• 제목/요약/키워드: Isotropic strain

검색결과 240건 처리시간 0.024초

실트질 해사의 역학적 특성 및 거동에 관한 연구 (Strength Characteristics and their Behaviours of Marine Silty Sands)

  • 장병욱;송창섭;우철웅
    • 한국농공학회지
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    • 제36권3호
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    • pp.74-83
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    • 1994
  • A series of isotropic consolidation tests, undrained and drained triaxial compression tests was carried out to investigate the physical characteristics and behaviours of marine silty sands collected from the western coast of Korea. This study also included a theoretical development of the constitutive equation to evaluate stress-strain relationship and volume change of silty sands. The results and main conclusions of the study are summarized as follows; 1. Isotropic compression and swelling index are linearly decreased with an increase in relative density. 2. Both undrained shear strengh and elastic modulus are increased with an increase in relative density and confining pressure. 3. Internal friction angles obtained from drained and undrained compression tests of the soils are proportional to relative density. 4. The phenomenon of dilatancy of each sample is less profound when confining stress is increased but more profound when relative density is increased. 5. The slope of critical state lines is 1.78 for Saemangum, 1.70 for Siewha and 1.26 for Sukmoon sands. 6. In this study, Drucker-Praper type criterion is used and hardening function of Cap model is modified by hyperbolic fuction. This will improve a lack of physical meaning of hardening parameters in conventional Cap model. 7. A newly developed constitutive equation to the forementioned silty sands and checked its applicability. This is in good agreement with the measured data.

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Transmission/reflection phenomena of waves at the interface of two half-space mediums with nonlocal theory

  • Adnan, Jahangir;Abdul, Waheed;Ying, Guo
    • Structural Engineering and Mechanics
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    • 제85권3호
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    • pp.305-314
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    • 2023
  • The article is about the theoretical analysis of the transmission and reflection of elastic waves through the interface of perfectly connected materials. The solid continuum mediums considered are piezoelectric semiconductors and transversely isotropic in nature. The connection among the mediums is considered in such a way that it holds the continuity property of field variables at the interface. The concept of strain and stress introduced by non-local theory is also being involved to make the study more applicable It is found that, the incident wave results in the generation of four reflected and three transmitted waves including the thermal and elastic waves. The thermal waves generated in the medium are encountered by using the concept of three phase lag heat model along with fractional ordered time thermoelasticity. The results obtained are calculated graphically for a ZnO material with piezoelectric semiconductor properties for medium M1 and CdSc material with transversely isotropic elastic properties for medium M2. The influence of fractional order parameter, non-local parameter, and steady carrier density parameter on the amplitude ratios of reflected and refraction waves are studied graphically by MATLAB.

극저온 상태에서 AC4C-T6 의 가공 경화 모델 결정에 관한 연구 (Cyclic Stress-strain Hardening Model of AC4C-T6 Alloy at Cryogenic Temperature)

  • 이재범;김경수;이장현;유미지;정준모
    • 대한조선학회논문집
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    • 제46권5호
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    • pp.498-509
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    • 2009
  • Present study is concerned with the simulation of plasticity models for the cyclic stressstrain behavior of aluminum alloy AC4C-T6 that can be used for primary materials of LNG cargo pump. Material model of cyclic hardening and plasticity for aluminum alloy AC4C-T6 was investigated through experiments and numerical simulations. Monotonic tensile and cyclic tension-compression test under symmetric load cycles was performed at both room temperature and cryogenic temperature of $-165^{\circ}C$. Based on the experimental data plastic hardening models were evaluated for isotropic/kinematic/combined hardening. FEA (Finite Element Analysis) models which describe the cyclic stress-strain relationship were evaluated for the simulation of plasticity. An appropriate hardening model is proposed comparing the results of FEA with those of experiments.

유한요소해석에 의한 공구마모의 파괴역학적 모델링 연구 (Fracture-mechanical Modeling of Tool Wear by Finite Element Analysis)

  • 서욱환;이영섭
    • 한국안전학회지
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    • 제19권4호
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    • pp.135-140
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    • 2004
  • 마모구조는 대략적으로 기계, 화학 및 열적 마모 등으로 구분되어 진다. 평면변형 유한요소법이 지속적인 칩 형성을 갖는 대각선 가공을 시뮬레이션 하기 위하여 새로운 재료의 응력 및 온도 필드와 같이 사용되었다. 작업소재의 변형은 등방성 변형 경화를 갖는 탄성-점소으으로 취급되며, 수치해석의 해는 소성 변형과 온도 필드의 결합을 설명하며, 온도 종속적인 재료 물성치로 취급된다. 이 논문에서 개발된 모델에서는 전단영역 주위의 변형률, 응력 및 온도 분포에 대한 구성모델의 불확실성의 영향들을 보여주며 예측된 전단영역의 응력, 변형률 및 온도의 평균값들은 기존의 실험 치와 비교해서 잘 맞는 것으로 사료된다.

An element-based 9-node resultant shell element for large deformation analysis of laminated composite plates and shells

  • Han, S.C.;Kim, K.D.;Kanok-Nukulchai, W.
    • Structural Engineering and Mechanics
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    • 제18권6호
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    • pp.807-829
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    • 2004
  • The Element-Based Lagrangian Formulation of a 9-node resultant-stress shell element is presented for the isotropic and anisotropic composite material. The effect of the coupling term between the bending strain and displacement has been investigated in the warping problem. The strains, stresses and constitutive equations based on the natural co-ordinate have been used throughout the Element-Based Lagrangian Formulation of the present shell element which offers an advantage of easy implementation compared with the traditional Lagrangian Formulation. The element is free of both membrane and shear locking behavior by using the assumed natural strain method such that the element performs very well in thin shell problems. In composite plates and shells, the transverse shear stiffness is defined by an equilibrium approach instead of using the shear correction factor. The arc-length control method is used to trace complex equilibrium paths in thin shell applications. Several numerical analyses are presented and discussed in order to investigate the capabilities of the present shell element. The results showed very good agreement compared with well-established formulations in the literature.

판재의 이방성을 고려한 연성파단모델 개발 (Modeling of a Ductile Fracture Criterion for Sheet Metal Considering Anisotropy)

  • 박남수;허훈
    • 소성∙가공
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    • 제25권2호
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    • pp.91-95
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    • 2016
  • This paper is concerned with modeling of a ductile fracture criterion for sheet metal considering anisotropy to predict the sudden fracture of advanced high strength steel (AHSS) sheets during complicated forming processes. The Lou−Huh ductile fracture criterion is modified using the Hill’s 48 anisotropic plastic potential instead of the von Mises isotropic plastic potential to take account of the influence of anisotropy on the equivalent plastic strain at the onset of fracture. To determine the coefficients of the model proposed, a two dimensional digital image correlation (2D-DIC) method is utilized to measure the strain histories on the surface of three different types of specimens during deformation. For the derivation of an anisotropic ductile fracture model, principal stresses (𝜎1,𝜎2, 𝜎3) are expressed in terms of the stress triaxiality, the Lode parameter, and the equivalent stress (𝜂𝐻, 𝐿,) based on the Hill’s 48 anisotropic plastic potential. The proposed anisotropic ductile fracture criterion was quantitatively evaluated according to various directions of the maximum principal stress. Fracture forming limit diagrams were also constructed to evaluate the forming limit in sheet metal forming of AHSS sheets over a wide range of loading conditions.

단층 이황 몰리브덴(MoS2)의 밴드갭 조절연구

  • 박민우
    • EDISON SW 활용 경진대회 논문집
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    • 제3회(2014년)
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    • pp.439-441
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    • 2014
  • 단층 $MoS_2$는 현재 트랜지스터나 LED등에 활용을 연구중인 물질이다. 단층 $MoS_2$의 밴드구조는 약 1.8eV의 직접 밴드갭을 보이는 반도체로 알려져있다. 이 물질을 소자에 활용할 때 고유의 1.8 eV 직접 밴드갭을 이용한다. 다양한 분야에 소자로 응용되기 위해서는 밴드갭을 조절이 필요하다. 그래서 $MoS_2$의 밴드갭을 조절하는 연구가 행해져 왔는데 그 중 하나가 수소흡착 방법이다. 수소를 단층 $MoS_2$에 흡착시키면 금속 밴드구조를 보인다고 알려져 있다. 본 연구에서는 DFT (Density Functional Theory) 계산을 통하여 밴드갭을 조절하는 다른 방법 중에 하나인 역학적인 힘에 의해 전기적인 특성의 변화에 대한 기초연구를 진행하였다. 단층 $MoS_2$에 in-plane 방향으로 isotropic strain을 주었을 때 밴드갭이 0.68 eV에서 1.89 eV까지 변하는 것을 확인했다. 우리는 단층 $MoS_2$는 약간의 strain에도 밴드갭크기가 다소 많이 변할 뿐만 아니라 직접 밴드갭이 간접 밴드갭으로 변하는 것을 보였다. 심지어 10%정도 strain을 주면 금속으로 변할 것으로 예상된다. 밴드갭이 변하는 성질을 이용하여 센서등 여러 어플리케이션에 단층 $MoS_2$를 활용할 수 있을 것으로 예상된다.

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2D 변형률 파손 이론을 이용한 복합재료의 굽힘 거동 해석 (A Study on Bending Behaviors of Laminated Composites using 2D Strain-based Failure Theory)

  • 김진성;노진호;이수용
    • 항공우주시스템공학회지
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    • 제11권5호
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    • pp.13-19
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    • 2017
  • 본 연구에서는 굽힘 하중을 받는 복합재료 적층판의 파손 해석을 위하여 2D 변형률 기반 파손 이론을 적용하였다. 복합재료 적층판의 비선형 기계적 거동을 모사하기 위하여, 선형 증분 접근 방식을 적용하고 단위 길이 적층판에 대한 점진적 파손 해석을 수행하였다. 크로스플라이 및 준등방성 적층 패턴에 대하여 3점 굽힘 시험을 수행하고 해석 결과와 비교 검증하였다.

구조용 강재의 반복소성모델 분석 연구 (State of the Art of the Cyclic Plasticity Models of Structural Steel)

  • 이은택
    • 한국강구조학회 논문집
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    • 제14권6호
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    • pp.735-746
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    • 2002
  • 소성이론이의 연구방향은 일반적으로 두 가지 대별된다. 첫 째는 강재의 소성변형을 적절하게 나타내는 응력-변형도 관계를 정립하는 것이고, 둘 째는 위의 과정을 이용한 기법을 개발하고 구조물을 설계하는 것이다. 소성이론을 연구하는데 한 가지 중요한 문제는 복잡한 하중이력에 대하여 소성영역에서 경화재료의 거동을 묘사하는 것이다. 또한 구조물이 강한 지진이나 바람하중을 받을 경우, 비례하중보다는 복잡한 불비례하중에 의하여 영향을 받는다. 따라서 소성이론과 강재의 소성거동에 대한 연구는 불비례하중의 거동과 영향을 나타낼 수 있어야 한다. 지금까지 많은 연구자들이 이 분야에서 이론을 발표하였고, 지금도 계속하여 새로운 소성모델 연구를 하고 있다. 본 논문은 지금까지 가장 많이 쓰이고 있는 소성 모델을 two-surface 소성모델을 중심으로 분석하고 각 소성모델의 특징과 문제점을 파악하였고 앞으로의 연구과제를 제안하였다.

An exact finite strip for the calculation of relative post-buckling stiffness of isotropic plates

  • Ovesy, H.R.;Ghannadpour, S.A.M.
    • Structural Engineering and Mechanics
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    • 제31권2호
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    • pp.181-210
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    • 2009
  • This paper presents the theoretical developments of an exact finite strip for the buckling and initial post-buckling analyses of isotropic flat plates. The so-called exact finite strip is assumed to be simply supported out-of-plane at the loaded ends. The strip is developed based on the concept that it is effectively a plate. The present method, which is designated by the name Full-analytical Finite Strip Method in this paper, provides an efficient and extremely accurate buckling solution. In the development process, the Von-Karman's equilibrium equation is solved exactly to obtain the buckling loads and the corresponding form of out-of-plane buckling deflection modes. The investigation of thin flat plate buckling behavior is then extended to an initial post-buckling study with the assumption that the deflected form immediately after the buckling is the same as that obtained for the buckling. It is noted that in the present method, only one of the calculated out-of-plane buckling deflection modes, corresponding to the lowest buckling load, i.e., the first mode is used for the initial post-buckling study. Thus, the postbuckling study is effectively a single-term analysis, which is attempted by utilizing the so-called semi-energy method. In this method, the Von-Karman's compatibility equation governing the behavior of isotropic flat plates is used together with a consideration of the total strain energy of the plate. Through the solution of the compatibility equation, the in-plane displacement functions which are themselves related to the Airy stress function are developed in terms of the unknown coefficient in the assumed out-of-plane deflection function. These in-plane and out-of-plane deflected functions are then substituted in the total strain energy expressions and the theorem of minimum total potential energy is applied to solve for the unknown coefficient. The developed method is subsequently applied to analyze the initial postbuckling behavior of some representative thin flat plates for which the results are also obtained through the application of a semi-analytical finite strip method. Through the comparison of the results and the appropriate discussion, the knowledge of the level of capability of the developed method is significantly promoted.