• 제목/요약/키워드: Isotropic loading

검색결과 187건 처리시간 0.057초

유한요소 교호법을 이용한 모드 I 하중 하의 삼차원 균열의 해석 (Analysis of Three Dimensional Cracks Subjected to the Mode I Loading by Using FEAM)

  • 김태순;박재학
    • 대한기계학회논문집A
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    • 제24권4호
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    • pp.982-990
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    • 2000
  • The finite element alternating method is extended further for general three dimensional cracks in an isotropic body subjected to the mode I loading. The required analytical solution for a dime dimensional crack in an infinite isotropic body is obtained by solving the integral equations. In order to remove the high singularity in integration, the technique suggested by Keat et al. was used. With the proposed method several example problems are solved in order to check the accuracy and efficiency of the method.

Development of finite element model using incremental endochronic theory for temperature sensitive material

  • Kerh, Tienfuan;Lin, Y.C.
    • Structural Engineering and Mechanics
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    • 제16권2호
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    • pp.115-126
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    • 2003
  • A novel finite element model based on the incremental endochronic theory with the effect of temperature was developed in this study to explore the deformed behaviors of a flexible pavement material. Three mesh systems and two loading steps were used in the calculation process for a specimen of three-dimensional circular cylinder. Computational results in the case of an uni-axial compression test for temperatures at $20^{\circ}C$ and at $40^{\circ}C$ were compared with available experimental measurements to verify the ability of developing numerical scheme. The isotropic response and the deviatoric response due to the thermal effect were presented from deformations in different profiles and displacement plots for the entire specimen. The characteristics of changing asphalt concrete material under a specified loading condition might be seen clearly from the numerical results, and might provide an useful information in the field of road engineering.

GENERALIZED THERMO ELASTIC WAVES IN A CYLINDRICAL PANEL EMBEDDED ON ELASTIC MEDIUM

  • Ponnusamy, P.;Selvamani, R.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제17권1호
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    • pp.1-15
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    • 2013
  • In this paper the three dimensional wave propagation in a homogeneous isotropic thermo elastic cylindrical panel embedded in an elastic medium (Winkler model) is investigated in the context of the L-S (Lord-Shulman) theory of generalized thermo elasticity. The analysis is carried out by introducing three displacement functions so that the equations of motion are uncoupled and simplified. A Bessel function solution with complex arguments is then directly used for the case of complex Eigen values. This type of study is important for design of structures in atomic reactors, steam turbines, wave loading on submarine, the impact loading due to superfast train and jets and other devices operating at elevated temperature. In order to illustrate theoretical development, numerical solutions are obtained and presented graphically for a zinc material with the support of MATLAB.

Anisotropy in Gum and Black Filled SBR and NR Vulcanizates Due to Large Deformation

  • Park, Byung-Ho;G.R. Hamed
    • Macromolecular Research
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    • 제8권6호
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    • pp.268-275
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    • 2000
  • After imposing a large pre-strain, anisotropy increases with increasing residual extension ratio. Gums have very low residual extension ratio and exhibit little anisotropy, while black filled SBR and especially sulfur-cured carbon black filled NR have large set and anisotropy. For carbon black filled rubber, samples subjected to tensile loading in perpendicular to the pre-strain direction have the same stress-strain curves shape as the sample without pre-strain (=isotropic samples), but slightly lower modulus. However, compared to isotropic or perpendicular directional samples to pre-strain direction, samples subjected to tensile loading in parallel to the pre-strain direction show low stress at low deformation, but have high stiffness at high deformation. Normalized anisotropy changes with strain. The normalized anisotropy for various deformations is a linear function of residual extension ratio.

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저항 부하된 소형 다이폴을 이용한 3축 등방성 전기장 프로브 설계 (3-Axial Isotropic Electric-Field Probe Design with Resistor-Loaded Short Dipole)

  • 문성원;장병준
    • 한국전자파학회논문지
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    • 제28권3호
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    • pp.246-249
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    • 2017
  • 본 논문에서는 저항 부하를 갖는 소형 다이폴을 이용하여 3축 등방성 전기장 측정 프로브를 설계하였다. 특히, 상용 저항소자와 PCB를 이용함으로써 상용화에 장점이 있다. 설계된 전기장 측정 프로브는 저항 부하로 인한 광대역 특성으로 100 kHz에서 3 GHz까지의 광대역 특성을 갖는다. 제작 결과 광대역에 걸쳐 ${\pm}0.39dB$ 이내의 등방성 특성, 0.1 V/m의 수신감도 특성, 3 dB 이내의 주파수 응답 특성을 얻었다. 특히 250 kHz에서 3 GHz까지의 주파수 응답 특성은 ${\pm}1.4dB$의 우수한 특성을 보여 기존 전기장 프로브에 비해 우수한 특성 개선을 보였다.

Analysis of Propagating Crack Along Interface of Isotropic-Orthotropic Bimaterial by Photoelastic Experiment

  • 이광호;;;;황재석
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집A
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    • pp.102-107
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    • 2001
  • Interfacial cracks between an isotropic and orthotropic material, subjected to static far field tensile loading are analyzed using the technique of photoelasticity. The fracture parameters are extracted from the full-field isochromatic data and the same are compared with that obtained using boundary collocation method. Dynamic Photoelasticity combined with high-speed digital photography is employed for capturing the isochromatics in the case of propagating interfacial cracks. The normalized stress intensity factors for static crack is greater when $\alpha=90^{\circ}C$ (fibers perpendicular to the interface) than when $\alpha=0^{\circ}C$ (fiber parallel to the interface) and those when $\alpha=90^{\circ}C$ are similar to ones of isotropic material. The dynamic stress intensity factors for interfacial propagating crack are greater when $\alpha=0^{\circ}C$ than $\alpha=90^{\circ}C$. The relationship between complex dynamic stress intensity factor $|K_D|$ and crack speed C is similar to that for isotropic homogeneous materials, the rate of increase of energy release rate G or $|K_D|$ with crack speed is not as drastic as that reported for homogeneous materials.

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A novel refined shear deformation theory for the buckling analysis of thick isotropic plates

  • Fellah, M.;Draiche, Kada;Houar, Mohammed Sid Ahmed;Tounsi, Abdelouahed;Saeed, Tareq;Alhodaly, Mohammed Sh.;Benguediab, Mohamed
    • Structural Engineering and Mechanics
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    • 제69권3호
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    • pp.335-345
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    • 2019
  • In present study, a novel refined hyperbolic shear deformation theory is proposed for the buckling analysis of thick isotropic plates. The new displacement field is constructed with only two unknowns, as against three or more in other higher order shear deformation theories. However, the hyperbolic sine function is assigned according to the shearing stress distribution across the plate thickness, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using any shear correction factors. The equations of motion associated with the present theory are obtained using the principle of virtual work. The analytical solution of the buckling of simply supported plates subjected to uniaxial and biaxial loading conditions was obtained using the Navier method. The critical buckling load results for thick isotropic square plates are compared with various available results in the literature given by other theories. From the present analysis, it can be concluded that the proposed theory is accurate and efficient in predicting the buckling response of isotropic plates.

Ko-압밀점토지반속 주응력회전 현상의 모형화 (Modelling of Principal Stress Rotation in Ko Consolidated Clay)

  • 홍원표;김태형;이재호
    • 한국지반공학회지:지반
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    • 제13권1호
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    • pp.35-46
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    • 1997
  • 실제지반에 하중이 가하여 질 경우 발생되는 주응력회전시의 지반거동을 해석하기 위하여 등 방단일경화구성모델이 적용되었다. 이 모델에 의한 해석결과는 Ko압밀점토의 중공 원통형 공시체에 여러가지 응력경로를 대상으로 실시된 일련의 비틀림전단시험에 의한 시험치와 좋은 일치를 보이고 있다. 결국 주응력회전시의 지반거동은 등방압축 및 통상적인 압밀비배수 삼축압축시험으로 얻을 수 있는 간단한 정보만을 활용한 이 모델로 예측될 수 있음을 알았다. 비틀림전단시험결과와 해석결과 모두에서 등방탄소성 지반거동을 최초재하 (primary loading)단계 동안에 관찰할 수 있었다. 그러나, Ko압밀응력의 등방항복면내에서 감하나 수재하와 같은 응력 반전을 실시할 경우 최대주변형률증분 방향의 해석치는 시험치와 일치하지 않았다. 이는 응력반전시의 지반거동을 해석하기 위하여는 등방경화모델 (isotropic hardening model)보다 는 이동경화모델(kinematic hardening model)이 개발되어야함을 의미한다. 또한 본 연구에서는 일공간에서 변형률증분벡터의 시험치가 관련흐름법칙 및 비관련흐름법칙에 의한 해석법과 비교되었다.

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Stability analysis of transversely isotropic laminated Mindlin plates with piezoelectric layers using a Levy-type solution

  • Ghasemabadian, M.A.;Saidi, A.R.
    • Structural Engineering and Mechanics
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    • 제62권6호
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    • pp.675-693
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    • 2017
  • In this paper, based on the first-order shear deformation plate theory, buckling analysis of piezoelectric coupled transversely isotropic rectangular plates is investigated. By assuming the transverse distribution of electric potential to be a combination of a parabolic and a linear function of thickness coordinate, the equilibrium equations for buckling analysis of plate with surface bonded piezoelectric layers are established. The Maxwell's equation and all boundary conditions including the conditions on the top and bottom surfaces of the plate for closed and open circuited are satisfied. The analytical solution is obtained for Levy type of boundary conditions. The accurate buckling load of laminated plate is presented for both open and closed circuit conditions. From the numerical results it is found that, the critical buckling load for open circuit is more than that of closed circuit in all boundary and loading conditions. Furthermore, the critical buckling loads and the buckling mode number increase by increasing the thickness of piezoelectric layers for both open and closed circuit conditions.

Free vibration of symmetrically laminated quasi-isotropic super-elliptical thin plates

  • Altunsaray, Erkin
    • Steel and Composite Structures
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    • 제29권4호
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    • pp.493-508
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    • 2018
  • Free vibration analysis of super-elliptical composite thin plates was investigated. Plate is formed by symmetrical quasi-isotropic laminates. Rayleigh-Ritz method was used for parametric analysis based on the governing differential equations of Classical Laminated Plate Theory (CLPT). Simply supported and clamped boundary conditions at the periphery of plates were considered. Parametric study was performed for the effect of different lamination type, aspect ratio, thickness and super-elliptical power on natural frequencies. Convergence study and validation of isotropic case were achieved. A number of design parameters like different dimensions, structure systems, panel sizes, panel thicknesses, lamination sequences, boundary conditions and loading conditions must be considered in the production of composite ships. The number of possible combinations practically may be so high that a parametric study should be carried out in order to determine the optimum design parameters rapidly during the preliminary design stage. The use of Rayleigh-Ritz method could make this parametric study possible. Thereby it might be decreasing the consumption of time, material and labor. Certain results for some different super-elliptical powers presented in tabulated form in Appendix for designers as well.