• Title/Summary/Keyword: 재료 비선형성

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p-Version Finite Element Analysis of Composite Laminated Plates with Geometric and Material Nonlinearities (기하 및 재료비선형을 갖는 적층평판의 p-Version 유한요소해석)

  • 홍종현;박진환;우광성
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.3
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    • pp.491-499
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    • 2002
  • A p-version finite element model based on degenerate shell element is proposed tot the analysis of orthotropic laminated plates. In the nonlinear formulation of the model, the total Lagrangian formulation is adopted with large deflection and moderate rotation being accounted tot in the sense of yon Karman hypothesis. The material model is based on the Huber-Mises yield criterion and Prandtl-Reuss flow rule in accordance with the theory of strain hardening yield function, which is generalized lot anisotropic materials by introducing the parameters of anisotropy. The model is also based on extension of equivalent-single layer laminate theory(ESL theory) with shear deformation, leading to continuous shear strain at the interface of two layers. The integrals of Legendre polynomials are used for shape functions with p-level varying from 1 to 10. Gauss-Lobatto numerical quadrature is used to calculate the stresses at the nodal points instead of Gauss points. The validity of the proposed P-version finite element model is demonstrated through several comparative points of iew in terms of ultimate load, convergence characteristics, nonlinear effect, and shape of plastic tone.

Buckling Behavior of Transversely Isotropic Composite Shells Subjected to Axial Compression (축방향 압축 하중을 받는 횡등방성 복합재료 쉘의 좌굴거동)

  • 김성도;정진환
    • Computational Structural Engineering
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    • v.11 no.3
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    • pp.229-239
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    • 1998
  • 복합재료는 강도-무게비가 다른 재료들에 비해 훨씬 크기 때문에 부재의 좌굴문제가 대단히 중요하게 취급되며, 본 논문에서는 축방향 압축력을 받는 복합재료로 된 쉘 부재의 좌굴해석이 수행된다. 이 재료는 일반적으로 이방성 재료 특성을 나타내 보이나, 섬유들이 한 방향으로만 배치되어 있는 경우 섬유방향에 연직한 평면에서의 강도나 탄성계수들은 모두 일정한 횡 등방성 재료성질을 가진 것으로 간주할 수 있다. 9 절점 degenerate 쉘 유한요소를 사용한 선형안정해석, LUSAS 범용 프로그램을 이용한 구조해석, 그리고 고전적 쉘 좌굴방정식에 의한 해석들을 수행하였으며, 그 결과들을 서로 비교, 분석하였다. 고려된 등방성 재료나 횡 등방성 재료의 경우 모두, degenerate 유한요소해석으로 계산한 임계하중들은 고전적 이론해에 의한 결과들 보다 낮았으며, LUSAS 결과들과는 거의 같았다. 이는 degenerate 유한요소에 의한 선형안정해석 결과들이 안전측에 듬을 의미하며, 복합재료로 된 쉘 구조물의 좌굴해석에 degenerate 유한요소를 효율적으로 적용할 수 있음을 의미한다.

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Acoustic Nonlinear Characteristics of Ultrasonic Wave Reflected at Contact Interfaces (접촉계면 반사 초음파의 음향 비선형 특성)

  • Park, Byung-Jun;Lee, Tae-Hun;Kim, Chung-Seok;Jhang, Kyung-Young
    • Journal of the Korean Society for Nondestructive Testing
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    • v.31 no.1
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    • pp.40-46
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    • 2011
  • In the field application of the conventional acoustic nonlinear technique using through transmission of bulk waves to evaluate the contact acoustic nonlinearity(CAN) in solid-solid contact interfaces like as in the closed crack, it has difficulty to access inner position for attaching the pulsing or receiving transducer. In the present study, a new reflection technique has been suggested to measure the acoustic nonlinearity in solid-solid contact interfaces, which uses both of pulsing and receiving transducers on the same side of target and so that it will be very useful for the field application. For this, based on the linear and the nonlinear contact stiffness estimated by the power-model of the contacting pressure, the nonlinear parameter of the reflected ultrasonic wave at the interfaces has been theoretically calculated. Experimental results in contact interfaces of A1606l-T6 alloy specimens with loading pressure showed good agreement with the theoretical predictions, which proves the validity of the suggested reflection mode technique.

Early Detection of Micro-Defects(Degradation) by Using Nonlinear Acoustic Effect (비선형 음향 효과를 이용한 미세 결함(열화)의 조기 검출)

  • Jhang, K.Y.;Kim, K.C.
    • Journal of the Korean Society for Nondestructive Testing
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    • v.18 no.5
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    • pp.365-372
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    • 1998
  • The method of measuring the nonlinear effect of ultrasonic waves is suggested as a new approach for the effective evaluation of material degradation. In sonic wave propagation, the existence of nonlinear effect can be demonstrated by the generation of higher order harmonic waves. So, at first, the mechanism of generating higher order harmonic components due to nonlinear effect was explained by using nonlinear elasticity. Next, we attempted to measure how much of the higher order harmonic component was generated in the degraded material. For this purpose, a measurement system mainly based on a high-powered nonlinear ultrasonic signal analysis system was constructed, and SS41 and SS45 specimen intentionally degraded by tensile load and fatigue load were tested. From the results, we confirmed that the measurement of nonlinear acoustic effect may be useful for the evaluation of material degradation.

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Nonlinear Finite Element-Boundary Element Analysis of Multi-Layered Structural Systems (유한요소와 경계요소의 조합에 의한 다층 구조계의 비선형 해석)

  • 김문겸;허택녕;이상도
    • Computational Structural Engineering
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    • v.7 no.4
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    • pp.57-67
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    • 1994
  • It is usual that underground structures are constructed within a multi-layered medium. In this paper, an efficient numerical modelling of multi-layered structural systems is studied using coupled analysis of finite elements and boundary elements. The finite elements are applied to the area in which the material nonlinearity dominates, and the boundary elements are applied to the far field where the nonlinearity is relatively weak. In the boundary element modelling of the multi-layered medium, fundamental solutions are not readily available. Thus, methods which can utilize existing Kelvin solutions are sought for the interior multi-layered domain problem. The interior domain problem which has piecewise homogeneous layers is analyzed using boundary elements with Kelvin solution, by discretizing each homogeneous subdomain and enforcing compatibility and equilibrium conditions between interfaces. Developed methodology is verified by comparing its results with those from the finite element analysis and it is concluded that coupled analysis using boundary elements and finite elements can be reasonable and efficient.

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Studies on Probabilistic Nonlinear First Ply Failure Loads and Buckling Loads of Laminated Composite Panels (적층복합재료 패널의 확률론적 비선형 초기파단하중 및 좌굴하중에 관한 연구)

  • Bang, Je-Sung
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.17 no.6
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    • pp.1-10
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    • 2013
  • Probabilistic nonlinear first ply failure loads of flat composite panels and nonlinear buckling loads of curved composite panels with cutouts are estimated to provide the more reliable main load carrying structure in the renewable energy industry and offshore structures. The response surface method approximates limit state surface to a second order polynomial form of random variables with the results of deterministic finite element analyses at given sampling design points. Furthermore, the iterative linear interpolation scheme is used to obtain a more accurate approximation of the limit state surface near the most probable failure point (MPFP). The advanced first order second moment method and the Monte Carlo method are performed on an approximated limit state surface to evaluate the probability of failure. Finally, the sensitivity of the reliability index with respect to transformed random variables is investigated to figure out the main random variables that have an effect on failures.

Ultrasonic Nonlinearity Measurement in Heat Treated SA508 Alloy: Influences of Grains and Precipitates (열처리된 SA508 합금에서의 초음파 비선형성 측정: 결정립과 석출물 영향)

  • Baek, Seung-Hyun;Lee, Tae-Hun;Kim, Chung-Seok;Jhang, Kyung-Young
    • Journal of the Korean Society for Nondestructive Testing
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    • v.30 no.5
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    • pp.451-457
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    • 2010
  • In the present study, the influences of grains and precipitates of microstructural evolution on the ultrasonic nonlinearity have been experimentally investigated. The prior-austenite grain and precipitate size are controlled by the variation in austenitizing and tempering conditions in reactor pressure vessel materials of nuclear power plant, SA508 Gr.3 low alloys. The ultrasonic nonlinearity was found to have strong correlations with grains and precipitates since the ultrasonic nonlinear parameter $\beta$ shows decrease trend with coarsening of grains and precipitates. Although the prior-austenite grain size increased, the $\beta$ changed little due to the effects of subgrains, packets and laths. For the preciptate effects, the $\beta$ decreased sharply due to decrease in $Mo_2C$ causing the coherency stain in addition to the precipitate size. The results in this study may provide a potential for characterizing the microstructural evolution, grains and precipitates, by measuring the ultrasonic nonlinearity.

Nonlinear Analysis of Reinforced and Prestressed Concrete Slabs (철근 및 프리스트레스트 콘크리트 슬래브의 비선형 해석)

  • 최정호;김운학;신현목
    • Magazine of the Korea Concrete Institute
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    • v.8 no.6
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    • pp.223-234
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    • 1996
  • The purpose of this paper is to present an analysis method by using the finite element method which can exactly analyze load-deflection relationships, crack propagations. and stresses and strains of reinforcements, tendons, and concrete in behaviors of elastic. inelastic and ultimate ranges of reinforced and prestressed concrete slabs under monotonically increasing loads. For t h i s purpose, the m a t e r i a l and geometric nonlinearities are taken into account in this study. The total Lagrangian formulation based upon the simplified Von Karman strain expressions is used to take into account the geometric nonlinearities of the structure. The material nonlinearities are taken into account by comprising the tension, compression. and shear models of cracked concrete and models for reinforcements and tendons in the concrete : and also a so-called smeared crack model is incorporated. The reinforcements and t,endons are assumed to be in a uniaxial stress state and are modelled as smeared layers of equivalent thickness. For the verification of application and validity of the method proposed in this paper, several numerical examples are analyzcd and compared with experimental results. As a result, this method can successfully predict the nonlinear and inelastic behaviors throughout the fracture of reinforced and prestressed concrete slabs.

Evaluation of Fatigue Degradation in SUS316L Using Nonlinear Ultrasonics (초음파의 비선형 특성을 이용한 SUS316L 재료의 피로 열화 평가에 관한 연구)

  • Choi, Ik-Hwang;Baek, Seung-Hyun;Lee, Tae-Hun;Jhang, Kyung-Young
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.2
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    • pp.145-152
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    • 2010
  • This study evaluated the fatigue degradation in a SUS316L specimen using the nonlinear ultrasonic method. The nonlinearity of the ultrasonic wave was estimated by a relative nonlinear parameter defined as the ratio of the amplitudes for the fundamental wave to the second harmonic wave. In the experiment, a measurement system with contact transducers was constructed; reliable measurements were assured by keeping measurement conditions consistent and reducing extra harmonics generated in the measurement system. Two types of SUS316L specimen were used in experiments; a rotating bar fatigue specimen and a tensile fatigue specimen. The fatigue condition used was high cycle fatigue. The former specimen had a cylindrical shape and was used to observe the change in the nonlinear parameter after fatigue accumulation in a specimen. The latter was a plate-shaped specimen and was used to confirm the change in the nonlinear parameter at the position where the fatigue stress was concentrated. The measured nonlinear parameter showed a strong correlation to the damage level in both fatigue tests.

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.