• 제목/요약/키워드: Distribution of Stresses and Strains

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캔틸레버의 길이와 하중이 하악 임플랜트지지 고정성 보철물의 응력 분산에 미치는 영향 (EFFECT OF CANTILEVER LENGTH AND LOAD ON STRESS DISTRIBUTION OF FIXED IMPLANT-SUPPORTED PROSTHESES)

  • 태윤섭;이화영;조혜원
    • 대한치과보철학회지
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    • 제36권4호
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    • pp.615-643
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    • 1998
  • The purpose of this study was to evaluate the effect of cantilever length, load, and implant number on the stress distribution of implant supported fixed prosthesis. In the replica of an edentulous human mandible, four or five implants were placed and spaced evenly between the mental foramina and symmetrical gold alloy cast superstructures with cantilever were fabricated. Strain gauges were placed in buccal and lingual side of implants. 9, 15, 21kg of loads at varying cantilever lengths were applied to the occlusal surface of fixed prostheses. The strains were recorded from each gauge and principal stresses were calculated The results were as follows : 1. Increasing the length of the cantilever increased the stresses on the bone supporting implants. and the ratio of increase became high as increasing the load. 2. In the model with four implants, the highest compressive stress was measured on lingual side of the first implants nearest loading point and the highest tensile stress was measured on buccal side of the second implants. 3. In the model with five implants, the highest compressive stress was measured on lingual side of the first implants nearest loading point. And the highest tensile stress was measured on buccal side of the second implants, and lingual side of the third implants. 4. There was no significant change of the magnitude of stress on the most distal imp]ant of non cantilevered side as increasing the cantilever length or load. 5. In general, the superstructure supported by five implants reduced the stress and was less affected by cantilever length compared to the support provided by four implants.

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Thermal buckling analysis of thick anisotropic composite plates by finite strip method

  • Cheung, M.S.;Akhras, G.;Li, W.
    • Structural Engineering and Mechanics
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    • 제7권5호
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    • pp.473-484
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    • 1999
  • In the present study, the thermal buckling analysis of thick anisotropic laminated composite plates is carried out using the finite strip method based on the higher-order shear deformation theory. This theory accounts for the parabolic distribution of the transverse shear strains through the thickness of the plate and for zero transverse shear stresses on the plate surfaces. Therefore, this theory yields improved results over the Mindlin plate theory and eliminates the need for shear correction factors in calculating the transverse shear stiffness. The critical temperatures of simply supported rectangular cross-ply and angle-ply composite laminates are calculated. The effects of several parameters, such as the aspect ratio, the length-to-thickness ratio, the number of plies, fibre orientation and stacking sequence, are investigated.

오차 예측과 격자밀도 지도를 이용한 적응 Delaunay 격자생성방법 (Adaptive Delaunay Mesh Generation Technique Based on a Posteriori Error Estimation and a Node Density Map)

  • 홍진태;이석렬;박철현;양동열
    • 소성∙가공
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    • 제13권4호
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    • pp.334-341
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    • 2004
  • In this study, a remeshing algorithm adapted to the mesh density map using the Delaunay mesh generation method is developed. In the finite element simulation of forging process, the numerical error increases as the process goes on because of discrete property of the finite elements and distortion of elements. Especially, in the region where stresses and strains are concentrated, the numerical error will be highly increased. However, it is not desirable to use a uniformly fine mesh in the whole domain. Therefore, it is necessary to reduce the analysis error by constructing locally refined mesh at the region where the error is concentrated such as at the die corner. In this paper, the point insertion algorithm is used and the mesh size is controlled by using a mesh density map constructed with a posteriori error estimation. An optimized smoothing technique is adopted to have smooth distribution of the mesh and improve the mesh element quality.

Effect of the micromechanical models on the bending of FGM beam using a new hyperbolic shear deformation theory

  • Zouatnia, Nafissa;Hadji, Lazreg
    • Earthquakes and Structures
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    • 제16권2호
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    • pp.177-183
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    • 2019
  • In this paper, a new refined hyperbolic shear deformation beam theory for the bending analysis of functionally graded beam is presented. The theory accounts for hyperbolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the functionally graded beam without using shear correction factors. In addition, the effect of different micromechanical models on the bending response of these beams is studied. Various micromechanical models are used to evaluate the mechanical characteristics of the FG beams whose properties vary continuously across the thickness according to a simple power law. Based on the present theory, the equilibrium equations are derived from the principle of virtual work. Navier type solution method was used to obtain displacement and stresses, and the numerical results are compared with those available in the literature. A detailed parametric study is presented to show the effect of different micromechanical models on the flexural response of a simply supported FG beams.

평판디스플레이용 진공패널에서 유리기판이 받는 응력 및 변위분포에 관한 연구 (Study on the Stress and Displacement Distribution in the Glass Plate for Vacuum-sealed Flat Panel Displays)

  • 김희수;조영래;문제도;오재열;정태은;정효수
    • 한국재료학회지
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    • 제8권12호
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    • pp.1121-1126
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    • 1998
  • 평판디스플레이용 진공패널의 제작시 진공으로 유지된 패널을 구성하는 유리판이 받는 응력과 변위를 계산하였다. 유리판의 두께, 패널의 크기 및 실링폭의 크기를 변수로 하여 실제로 진공패널을 제작한 후 패널의 파괴양상과 변위를 측정하였다. 유리판의 파괴양상과 변형측정을 통하여 유리판에 걸리는 최대응력은 테두리부분에 걸리는 것을 확인하였다. 제작된 진공패널이 갖는 응력분포 및 변위의 분포는 패널을 진공실링할 때 사용한 실런트의 폭에 크게 의존하였다. 패널의 실링폭이 커질수록 모서리가 완전 고정된 조건으로 계산한 결과와 유사하였다. 두께가 3mm인 유리판을 사용해서 $80$\times$120textrm{mm}^2$ 크기의 패널을 제작할 때 실링폭이 20mm인 경우 측정된 변위는 $57\mu\textrm{m}$였으며, 이 값은 모서리가 완전히 고정된 조건으로 계산한 갈인 $54\mu\textrm{m}$와 비슷하였다.

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접촉하중을 받는 코팅층이 있는 부재의 응력해석을 위한 부분 모델 방법의 개발 (The Development of Partial Model for Thermo-Mechanical Stress Analyses of Part with Coated Layer under Contact Load)

  • 권영두;김석삼;구남서;박정규
    • Tribology and Lubricants
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    • 제18권3호
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    • pp.194-203
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    • 2002
  • This paper is the first step fur thermo-mechanical stress analyses of part with coated layer under contact load. A lot of coated material is applied in many structures to endure severe situation, like thermal stresses, high temperature gradients, irradiation, impacts by microscopic meteorites, and so on. In this part we are going to apply the FEM to analyze space parts with a coated layer subjected to a contact load thermo-mechanically. Coating layer is very thin in comparision with the structure, therefore it should take more times and behaviors to analyze whole model. In these reason we develop the FEM method of analyzing part with coated layer under contact load using partial model. Steady state temperature distribution of the part is obtained first, and then we apply quasi-static external load on the part. To obtain the final stage of solution, we compute the total solution, and by subtracting the thermal strain from the total ones we get the mechanical strains to compute stresses of the parts. In using the FEM, one has to discretize the model into many sub-domain, finite elements. The method is consisited of two steps. First step is to analyze the whole model with rather coarse meshes. Second step we cut a small region near the loading point, and analyze with very fine meshes. This method is allowable by the Saint-Venant's principle. And then, we finally shall check the therma1 load on the stresses of the space part with coating layer with or without substrate cracks. Then, we predict the actual behaviors of the part used in space.

범용 구조해석 프로그램의 주물 열변형 해석에의 적용성 (Application of Commercial FEM Code to Coupled Analysis of Casting Deformation)

  • 김기영;김정태;최정길
    • 한국주조공학회지
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    • 제22권4호
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    • pp.192-199
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    • 2002
  • Dimensional defects of castings are mainly due to the stresses and strains caused by a nonuniform temperature distribution and phase transformation during solidification and cooling, and by mechanical constraint between the mold and casting. It is, however, nearly impossible to trace movements of the casting and mold during solidification and cooling by experimental measurements for castings with complex shape. Two and three dimensional deformation analyses of the casting and the mold were performed using commercial finite element code, MARC. It was possible to calculate deformation and temperature distribution in the casting and mold simultaneously. Cooling curves of the casting obtained by calculation were close to that measured in the field since it was possible to treat latent heat evolution of the casting which could be divided into two parts, primary and eutectic parts. Mold bent inward just after pouring due to the temperature gradient across the mold thickness, and mold returned to its previous position with time. Plastic deformation occurred at the part of the casting where solidification was slow.

Two dimensional time-dependent creep analysis of a thick-walled FG cylinder based on first order shear deformation theory

  • Loghman, Abbas;Faegh, Reza K.;Arefi, Mohammad
    • Steel and Composite Structures
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    • 제26권5호
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    • pp.533-547
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    • 2018
  • In this paper the time-dependent creep analysis of a thick-walled FG cylinder with finite length subjected to axisymmetric mechanical and thermal loads are presented. First order shear deformation theory (FSDT) is used for description of displacement components. Inner and outer temperatures and outer pressure are considered as thermo-mechanical loadings. Both thermal and mechanical loadings are assumed variable along the axial direction using the sinusoidal distribution. To find temperature distribution, two dimensional heat transfer equation is solved using the required boundary conditions. The energy method and Euler equations are employed to reach final governing equations of the cylinder. After determination of elastic stresses and strains, the creep analysis can be performed based on the Yang method. The results of this research indicate that the boundaries have important effects on the responses of the cylinder. The effect of important parameters of this analysis such as variable loading, non-homogeneous index of functionally graded materials and time of creep is studied on the behaviors of the cylinder.

Bi-axial and shear buckling of laminated composite rhombic hypar shells

  • Chaubey, Abhay K.;Raj, Shubham;Tiwari, Pratik;Kumar, Ajay;Chakrabarti, Anupam;Pathak, K.K.
    • Structural Engineering and Mechanics
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    • 제74권2호
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    • pp.227-241
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    • 2020
  • The bi-axial and shear buckling behavior of laminated hypar shells having rhombic planforms are studied for various boundary conditions using the present mathematical model. In the present mathematical model, the variation of transverse shear stresses is represented by a second-order function across the thickness and the cross curvature effect in hypar shells is also included via strain relations. The transverse shear stresses free condition at the shell top and bottom surfaces are also satisfied. In this mathematical model having a realistic second-order distribution of transverse shear strains across the thickness of the shell requires unknown parameters only at the reference plane. For generality in the present analysis, nine nodes curved isoparametric element is used. So far, there exists no solution for the bi-axial and shear buckling problem of laminated composite rhombic (skew) hypar shells. As no result is available for the present problem, the present model is compared with suitable published results (experimental, FEM, analytical and 3D elasticity) and then it is extended to analyze bi-axial and shear buckling of laminated composite rhombic hypar shells. A C0 finite element (FE) coding in FORTRAN is developed to generate many new results for different boundary conditions, skew angles, lamination schemes, etc. It is seen that the dimensionless buckling load of rhombic hypar increases with an increase in c/a ratio (curvature). Between symmetric and anti-symmetric laminations, the symmetric laminates have a relatively higher value of dimensionless buckling load. The dimensionless buckling load of the hypar shell increases with an increase in skew angle.

Computer modeling of elastoplastic stress state of fibrous composites with hole

  • Polatov, Askhad M.;Ikramov, Akhmat M.;Khaldjigitov, Abduvali A.
    • Coupled systems mechanics
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    • 제8권4호
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    • pp.299-313
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    • 2019
  • The paper represents computer modeling of the deformed state of physically nonlinear transversally isotropic bodies with hole. In order to describe the anisotropy of the mechanical properties of transversally-isotropic materials a structurally phenomenological model has been used. This model allows representing the initial material in the form of the coupled isotropic materials: the basic material (binder) considered from the positions of continuum mechanics and the fiber material oriented along the anisotropy direction of the original material. It is assumed that the fibers perceive only the axial tensile-compression forces and are deformed together with the base material. To solve the problems of the theory of plasticity, simplified theories of small elastoplastic deformation have been used for a transversely-isotropic body, developed by B.E. Pobedrya. A simplified theory allows applying the theory of small elastoplastic deformations to solve specific applied problems, since in this case the fibrous medium is replaced by an equivalent transversely isotropic medium with effective mechanical parameters. The essence of simplification is that with simple stretching of composite in direction of the transversal isotropy axis and in direction perpendicular to it, plastic deformations do not arise. As a result, the intensity of stresses and deformations both along the principal axis of the transversal isotropy and along the perpendicular plane of isotropy is determined separately. The representation of the fibrous composite in the form of a homogeneous anisotropic material with effective mechanical parameters allows for a sufficiently accurate calculation of stresses and strains. The calculation is carried out under different loading conditions, keeping in mind that both sizes characterizing the fibrous material fiber thickness and the gap between the fibers-are several orders smaller than the radius of the hole. Based on the simplified theory and the finite element method, a computer model of nonlinear deformation of fibrous composites is constructed. For carrying out computational experiments, a specialized software package was developed. The effect of hole configuration on the distribution of deformation and stress fields in the vicinity of concentrators was investigated.