• Title/Summary/Keyword: 직교대칭성

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The Calculation of Stress Intensity Factors in the Orthotropic Elastic Plate with the Cracked Circular-hole using a Contour Integral Method (경로적분법에 의한 원공크랙이 있는 직교이방성 탄성평판의 응력 확대계수 계산)

  • Kim, Jin-Woo
    • Journal of the Korea Institute of Military Science and Technology
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    • v.8 no.4 s.23
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    • pp.136-145
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    • 2005
  • 특이응력해석을 위한 일반화된 가역상반일 경계적분식이 섬유강화복합재를 모형화한 직교 이방성 크랙평판의 수치해를 위하여 발전시켰다. 이 적분방정식은 평판경계에서의 탄성변위와 트랙션의 변수로 구성된 경계적분식의 형태로 하중이 없다는 두 크랙면의 경계조건과 유한의 탄성변형에너지의 개념에서 경계적분식에 필요한 특성해를 규정하고 대응되는 보조해를 계산하였다. 대칭모우드 I형의 중앙원공크랙평판 및 복합모우드형의 반원편측크랙 일단고정평판의 응력확대계수가 임의의 섬유방향각에 따라서 계산되었다.

Study of anisoptopy of sheet metals (압연강판의 이방성에 관한 연구)

  • 인정제
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1999.03b
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    • pp.153.1-156
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    • 1999
  • Based upon the experimental data from multi-stage tensile loading at angles to the rolling direction of steel sheets, anisotropic hardening rules are proposed. Experiments show that orthotropic anisotropy is maintained and the orientations of orthotropy axes are changed during tensile loading. A phenomenological model is proposed which includes the rotations of orthotropy axes, work hardening and kinematic hardening. Using the model, uniaxial tensile stress, R-value and tensile necking strain are predicted and compared with the experimental data.

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Evolution of Orthotropic Anisotropy by Simple Shear Deformation (전단변형에 의한 직교이방성의 변화)

  • 김권희
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.413-423
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    • 1991
  • Multiaxial loading by combinations of tension-torsion-internal pressure have been applied to the thins-walled tubular specimens prepared from cold drawn tubes of SAE 1020 steel. Prior to the multiaxial loading, each specimen has been twisted to different shear strains. Uniaxial tensile yield stresses measured at different angles to the tube axis clearly show that the initial orthotropic symmetry is maintained during twisting. The orthotropy axes are observed to rotate with shear strains. The plane stress yield locus measured for each twisted specimens show that yield surface shape does not remain similar during twisting and thus anisotropic work hardening is not a function of only plastic work.

The Closed-form Expressions of Magnetic Gradient Tensor due to a Circular Cylinder (원통형 이상체에 의한 자력 변화율 텐서 반응식)

  • Rim, Hyoungrea
    • Geophysics and Geophysical Exploration
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    • v.23 no.2
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    • pp.67-71
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    • 2020
  • In this study, we derive closed-form expressions of magnetic gradient tensor due to a circular cylinder. Because the expression for magnetic field has been derived in a previously conducted study, expressions are developed for the magnetic gradient tensor based on the derivatives of the expressions of magnetic field with respect to the variables of the Cartesian coordinates. Furthermore, expressions are derived for the magnetic gradient tensor based on the relations between the Cartesian and cylindrical coordinates in the derivative because the expression for magnetic field contains variables of cylindrical coordinates owing to its axial symmetry.

Mode III Stress Intensity Factors for Orthotropic Layered Material with Internal Center Crack Under Uniform Anti-Plane Shear Loading (균일한 면외 전단하중을 받는 직교 이방성 적층재 내부 중앙균열의 모드 III 응력세기계수)

  • Lee, Kang-Yong;Joo, Sung-Chul;Kim, Sung-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.23 no.6 s.165
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    • pp.961-967
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    • 1999
  • A model is constructed to evaluate the mode III stress intensity factor(SIF) for orthotropic three-layered material with a center crack subjected to uniform anti-plane shear loading. A mixed boundary value problem is formulated by Fourier integral transform method and a Fredholm integral equation of the second kind is derived. The integral equation is numerically analyzed to evaluate the effects of the ratio of shear modulus, strength of each layer and crack length to layer thickness on the stress intensity factor.

Sufficient Conditions for Fully Orthotropic Stacking Sequences (완전 직교이방성 적층순서에 대한 충분조건)

  • Lee, Jong-Won;Kim, Jin-Won
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.28-32
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    • 2007
  • Sufficient Conditions are proposed herein for analytically obtaining fully orthotropic (A16=A26=0, Bij=0, D16=D26=0) laminate stacking sequences together with a brief literature survey. A number of specially chosen anti-symmetric balanced stacking sequences are analytically studied, in which all coupling stiffnesses including B16 and B26 are identically zero. Those specially chosen anti-symmetric balanced stacking sequences are then arranged symmetrically with respect to the laminate mid-plane to obtain a number of symmetric stacking balanced stacking sequences of which the elastic stiffnesses are fully orthotropic.

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Efficient s-step GMRES Algorithm on a Message Passing Parallel System (Message Passing Parallel System에서 효과적인 s-step GMRES 알고리즘)

  • 김선경
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.11a
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    • pp.484-488
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    • 2000
  • 병렬 컴퓨터를 사용하는 경우 하드웨어만으로 모든 것이 해결되지 않으며 병렬처리 기법의 도입이 불가피하다. 효과를 극대화하기 위하여서는 각 병렬 컴퓨터의 하드웨어적인 특징을 극대화할 수 있는 병렬 알고리즘과 병렬 프로그램 등 소프트웨어 개발이 필수적이다. GMRES(Generalized Minimal residual) 방법은 아주 큰 대칭 또는 비대칭 선형시스템의 해를 구하는 반복법 중의 하나로 일반적으로 많이 사용되고 있다. 서로 직교인 벡터를 하나씩 구하는 대신에 선형인 s개의 벡터를 구하고 각 그룹간에는 직교가 되게하는 s-step GMRES 알고리즘은 병렬적 성질을 더 많이 가지고 있다. 이 병렬 알고리즘의 전반부는 이미 개발된 s-step Arnoldi 알고리즘을 이용할 수 있다. s-step GMRES 알고리즘은 message passing 병렬 시스템에서 모든 프로세서들 사이의 자료 교환 시간을 줄임으로써 기존의 GMRES 방법에 비해 훨씬 더 병렬성을 증가시킨다. 본 논문에서는 초병렬 시스템(MPP)인 Cray T3E에서 많은 프로세서를 이용할 경우 개발된 s-step 알고리즘이 기존의 알고리즘에 비하여 얼마나 더 효과적으로 빨리 수행될 수 있는지 분석한다.

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The Computation of Stress Intensity Factors in Fiberreinforced Composites using a Contour Integral Method (경로적분법에 의한 섬유강화복합재의 응력확대계수 계산)

  • 김진우;장흥석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.1
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    • pp.109-118
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    • 1985
  • 특이응력해석을 위한 일반화된 가역상반일 경계분식이 섬유강화복합재를 모형화한 직교 이방성 크랙평판의 수치해를 위하여 발전시켰다. 이 적분방정식은 평판경계에서의 탄성변위와 트랙션의 변수로 구성된 경계분식의 형태로 하중이 없다는 두 크랙면의 경계조건과 유한의 탄성변형에너지 의 개념에서 경계적 분식에 필요한 특성해를 규정하고 대응되는 보조해를 계산하였다. 직교이방 도를 달리한 중앙크랙평판의 응력확대계수를 계산하여 기존해와 비교하였다. 또한 대칭모우드 I 형의 양측크랙평판 및 복합모우드형 편측크랙 일단고정 평판의 응력확대계수가 임의의 섬유방향 각에 따라서 계산되었다.

The Closed-form Expressions of Magnetic Field Due to a Right Cylinder (원통형 이상체에 의한 자력 반응식)

  • Rim, Hyoungrea;Eom, Jooyoung
    • Geophysics and Geophysical Exploration
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    • v.23 no.1
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    • pp.50-54
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    • 2020
  • Herein, the closed-form expressions of the magnetic field due to an axially symmetric body such as a right cylinder, are derived. The magnetic field due to a right cylinder is converted from the gravity gradient tensor using Poisson's relation; the magnetic field induced by a constant magnetization can be obtained from the gravity gradient tensor with a constant density. Because of the axial symmetry of the cylinder, the expressions of gravity gradient tensor are derived in cylindrical coordinate and then transformed into Cartesian coordinates for the three components of the magnetic field using an arbitrary magnetization direction.

Half-dome Thermo-forming Tests of Thermoplastic Glass Fiber/PP Composites and FEM Simulations Based on Non-orthogonal Constitutive Models (열가소성 유리섬유/PP 복합재의 반구돔 열성형 평가 및 비직교 구성방정식을 이용한 FEM 수치해석)

  • Lee, Wonoh
    • Composites Research
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    • v.29 no.5
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    • pp.236-242
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    • 2016
  • In this work, tensile and in-plane shear tests for thermoplastic glass fiber/polypropylene composites were performed at a thermo-forming temperature and their properties were characterized and mathematically expressed by using the non-orthogonal constitutive model. As for the thermo-forming test, half-dome experiments were carried out by varying the usage of a releasing agent and the weight of holders. As results, the optimum final shape having well-aligned symmetry and no wrinkle formation was obtained when the releasing agent was used, and it was found that the careful control of a holding force is crucial to manufacture the healthy product. Furthermore, FEM simulations based on the non-orthogonal model showed similar final shapes and tendency of wrinkle formation with experimental results, and confirmed that wrinkles increase with less holding force and higher punch force is required under high frictional condition.