• Title/Summary/Keyword: 변형률 요소

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Behavior of Orthotropic Composite Plate Due to Random Poisson's Ratio (직교이방성 복합적층구조의 거동: 포아송비의 임의성에 의한 영향)

  • Noh, Hyuk-Chun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.6
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    • pp.627-637
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    • 2009
  • Composite materials have been employed in the various engineering applications due to high mechanical performances including high strength-weight ratio and high degree of free formability. Due to complex manufacturing process, however, it can have intrinsic randomness in the material constants which affect the deterministic behavior of the composite structures. In this study, we suggest a formulation for stochastic finite element analysis considering the spatial randomness of Poisson's ratio. Considering the reciprocal relation between elastic moduli and Poisson's ratios in the two mutually orthogonal axes, one of two values of Poisson's ratio can be expressed in terms of the other. Using this, the relation between stress resultants and strains is derived in the ascending order of power of the stochastic field function, which can be directly used in the formulation to obtain the coefficient of variation of responses. The adequacy of the proposed scheme is demonstrated by comparison with the results of Monte Carlo analysis.

Design and Analysis of Section-divided Circular Composite Wing Spar (단면분할 원통형 복합재료 날개 보 설계 및 해석)

  • Kim, Ki-Hoon;Koo, Kyo-Nam
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.47 no.10
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    • pp.687-694
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    • 2019
  • A circular composite spar in the wing of ultra-light aircraft is subjected to both bending moment and transverse shear loads. However, the beam being used in the aircraft may be inefficient because the design would not take into account the characteristics of the circular tube that supports the bending moment in top and bottom arc parts and the transverse load in left and right ones. Therefore, it is necessary to efficiently fabricate the circular tube beam by properly selecting the stacking sequences or the laminated composite structure. In order to increase both bending and transverse shear strengths of the beams, in this study, a cross-section of circular tube is divided into four arcs: top, bottom, left and right ones. The commercial program, MSC/NASTRAN is used to calculate vertical displacement and the normal and shear strains with variation of parameters such as division angle of arc and fiber orientation. Based on the results, the effective parameters for the new circular composite beam are presented to increase its bending and shear strengths.

Finite Element Based Multi-Scale Ductile Failure Simulation of Full-Scale Pipes with a Circumferential Crack in a Low Carbon Steel (유한요소기반 다중스케일 연성파손모사 기법을 이용한 원주방향 균열이 존재하는 탄소강 실배관의 파손예측 및 검증)

  • Han, Jae-Jun;Bae, Kyung-Dong;Kim, Yun-Jae;Kim, Jong-Hyun;Kim, Nak-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.7
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    • pp.727-734
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    • 2014
  • This paper describes multi-scale based ductile fracture simulation using finite element (FE) damage analysis. The maximum and crack initiation loads of cracked components were predicted using proposed virtual testing method. To apply the local approach criteria for ductile fracture, stress-modified fracture strain model was adopted as the damage criteria with modified calibration technique that only requires tensile and fracture toughness test data. Element-size-dependent critical damage model is also introduced to apply the proposed ductile fracture simulation to large-scale components. The results of the simulation were compared with those of the tests on SA333 Gr. 6 full-scale pipes at $288^{\circ}C$, performed by the Battelle Memorial Institute.

Multi-scale simulation of drying process for porous materials using molecular dynamics (part 1 : homogenization method) (분자동역학을 이용한 다공성 물질 건조공정 멀티스케일 시뮬레이션(1부 : 균질화법 해석))

  • 오진원;백성민;금영탁
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.14 no.3
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    • pp.115-122
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    • 2004
  • When porous materials are dried, the particles flocculate into fish-net structure in gel phase. In order to exactly analyze the stress distribution of porous materials during drying process, the elastic tensor of microscopic gel structures has to be predicted considering pore shapes as well as porosities of porous materials. The elastic characteristics of porous materials associated with porosities were predicted analyzing microscopic gel structures with circular and cross pores via homogenization method and the drying processes of the electric porous ceramic insulator were simulated using finite element method (FEM). Comparing analysis results between consideration and negligence of pores, the deformed shape and distributions of temperature and moisture were similar but the residual stress was significantly different.

Undrained Analysis of Soft Clays Using an Anisotropic Hardening Constitutive Model: I. Constitutive Model (비등방경화 구성모델을 적용한 연약 지반의 비배수 거동 해석: I. 구성모델)

  • 오세붕
    • Journal of the Korean Geotechnical Society
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    • v.15 no.6
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    • pp.121-130
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    • 1999
  • The objective of this study is to perform finite element analyses(FEA) using the anisotropic hardening constitutive model on the basis of the total stress concept. An anisotropic hardening model was then developed to solve the problem and its mathematical formulations and experimental verifications were also described. In a companion paper, the constitutive equation will be formulated for accurate and efficient solutions of FEA, and coded into a nonlinear analysis program, and finally a field problem will be analyzed. The proposed model includes the failure criterion of a von Mises type and the anisotropic hardening rule based on the generalized isotropic hardening description, which can model the nonlinearity and the anisotropy of the stress-strain relationship. As a result this study could verty the experimental results for UU triaxial tests, CU triaxial tests for overconsolidated samples, and anisotropic loading tests with the rotation of principal stress axes for $K_0$consolidated samples.

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Fatigue Analysis of Reduction Gears Unit in Rolling Stock Considering Operating Characteristics (운행특성을 고려한 철도차량 감속기의 피로해석)

  • Kim, Chul-Su;Kang, Gil-Hyun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.12 no.3
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    • pp.1085-1090
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    • 2011
  • To assure the safety of rolling stock, it is important to perform the fatigue analysis of reduction gear unit in rolling stock considering a variation of velocity and traction motor capability. This paper presents fatigue analysis of the damage of reduction gear unit of railway vehicle under variable amplitude loading(VAL) based on quasi-static fatigue analysis using finite element model and linear Miner's rule. The VAL for the simulation was constructed from the tractive effort curve and train run curves of railway vehicle under commercial operation condition using MSC.ADAMS dynamic analysis. The finite element model for evaluating the carburizing effect on the gear surface was used for predicting the fatigue life of the middle gear based on strain-life based approach. The results showed that the frequent high starting torque due to a quick start as well as increasing numbers of stops at station would decrease the fatigue life of reduction gear unit.

Elasto-Plastic Anisotropic-Damage Model for Concrete (콘크리트의 탄-소성 이방성-손상 모델)

  • 이기성;송하원
    • Computational Structural Engineering
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    • v.9 no.1
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    • pp.65-76
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    • 1996
  • The initiation and growth of microcracks or microvoids inside concrete results in the progressive degradation of concrete. This damage processing along processing along with plastic deformation is main cause of nonlinear behavior of concrete. In this study, a continuum damage model of concrete is developed for the analysis of the nonlinear behavior of concrete due to damage and elasto-plastic deformation. Anisotropic damage tensor is used to describe the anisotropy of concrete and hypothesis of equivalent elastic energy is used to define the effective elastic tensor. The damage model including the damage evolution law and constitutive equation is derived with damage variable and damage surface which is defined by damage energy release rate by using the Helmholtz free energy and dissipation potential based on the thermodynamic principles. By adopting a typical plasticity model of concrete, plasticity of concrete is included to this model. Afinite element analysis program implemented with this model was developed and finite element analysis was performed for the analyses of concrete subjected to uniaxial and biaxial loadings. Comparison of the results of analysis with those of experiments and other models shows that the model successfully predicts the nonlinear behavior of concrete.

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Unified Constitutive Model for RC Planar Members Under Cyclic Load (주기하중을 받는 철근 콘크리트 면부재에 대한 통합구성모델)

  • 김재요;박홍근
    • Journal of the Korea Concrete Institute
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    • v.14 no.2
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    • pp.239-248
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    • 2002
  • A constitutive model unifying plasticity and crack damage mode)s was developed to address the cyclic behavior of reinforced concrete planar members. The stress of concrete in tension-compression was conceptually defined by the sum of the compressive stress developed by the strut-action of concrete and the tensile stresses developed by tensile cracking. The plasticity model with multiple failure criteria was used to describe the isotropic damage of compressive crushing affected by the anisotropic damage of tensile cracking. The concepts of the multiple fixed crack damage model and the plastic flow model of tensile cracking were used to describe the tensile stress-strain relationship of multi-directional cracks. This unified model can describe the behavioral characteristics of reinforced concrete in cyclic tension-compression conditions, i.e. multiple tensile crack orientations, progressively rotating crack damage, and compressive crushing of concrete. The proposed constitutive model was implemented to finite element analysis, and it was verified by comparison with existing experimental results from reinforced concrete shear panels and walls under cyclic load conditions.

Concrete Aging-Dependent Deflection Analysis of Flexural Composite Members Using Sectional Analysis Method (단면해석법을 이용한 합성형 휨 부재의 재령 종속적 처짐해석)

  • Sung Won-Jin;Kim Jeong-Hyeon;Lee Yong-Hak
    • Journal of the Korea Concrete Institute
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    • v.16 no.2 s.80
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    • pp.155-162
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    • 2004
  • An analytical method to predict the time dependent flexural behavior of composite girder is presented based on sectional analysis. The time dependent constitutive relation accounting for the early-age concrete properties including maturing of elastic modulus, creep and shrinkage is derived in an incremental format by the first order Taylor series expansion. The sectional analysis calculates the axial and curvature strains based on the force and moment equilibriums. The deflection curve of the girder approximated by the quadratic polynomial function is calculated by applying to the proper boundary conditions in the consecutive segments. Numerical applications are made for the 3-span double composite steel box girder which is a composite bridge girder filled with concrete at the bottom of the steel box in the negative moment region. The calculated results are compared with those by finite element analysis results. Close agreement is observed between the two approaches.

Finite element analysis of tissue differentiation process in fractured bones applied by a composite IM-rod based on a mechano-regulation theory (메카노 규제 이론에 기초한 복합재료 IM-rod가 적용된 골절부의 세포분화과정의 유한요소해석)

  • Son, Dae-Sung;Mehboob, Hassan;Chang, Seung-Hwan
    • Composites Research
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    • v.25 no.5
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    • pp.136-140
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    • 2012
  • This paper describes the bone healing process of fractured long bones such as a tibia applied by composite IM rods using finite element analysis. To simulated tissue differentiation process mechano-regulation theory with a deviatoric strain was implemented and a user's subroutine programmed by a Python code for an iterative calculation was used. To broadly find the appropriate rod modulus for healing bone fractures, composite IM rods were analyzed considering the stacking sequence. To compare mechanical stimulation at fracture gap, two kinds of initial loading conditions were applied. As a result, it was found that the initial loading condition was the most sensitive factor for the healing performance. In case a composite IM rod made of a plain weave carbon fiber/epoxy (WSN3k) had a stacking sequence of $[{\pm}45]_{nT}$, the healing efficiency was the most effective under a initial load of 10%BW.