• 제목/요약/키워드: continuity plate

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Corticotomy for orthodontic tooth movement

  • Lee, Won
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • 제44권6호
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    • pp.251-258
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    • 2018
  • Corticotomy was introduced as a surgical procedure to shorten orthodontic treatment time. Corticotomy removes the cortical bone that strongly resists orthodontic force in the jaw and keeps the marrow bone to maintain blood circulation and continuity of bone tissues to reduce risk of necrosis and facilitate tooth movement. In the 21st century, the concept of regional acceleratory phenomenon was introduced and the development of the skeletal anchorage system using screw and plate enabled application of orthopedic force beyond conventional orthodontic force, so corticotomy has been applied to more cases. Also, various modified methods of minimally invasive techniques have been introduced to reduce the patient's discomfort due to surgical intervention and complications after surgery. We will review the history of corticotomy, its mechanism of action, and various modified procedures and indications.

Prediction of vibration response of functionally graded sandwich plates by zig-zag theory

  • Simmi, Gupta;H.D., Chalak
    • Advances in aircraft and spacecraft science
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    • 제9권6호
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    • pp.507-523
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    • 2022
  • This study is aimed to accurately predict the vibration response of two types of functionally graded sandwich plates, one with FGM core and another with FGM face sheets. The gradation in FGM layer is quantified by exponential method. An efficient zig-zag theory is used and the zigzag impacts are established via a linear unit Heaviside step function. The present theory fulfills interlaminar transverse stress continuity at the interface and zero condition at the top and bottom surfaces of the plate for transverse shear stresses. Nine-noded C-0 FE having 8DOF/node is utilized throughout analysis. The present model is free from the obligation of any penalty function or post-processing technique and hence is computationally efficient. Numerical results have been presented on the free vibration behavior of sandwich FGM for different end conditions, lamination schemes and layer orientations. The applicability of present model is confirmed by comparing with published results. Several new results are also specified, which will serve as the benchmark for future studies.

민들린 평판의 아이소-지오메트릭 형상 설계민감도 해석 (Isogeometric Shape Design Sensitivity Analysis of Mindlin Plates)

  • 이승욱;조선호
    • 한국전산구조공학회논문집
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    • 제26권4호
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    • pp.255-262
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    • 2013
  • 본 논문에서는 아이소-지오메트릭 기법을 기반으로 민들린 후판에 대한 형상 설계민감도 해석법을 제시하였다. 아이소-지오메트릭 기법은 정확한 기하학적 형상의 표현, 요소 사이의 높은 연속성 등 바람직한 강점들을 가지고 있으며 궁극적으로는 해석해로의 빠른 수렴성과 정확한 설계민감도를 제공한다. 선형 형상함수를 사용하는 유한요소법과는 달리 아이소-지오메트릭 기법에서는 높은 차수의 NURBS 기저함수를 활용하여 CAD 형상의 법선벡터와 곡률을 정확하게 고려한다. 전단 잠김(Shear locking) 현상을 극복하기 위해서 선택적 감소적분(Selective reduced integration) 기법을 사용하였다. 이 간단한 방법은 복잡한 정식화 과정 없이 정확한 아이소-지오메트릭 형상 설계민감도 해석을 수행한다. 굽힘 문제에 대한 수치예제를 통하여 제안된 아이소-지오메트릭 해석과 유한요소 해석을 비교하였으며, 유한차분 설계민감도와 비교하여 아이소-지오메트릭 형상 설계민감도는 매우 정확함을 확인하였다.

Domain decomposition technique to simulate crack in nonlinear analysis of initially imperfect laminates

  • Ghannadpour, S. Amir M.;Karimi, Mona
    • Structural Engineering and Mechanics
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    • 제68권5호
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    • pp.603-619
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    • 2018
  • In this research, an effective computational technique is carried out for nonlinear and post-buckling analyses of cracked imperfect composite plates. The laminated plates are assumed to be moderately thick so that the analysis can be carried out based on the first-order shear deformation theory. Geometric non-linearity is introduced in the way of von-Karman assumptions for the strain-displacement equations. The Ritz technique is applied using Legendre polynomials for the primary variable approximations. The crack is modeled by partitioning the entire domain of the plates into several sub-plates and therefore the plate decomposition technique is implemented in this research. The penalty technique is used for imposing the interface continuity between the sub-plates. Different out-of-plane essential boundary conditions such as clamp, simply support or free conditions will be assumed in this research by defining the relevant displacement functions. For in-plane boundary conditions, lateral expansions of the unloaded edges are completely free while the loaded edges are assumed to move straight but restricted to move laterally. With the formulation presented here, the plates can be subjected to biaxial compressive loads, therefore a sensitivity analysis is performed with respect to the applied load direction, along the parallel or perpendicular to the crack axis. The integrals of potential energy are numerically computed using Gauss-Lobatto quadrature formulas to get adequate accuracy. Then, the obtained non-linear system of equations is solved by the Newton-Raphson method. Finally, the results are presented to show the influence of crack length, various locations of crack, load direction, boundary conditions and different values of initial imperfection on nonlinear and post-buckling behavior of laminates.

Transient response of rhombic laminates

  • Anish, Anish;Chaubey, Abhay K.;Vishwakarma, Satyam;Kumar, Ajay;Fic, Stanislaw;Barnat-Hunek, Danuta
    • Structural Engineering and Mechanics
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    • 제70권5호
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    • pp.551-562
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    • 2019
  • In the present study, a suitable mathematical model considering parabolic transverse shear strains for dynamic analysis of laminated composite skew plates under different types of impulse and spatial loads was presented for the first time. The proposed mathematical model satisfies zero transverse shear strain at the top and bottom of the plate. On the basis of the cubic variation of thickness coordinate in in-plane displacement fields of the present mathematical model, a 2D finite element (FE) model was developed including skew transformations in the mathematical model. No shear correction factor is required in the present formulation and damping effect was also incorporated. This is the first FE implementation considering a cubic variation of thickness coordinate in in-plane displacement fields including skew transformations to solve the forced vibration problem of composite skew plates. The effect of transverse shear and rotary inertia was incorporated in the present model. The Newmark-${\beta}$ scheme was adapted to perform time integration from step to step. The $C^0$ FE formulation was implemented to overcome the problem of $C^1$ continuity associated with the cubic variation of thickness coordinate in in-plane displacement fields. The numerical studies showed that the present 2D FE model predicts the result close to the analytical results. Many new results varying different parameter such as skew angles, boundary conditions, etc. were presented.

기하학적 비선형 판재 해석을 위한 혼합형 FE Model 연구 (Study of a Mixed Finite Element Model for the Analysis of a Geometrically Nonlinear Plate)

  • 김우람;최윤대
    • 대한기계학회논문집A
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    • 제34권10호
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    • pp.1427-1435
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    • 2010
  • 전통 판재이론을 이용하여 기하학적 비선형성을 갖는 판재의 휨해석을 위한 혼합형 유한요소모델을 구성 하였다. 혼합형 유한요소 모델의 구성에 포함되는 변형률과 합성력의 관계에 대한 적절한 가중함수를 찾기 위하여 라그랑지 승수법과 최소가상에너지 원리를 사용하였다. 각 요소별 유한요소 방정식의 계수행렬과 뉴턴 반복법 사용을 위한 접선 행렬에 대한 구체적 값을 제시하였다. 구성된 유한요소 해석모델의 선형 해에 대한 정확도 분석을 위하여, 여러 경계조건하에서의 수학적 해와 제시된 모델과 기존 모델의 유한요소해를 비교하여 현재 모델의 정확도의 향상을 확인하였다. 또한 수렴된 비선형해를 이용하여 제시된 모델의 경우, 각종 합성력들에 대한 요소 경계에서의 연속성이 기존의 모델의 합성력에 비해 개선됨을 제시하였다. 최종적으로 수렴한 비선형해에 대한 유효성을 보이기 위하여 기존 모델의 비선형 수렴해와 현재 모델의 비선형 수렴해를 비교하여 제시하였다.

다층 예비성형체에 대한 삼차원 충진해석 (Three-Dimensional Mold Filling Simulation for Multi-layered Preform in Resin Transfer Molding)

  • 양매;송영석;윤재륜
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2005년도 춘계학술발표대회 논문집
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    • pp.137-140
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    • 2005
  • Resin transfer molding (RTM) is one of the most popular processes for producing fiber reinforced polymer composites. In the manufacture of complex thick composite structures, analysis on flow front advancement on the resin impregnating the multi-layered fiber preform is helpful for the optimization of the process. In this study, three-dimensional mold filling simulation of RTM is carried out by using CVFEM (Control Volume Finite Element Method). On the assumption of isothermal flow of Newtonian fluid, Darcy’s law and continuity equation are used as governing equations. Different permeability tensors employed in each layer are obtained by experiments. Numerically predicted flow front is compared with experimental one in order to validate the numerical results. Flow simulations are conducted in the two mold geometries, rectangular plate and hollow cylinder. Permeability tensor of each layer preform in Cartesian coordinate system is transformed to cylinder coordinates system so that the flow within the multi-layered preforms of the hollow cylinder can be calculated exactly. Our emphasis is on the three dimensional flow analysis for circular three-dimensional braided preform, which shows outstanding mechanical properties such as high impact strength and toughness compared with other conventional two-dimensional laminar-structured preforms.

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다양한 기하학적 형상을 갖는 층간 분리된 복합신소재 적층구조의 동적 불안정성 (Dynamic Instability of Delaminated Composite Structures with Various Geometrical Shapes)

  • 이상열;장석윤
    • 복합신소재구조학회 논문집
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    • 제1권1호
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    • pp.1-8
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    • 2010
  • The dynamic instability analysis of delaminated composite structures subjected to in-plane pulsating forces is carried out based on the higher order shell theory of Sanders. In the finite element (FE) formulation, the seven degrees of freedom per each node are used with transformations in order to fit the displacement continuity conditions at the delamination region. The boundaries of the instability regions are determined using the method proposed by Bolotin. The numerical results obtained for skew plates and shells are in good agreement with those reported by other investigators. The new results for delaminated skew plate and shell structures in this study mainly show the effect of the interactions between the radius-length ratio and other various parameters, for example, skew angles, delamination size, the fiber angle of layer and location of delamination in the layer direction. The effect of the magnitude of the periodic in-plane load on the instability regions is also investigated.

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새로운 Millard 회전-신전 변법 (Various Modification of the Millard' s rotation-advancement lip repair)

  • 이종호;김용덕;서병무;최진영;정필훈;김명진;민병일
    • 대한구순구개열학회지
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    • 제4권1호
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    • pp.27-38
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    • 2001
  • In the treatment of the cleft lip, Millard rotation-advancement lip repair is usually adopted in many clinics for the focusing on the repair of the muscle layer continuity and preservation of natural landmarks, But there is a limitation in the wide cleft because of the asymmetry of the lip due to the vertical contracture of the scar and the shortness of the ala to commissure distance, so many modifications are proposed, This object of this study is to help in the cleft lip surgery with investigating its features and design respectively and compared its merits and demerits each other.

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다중 층간 분리부가 내재된 복합재 쉘 고차 지그재그 모델의 유한요소 해석 (A Finite Element Analysis based on Higher-Order Zig-Zag Shell Theory for Laminated Composites with Multiple Delamination)

  • 오진호;조맹효
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2004년도 가을 학술발표회 논문집
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    • pp.229-236
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    • 2004
  • A new three-node triangular shell element based on higher order zig-zag theory is developed for laminated composite shells with multiple delaminations. The present higher order zig-zag shell theory is described in a general curvilinear coordinate system and in general tensor notation. All the complicated curvatures of surface including twisting curvatures can be described in an exact manner in the present shell element because this element is based on geometrically exact surface representation. The displacement field of the proposed finite element includes slope of deflection. which requires continuity between element interfaces. Thus the nonconforming shape function of Specht's three-node triangular plate bending element is employed to interpolate out-of-plane displacement. The present element passes the bending and twisting patch tests in flat surface configurations. The developed element is evaluated through the buckling problems of composite cylindrical shells with multiple delaminations. Through the numerical examples it is demonstrated that the proposed shell element is efficient because it has minimal degrees of freedom per node. The accuracy of the present element is demonstrated in the prediction of buckling loads and buckling modes of shells with multiple delaminations. The present shell element should serve as a powerful tool in the prediction of buckling loads and modes of multi-layered thick laminated shell structures with arbitrary-shaped multiple delaminations.

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