• 제목/요약/키워드: Anisotropic analysis

검색결과 612건 처리시간 0.028초

A Study on the Effective Hydraulic Conductivity of an Anisotropic Porous Medium

  • Seong, Kwanjae
    • Journal of Mechanical Science and Technology
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    • 제16권7호
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    • pp.959-965
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    • 2002
  • Effective hydraulic conductivity of a statistically anisotropic heterogeneous medium is obtained for steady two-dimensional flows employing stochastic analysis. Flow equations are solved up to second order and the effective conductivity is obtained in a semi-analytic form depending only on the spatial correlation function and the anisotropy ratio of the hydraulic conductivity field, hence becoming a true intrinsic property independent of the flow field. Results are obtained using a statistically anisotropic Gaussian correlation function where the anisotropy is defined as the ratio of integral scales normal and parallel to the mean flow direction. Second order results indicate that the effective conductivity of an anisotropic medium is greater than that of an isotropic one when the anisotropy ratio is less than one and vice versa. It is also found that the effective conductivity has upper and lower bounds of the arithmetic and the harmonic mean conductivities.

스펙트럴 영역에서 비등방성 기판위의 마이크로스트립 선로 해석 (Analysis of Microstrip Line on Anisotropic Substrate in the Spectral Domain)

  • 이승엽;이영훈;박승균;박한규
    • 한국통신학회논문지
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    • 제21권1호
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    • pp.206-213
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    • 1996
  • The spectral-domain methos has been applied to an analysis of a open microstrip line on a dielectrically biaxial anisotropic substrate which takes into account both weak and tight anisotropy effect, which are very important in high-requency applications such as optical modulator, MMIC, etc.. Numerical results of propagation characteristics are validated against the data previously published for special dielectrically weak anisotropic cases(sapphire, Epsilam-10) and New data are calculated for dielectrically tight anisotropic case(LiNb $O_{3}$). Data are for these anisotropic substrates presented to illustrate the effect of three different orientations of the principle dielectric axes. It can be derived from the calculated data in this paper that component of dielectric tensor(.epsilon.$_{vv}$ ) in y-axis which is normal to microstrip-laid plane is important factor in propagation characteristics.

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축대칭 선회난류의 수치해석에 의한 비등방 k - ${\epsilon}$ 난류모델의 評價 (Evaluation of the Anisotropic k - ${\epsilon}$ Turbulence Model by the Numerical Analysis of Axisymmetric Swirling Turbulent Flow)

  • 이연원
    • Journal of Advanced Marine Engineering and Technology
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    • 제20권5호
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    • pp.39-44
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    • 1996
  • To overcome weak poinks of the standard k-${\varepsilon}$ turbulence model when applied to complex turbulent flows, various modified models were proposed. But their effects are confined to special flow fields. They have still some problems. Recently, an anisotropic k-${\varepsilon}$ turbulence model was also proposed to solve the drawback of the standard k-${\varepsilon}$ turbulence model. This study is concentrated on the evaluation of the anisotropic k-${\varepsilon}$ turbulence model by the analysis of axisymmetric swirling turbulent flow. Results show that the anisotropic k-${\varepsilon}$ turbulence model has scarecely the fundamentally physical mechanism of predicting the swirling structure of flow.

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개선된 회귀착점 방법을 이용한 이방성 적층구조물의 소성해석 (Analysis of Anisotropic Plasticity of Additively Manufactured Structure using Modified Return Mapping Method)

  • 양승용;진두한;김정한
    • 한국분말재료학회지
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    • 제29권4호
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    • pp.303-308
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    • 2022
  • The plastic deformation behavior of additively manufactured anisotropic structures are analyzed using the finite element method (FEM). Hill's quadratic anisotropic yield function is used, and a modified return-mapping method based on dual potential is presented. The plane stress biaxial loading condition is considered to investigate the number of iterations required for the convergence of the Newton-Raphson method during plastic deformation analysis. In this study, incompressible plastic deformation is considered, and the associated flow rule is assumed. The modified return-mapping method is implemented using the ABAQUS UMAT subroutine and effective in reducing the number of iterations in the Newton-Raphson method. The anisotropic tensile behavior is computed using the 3-dimensional FEM for two tensile specimens manufactured along orthogonal additive directions.

혼합 수치해석 방법을 이용한 무한고체의 탄성해석 (Elastic Analysis of Unbounded Solids Using a Mixed Numerical Method)

  • 이정기;허강일
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.341-348
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    • 2001
  • A Mixed Volume and Boundary Integral Equation Method is applied for the effective analysis of plane elastostatic problems in unbounded solids containing general anisotropic inclusions and voids or isotropic inclusions. It should be noted that this newly developed numerical method does not require the Green's function for anisotropic inclusions to solve this class of problems since only Green's function for the unbounded isotropic matrix is involved in their formulation for the analysis. This new method can also be applied to general two-dimensional elastodynamic and elastostatic problems with arbitrary shapes and number of anisotropic inclusions and voids or isotropic inclusions. Through the analysis of plane elastostatic problems in unbounded isotropic matrix with orthotropic inclusions and voids or isotropic inclusions, it will be established that this new method is very accurate and effective for solving plane elastic problems in unbounded solids containing general anisotropic inclusions and voids or isotropic inclusions.

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이방성 함유체를 포함하는 무한고체의 탄성해석 (Elastic Analysis of Unbounded Solids with Anisotropic Inclusions)

  • 최성준;라원석;이정기
    • 대한기계학회논문집A
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    • 제23권11호
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    • pp.1993-2006
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    • 1999
  • A Volume Integral Equation Method (VIEM) is applied for the effective analysis of elastic wave scattering problems and plane elastostatic problems in unbounded solids containing general anisotropic inclusions. It should be noted that this newly developed numerical method does not require the Green's function for anisotropic inclusions to solve this class of problems since only Green's function for the unbounded isotropic matrix is involved in their formulation for the analysis. This new method can also be applied to general two-dimensional elastodynamic and elastostatic problems with arbitrary shapes and number of anisotropic inclusions and voids. Through the analysis of plane elastodynamic and elastostatic problems in unbounded isotropic matrix with orthotropic inclusions and voids, it will be established that this new method is very accurate and effective for solving plane elastic problems in unbounded solids containing general anisotropic inclusions and voids.

On the theory of curved anisotropic plate

  • Chiang, Yih-Cherng
    • Structural Engineering and Mechanics
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    • 제22권6호
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    • pp.741-759
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    • 2006
  • A general theory which describes the elastic response of a curved anisotropic plate subjected to stretching and bending will be developed by considering the nonlinear effect that reflecting the non-flat geometry of the structure. By applying a newly derived $6{\times}6$ matrix constitutive relation between force resultants, moment resultants, mid-plane strains and deformed curvatures, the governing differential equations for a curved anisotropic plate is developed in the usual manner, namely, by consideration of the constitutive relation and equilibrium equations. Solutions are obtained for simply-supported boundary conditions and compared to corresponding solutions that neglecting the nonlinear effect in the analysis. The comparisons indicate that the nonlinear terms in the equations that caused by the curvature of the structure is crucial for the curved plate analysis. Under certain curved plate geometries the unreasonable results will be induced by neglecting the nonlinear effect in the analysis.

비등방성 원뿔형 쉘의 안정성에 관한 연구 (A Study on the Stability of Anisotropic Circular Conical Shells)

  • 박원태;손병직
    • 한국안전학회지
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    • 제16권4호
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    • pp.128-133
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    • 2001
  • In this paper, stability analysis is carried out far the out of plane behaviors under compressive loads to the conical direction. It is not easy to obtain the analytic solutions about the stability analysis of anisotropic conical shells consisted of composite materials. For solving this problems, this paper used the finite difference method which is one of the numerical methods. The characteristics of the buckling behaviors of anisotropic laminated composite conical shells may be different according to a variety of causes, that is, the change of fiber angle, material arrangement, radius ratio, shape ratio and so on. The objective of this study is to analyze buckling behaviors of circular conical shells with shear deformation effects and to prove the advantage of composite materials.

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Stability charts and reinforcement with piles in 3D nonhomogeneous and anisotropic soil slope

  • Xu, Jingshu;Li, Yongxin;Yang, Xiaoli
    • Geomechanics and Engineering
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    • 제14권1호
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    • pp.71-81
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    • 2018
  • Soils are mostly nonhomogeneous and anisotropic in nature. In this study, nonhomogeneity and anisotropy of soil are taken into consideration by assuming that the cohesion increases with depth linearly and also varies with respect to direction at a particular point. A three-dimensional rotational failure mechanism is adopted, and then a three-dimensional stability analysis of slope is carried out with the failure surface in the shape of a curvilinear cone in virtue of the limit analysis method. A quasistatic approach is used to develop stability charts in nonhomogeneous and anisotropic soils. One can easily read the safety factors from the charts without the need for iterative procedures for safety factors calculation. The charts are of practical importance to prevent a plane failure in excavation slope whether it is physically constrained or not. Then the most suitable location of piles within the reinforced slope in nonhomogeneous and anisotropic soils is explored, as well as the interactions of nonhomogeneous and anisotropic coefficients on pile reinforcement effects. The results indicate that piles are more effective when they are located between the middle and the crest of the slope, and the nonhomogeneous coefficient as well as the anisotropic coefficient will not only influence the most suitable location for piles but also affect the calculated safety factor of existing reinforced slope. In addition, the two coefficients will interact with each other on the effect on slope reinforcement.