencher prototype was built, and verification tests were carried out. Test results indicate that this prediction model was feasible and effective; moreover, from another side, this conclusion also proved that the SSP model was effective.

Flexure of cross-ply laminated plates using equivalent single layer trigonometric shear deformation theory

  • Sayyad, Atteshamuddin S.;Ghugal, Yuwaraj M.
    • Structural Engineering and Mechanics
    • /
    • 제51권5호
    • /
    • pp.867-891
    • /
    • 2014
  • An equivalent single layer trigonometric shear deformation theory taking into account transverse shear deformation effect as well as transverse normal strain effect is presented for static flexure of cross-ply laminated composite and sandwich plates. The inplane displacement field uses sinusoidal function in terms of thickness coordinate to include the transverse shear deformation effect. The cosine function in thickness coordinate is used in transverse displacement to include the effect of transverse normal strain. The kinematics of the present theory is much richer than those of the other higher order shear deformation theories, because if the trigonometric term (involving thickness coordinate z) is expanded in power series, the kinematics of higher order theories (which are usually obtained by power series in thickness coordinate z) are implicitly taken into account to good deal of extent. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. The closed-form solutions of simply supported cross-ply laminated composite and sandwich plates have been obtained. The results of present theory are compared with those of the classical plate theory (CPT), first order shear deformation theory (FSDT), higher order shear deformation theory (HSDT) of Reddy and exact three dimensional elasticity theory wherever applicable. The results predicted by present theory are in good agreement with those of higher order shear deformation theory and the elasticity theory.

단순전단 시험법 구축 및 바우싱거효과를 고려한 경화거동 예측 (Development of Test Method for Simple Shear and Prediction of Hardening Behavior Considering the Bauschinger Effect)

  • 김동욱;방성식;김민수;이형일;김낙수
    • 대한기계학회논문집A
    • /
    • 제37권10호
    • /
    • pp.1239-1249
    • /
    • 2013
  • 본 연구에서는 zircaloy-4 판재에 대해 바우싱거 효과를 고려한 경화거동 예측모델을 구축했다. 금속소재 가공에서 인장 후 압축 시 항복응력이 감소한다. 이에 스프링백 해석 시 바우싱거 효과를 반드시 고려해야 한다. Simple shear 시험에서 적정 시편크기 및 적정 조임토크에 대한 결정법을 제시했다. 5 가지 재료에 대한 simple shear 시험을 통해 응력-변형률 곡선을 구했다. 또한 유한요소해석을 활용해 simple shear 하중-변위 곡선으로부터 유효응력-변형률 곡선으로 변환과정을 소개했다. 등방/운동성 경화 조합모델을 활용해 simple shear 순/역방향 시험을 모사했다. 이때 각 경화계수에 따른 하중-변위 곡선 변화를 관찰하고, zircaloy-4에 대한 경화계수를 결정했다.