• Title/Summary/Keyword: 탄성 구성방정식

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A Constitutive Model for Polymer-Bonded Explosive Simulants Considering Stress Softening and Residual Strain (응력연화와 잔류변형을 고려한 복합화약 시뮬런트의 구성방정식연구)

  • Yeom, KeeSun;Huh, Hoon;Park, Jungsu
    • Journal of the Korea Institute of Military Science and Technology
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    • v.17 no.6
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    • pp.844-852
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    • 2014
  • PBX simulant is known to exhibit highly nonlinear behaviors of deformation such as the stress softening, hysteresis under cyclic loading, residual strain after unloading, and aging. This paper proposes a new pseudo-elastic model for PBX simulant considering stress softening and residual strain. Uniaxial loading and unloading tests at quasi-static states were carried out in order to obtain the mechanical properties of the PBX simulants. And then the Dorfmann-Ogden model is modified to make it consistent with the test result of PBX simulants. Prediction with the new model shows a good correspondence to the experimental data demonstrating that the model properly describes stress softening and residual strain of PBX simulants.

Implicit Numerical Integration of Two-surface Plasticity Model for Coarse-grained Soils (Implicit 수치적분 방법을 이용한 조립토에 관한 구성방정식의 수행)

  • Choi, Chang-Ho
    • Journal of the Korean Geotechnical Society
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    • v.22 no.9
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    • pp.45-59
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    • 2006
  • The successful performance of any numerical geotechnical simulation depends on the accuracy and efficiency of the numerical implementation of constitutive model used to simulate the stress-strain (constitutive) response of the soil. The corner stone of the numerical implementation of constitutive models is the numerical integration of the incremental form of soil-plasticity constitutive equations over a discrete sequence of time steps. In this paper a well known two-surface soil plasticity model is implemented using a generalized implicit return mapping algorithm to arbitrary convex yield surfaces referred to as the Closest-Point-Projection method (CPPM). The two-surface model describes the nonlinear behavior of coarse-grained materials by incorporating a bounding surface concept together with isotropic and kinematic hardening as well as fabric formulation to account for the effect of fabric formation on the unloading response. In the course of investigating the performance of the CPPM integration method, it is proven that the algorithm is an accurate, robust, and efficient integration technique useful in finite element contexts. It is also shown that the algorithm produces a consistent tangent operator $\frac{d\sigma}{d\varepsilon}$ during the iterative process with quadratic convergence rate of the global iteration process.

A Study of Flow Induced Noise for Multilevered Cylinder due to Turbulent Boundary Layer (난류경계층에 의한 다층재질 원통형 실린더의 유체소음 해석 연구)

  • 신구균;홍진숙;이헌곤
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1994.10a
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    • pp.271-276
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    • 1994
  • 본 연구에서는 외부 호스, 내부 충진유 및 탄성체 핵으로 구성된 다층 재질의 무한히 긴 원통형 실린더가 자유 흐름 중에 있을 때, 유체 유동에 의한 난류 경계층내 벽면 압력 변동(wall pressure fluctuation)이 내부 탄성체 핵의 표면에 미치는 영향을 분석하기 위하여 난류 경계층에 의한 다층 재질의 실린더 내부 압력 변동 해석 이론을 정립하였다. 본 해석 이론에서는 파동 방정식을 이용하여 외부 호스 벽면 압력에 대한 전달 함수를 도출하고, 난류 경계층내 벽면 압력 변동은 Corcos Model을 기초로 하여 Strawderman이 제안한 실험식을 사용하여 추정하였다. 또 이를 바탕으로 자유 흐름 속도 변화등에 따른 실린더 내부 압력변도의 변화를 분석하여 보았다.

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Inelastic Analysis of Anisotropic Materials Using the Viscoplastic Model (점소성모델을 이용한 이방성 재료의 비탄성 해석)

  • 신찬호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.5
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    • pp.1657-1664
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    • 1991
  • 본 연구에서는 재료의 이방성을 고려한 점소성 모델을 제시하였다. 공학적 인 견지에서 볼 때 이방성 재료의 기계적 거동을 표한하기 위해서는 단순화 이론(si- mplified theory)의 개발이 필요하게 되었으며 이에따라 Betten은 등방성 소성 포텐셜 (isotropic plastic potential)에서 응력텐서를 재료의 이방성을 포함하는 변환 응력 텐서(mapped stress tensor)로 대체함으로써 이방성을 고려하였다. 그러므로 실제 이방성 재료의 비탄성 거동은 가상의 등방성 상태로 치환되며 여기에 소성 포텐셜 이 론을 적용하게 된다.

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.

Rock Physics Modeling: Report and a Case Study (암석 물리 모델링: 기술 보고 및 적용 사례)

  • Lee, Gwang H.
    • Economic and Environmental Geology
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    • v.49 no.3
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    • pp.225-242
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    • 2016
  • Rock physics serves as a useful tool for seismic reservoir characterization and monitoring by providing quantitative relationships between rock properties and seismic data. Rock physics models can predict effective moduli for reservoirs with different mineral components and pore fluids from well-log data. The distribution of reservoirs and fluids for the entire seismic volume can also be estimated from rock physics models. The first part of this report discusses the Voigt, Reuss, and Hashin-Shtrikman bounds for effective elastic moduli and the Gassmann fluid substitution. The second part reviews various contact models for moderate- to high-porosity sands. In the third part, constant-cement model, known to work well for the sand that gradually loses porosity with deteriorating sorting, was applied to the well-log data from an oil field in the North Sea. Lastly, the rock physics template constructed from the constant-cement model and the results from the prestack inversion of 2D seismic data were combined to predict the lithology and fluid types for the sand reservoir of this oil field.

p-Version Elasto-Plastic Finite Element Analysis by Incremental Theory of Plasticity (증분소성이론에 의한 p-Version 탄소성 유한요소해석)

  • 정우성;홍종현;우광성
    • Computational Structural Engineering
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    • v.10 no.4
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    • pp.217-228
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    • 1997
  • The high precision analysis by the p-version of the finite element method are fairly well established as highly efficient method for linear elastic problems, especially in the presence of stress singularity. It has been noted that the merits of the p-version are accuracy, modeling simplicity, robustness, and savings in user's and CPU time. However, little has been done to exploit their benefits in elasto-plastic analysis. In this paper, the p-version finite element model is proposed for the materially nonlinear analysis that is based on the incremental theory of plasticity using the constitutive equation for work-hardening materials, and the associated flow rule. To obtain the solution of nonlinear equation, the Newton-Raphson method and initial stiffness method, etc are used. Several numerical examples are tested with the help of the square plates with cutout, the thick-walled cylinder under internal pressure, and the circular plate with uniformly distributed load. Those results are compared with the theoretical solutions and the numerical solutions of ADINA

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Structural Analysis of Floating Offshore Wind Turbine Tower Based on Flexible Multibody Dynamics (탄성 다물체계 동역학을 기반으로 한 부유식 해상 풍력 발전기 타워의 구조 해석)

  • Park, Kwang-Phil;Cha, Ju-Hwan;Ku, Namkug;Jo, A-Ra;Lee, Kyu-Yeul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.12
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    • pp.1489-1495
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    • 2012
  • In this study, we perform the structural analysis of a floating offshore wind turbine tower by considering the dynamic response of the floating platform. A multibody system consisting of three blades, a hub, a nacelle, the platform, and the tower is used to model the floating wind turbine. The blades and the tower are modeled as flexible bodies using three-dimensional beam elements. The aerodynamic force on the blades is calculated by the Blade Element Momentum (BEM) theory with hub rotation. The hydrostatic, hydrodynamic, and mooring forces are considered for the platform. The structural dynamic responses of the tower are simulated by numerically solving the equations of motion. From the simulation results, the time history of the internal forces at the nodes, such as the bending moment and stress, are obtained. In conclusion, the internal forces are compared with those obtained from static analysis to assess the effects of wave loads on the structural stability of the tower.

連續體力學의 基礎的 槪要(II)

  • 박진무
    • Journal of the KSME
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    • v.26 no.3
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    • pp.214-218
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    • 1986
  • 제 4절에서 얻은 연속체 일반의 장방정식들을 제 5절에서와 같이 각종 물질의 구성방정식으로 보충하므로써, 탄성이론, Newton 유체역학, 비 Newton 유체역학, 소성이론, 점탄성이론, 비균질 체역학, 연속체 일반의 열역학 ...등의 기본적 이론체계를 구성할 수 있다. 또 합당한 경계조건과 함께 구체적 해를 얻는 다양한 연구로 이어진다. 이에 대한 독자의 편의를 위하여 몇 개의 문 헌을 뒤에 나열한다. (8,15,16,17,18,19) 공학의 한 분야에 전문적인 지식을 얻기 위해서는 공학 일반(engineering science)에 대한 선명한 이해가 필수적이며 이를 위해 연속체이론이 꾸준히 연구되고 있다. 그러나 이와 같은 방대한 체계를 $E_{3}$ 해석학의 틀 속에서 선명하게 파악 하려하는 것은 어려운 일이다. 결국 대역적해석학(global analysis)의 응용(3,5,20,21,22)이 불가 피하지 않나 생각된다. 이 방향의 연구가 선진국에서도 아직 소수의 학자들에 국한된 실정이나, 우리 공학의 획기적 발전을 위하여 독자들의 노력이 계속되었으면 한다.

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Force-based Coupling of Peridynamics and Classical Elasticity Models (페리다이나믹과 탄성체 모델의 연성기법 개발)

  • Ha, Youn Doh;Byun, Taeuk;Cho, Seonho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.27 no.2
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    • pp.87-94
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    • 2014
  • In solid mechanics, the peridynamics theory has provided a suitable framework for material failure and damage propagation simulation. Peridynamics is computationally expensive since it is required to solve enormous nonlocal interactions based upon integro-differential equations. Thus, multiscale coupling methods with other local models are of interest for efficient and accurate implementations of peridynamics. In this study, peridynamic models are restricted to regions where discontinuities or stress concentrations are present. In the domains characterized by smooth displacements, classical local models can be employed. We introduce a recently developed blending scheme to concurrently couple bond-based peridynamic models and the Navier equation of classical elasticity. We demonstrate numerically that the proposed blended model is suitable for point loads and static fracture, suggesting an alternative framework for cases where peridynamic models are too expensive, while classical local models are not accurate enough.