• 제목/요약/키워드: assumed strain method

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가정변형률 솔리드 요소를 이용한 복합재 샌드위치 평판의 저속충격 해석 (Analysis of low-velocity impact on composite sandwich panels using an assumed strain solid element)

  • 박정;박훈철;윤광준;구남서;이재화
    • 한국항공우주학회지
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    • 제30권7호
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    • pp.44-50
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    • 2002
  • 본 논문에서는 저속충격을 받는 복합재 샌드위치 평판의 동적 거동에 관한 연구를 수행하였다. 접촉 하중의 산출을 위해서 Hertz의 접촉법칙을 새로이 수정하는 방법을 제시했는데, 지수를 줄이는 방법과 심재의 두께방향의 탄성계수의 값을 줄여 등가 탄성계수를 계산하는 방법을 사용했다. 접촉하중을 산출하는 비선형 방정식은 Newton-Raphson 방법을 사용하여 계산하였고, 시간적분에는 Newmark-beta 방법을 사용하였다. 이러한 기법과 18절점 가정변형률 솔리드 요소를 적용하여 저속충격 해석용 유한요소 프로그램을 개발했다. 이 프로그램을 이용하여 다양한 복합재 샌드위치 평판의 저속충격에 대한 동적 거동을 해석하였다. 제안된 접촉법칙을 적용한 해석결과를 분석하여 볼 때, 대부분의 경우에서 접촉하중과 접촉시간이 실험결과와 대체로 일치함을 확인하였다.

다변수 변분해법에 의한 비적합 8절점 육면체 요소 (Incompatible Three-Dimensional Hexagonal Finite Elements by Multivariable Method)

  • 주상백;신효철
    • 대한기계학회논문집A
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    • 제20권7호
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    • pp.2078-2086
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    • 1996
  • This paper introduces two three-dimensional eight-node hexagonal elements obtained by using multivariable variational mehtod. Both of them are based on the modified hellinger-reissner principle to employ incompatible displacements and assumed stresses of assumed strains. The internal functions of element are introduced to as element formulation through two different methods : the first one uses the functions determined directly from the element boundary condition of the incompatible displacements ; while the second, being a kind of B-bar mehtod, employs the modification technique of strain-displacement matrix to pass the patch test. The elements are evaluated on the selective problems of bending and material incompressibility with regular and distorted meshes. The results show that the new elements perform with good accuracy in both of deformation and stress calculation and they are insensitive to distorted geometry of element.

보강된 구조물의 기하학적 비선형 해석을 위한 편심 응축 셸 요소 (An Eccentric Degenerated Shell Element for the Geometrically Nonlinear Analysis of Stiffened Structures)

  • 이원재;이병채
    • 대한기계학회논문집A
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    • 제24권7호
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    • pp.1721-1730
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    • 2000
  • An eccentric degenerated shell element with geometric non-linearity for the precise and efficient analysis of stiffened shell structures is developed. To deal with the eccentricity, we define the e ccentric shell and the master shell that constitute one combined shell. It is assumed that the sections remain plane after deformation. The internal force vector and the tangent stiffness matrix based on the virtual work principle in the natural coordinate system are derived. To enhance the robustness of the element, assumed strain method for transverse shear and membrane strains is used. Through numerical experiments the effectiveness of the proposed element is demonstrated.

9절점 가변형도 쉘요소를 이용한 콘크리트 구조물의 후-정점하중 해석 (A post-peak analysis of concrete structures using a 9-node assumed strain shell element)

  • 이상진;이홍표;서정문
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.59-66
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    • 2001
  • The post-peak analysis of concrete structures is carried out using a nine-node Reissner-Mindlin(RM) shell element which is formulated by using degenerated solid concepts. In order to avoid element deficiencies inherited in the standard RM shell element, assumed strains are adopted in the present shell element. A microscopic material model is adopted to represent the inelastic characteristic of concrete material. In particular, a concrete softening model is introduced to this material model. The arc-length control method is used to trace the post-peak behaviour of concrete structures. From the numerical test of the single-edge-notched beam, the present shell element shows a reasonable agreement with experimental data.

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Nonlocal strain gradient-based vibration analysis of embedded curved porous piezoelectric nano-beams in thermal environment

  • Ebrahimi, Farzad;Daman, Mohsen;Jafari, Ali
    • Smart Structures and Systems
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    • 제20권6호
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    • pp.709-728
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    • 2017
  • This disquisition proposes a nonlocal strain gradient beam theory for thermo-mechanical dynamic characteristics of embedded smart shear deformable curved piezoelectric nanobeams made of porous electro-elastic functionally graded materials by using an analytical method. Electro-elastic properties of embedded curved porous FG nanobeam are assumed to be temperature-dependent and vary through the thickness direction of beam according to the power-law which is modified to approximate material properties for even distributions of porosities. It is perceived that during manufacturing of functionally graded materials (FGMs) porosities and micro-voids can be occurred inside the material. Since variation of pores along the thickness direction influences the mechanical and physical properties, so in this study thermo-mechanical vibration analysis of curve FG piezoelectric nanobeam by considering the effect of these imperfections is performed. Nonlocal strain gradient elasticity theory is utilized to consider the size effects in which the stress for not only the nonlocal stress field but also the strain gradients stress field. The governing equations and related boundary condition of embedded smart curved porous FG nanobeam subjected to thermal and electric field are derived via the energy method based on Timoshenko beam theory. An analytical Navier solution procedure is utilized to achieve the natural frequencies of porous FG curved piezoelectric nanobeam resting on Winkler and Pasternak foundation. The results for simpler states are confirmed with known data in the literature. The effects of various parameters such as nonlocality parameter, electric voltage, coefficient of porosity, elastic foundation parameters, thermal effect, gradient index, strain gradient, elastic opening angle and slenderness ratio on the natural frequency of embedded curved FG porous piezoelectric nanobeam are successfully discussed. It is concluded that these parameters play important roles on the dynamic behavior of porous FG curved nanobeam. Presented numerical results can serve as benchmarks for future analyses of curve FG nanobeam with porosity phases.

전단지배형 부재의 변형능력 산정을 위한 모형 (Deformability Models of Shear Controlled Members)

  • 홍성걸
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2004년도 추계 학술발표회 제16권2호
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    • pp.357-360
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    • 2004
  • Estimation of deformation capacity of non-flexural reinforced concrete members is proposed using basic concepts of limit analysis and the virtual work method. This new approach starts with construction of admissible stress field as for an equilibrium set. Failure mechanisms compatible with admissible stress fields are postulated as for displacement set. It is assumed that the ultimate deformations as result of failure mechanisms are controlled by ultimate strain of concrete in compression. The derived formula for deformability of deep beams in shear shows reasonable range of ultimate displacement.

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3점 굽힘시험에 있어서 AE, 초음파, 크랙게이지법의 비교연구 (A Study on Comparison of Acoustic Emission, Ultrasonic Testing and Crack Gauge Method in 3-point Bending Testing)

  • 한응교;김경석;박준서
    • 비파괴검사학회지
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    • 제10권1호
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    • pp.65-72
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    • 1990
  • Comparison of acoustic emission, ultrasonic testing and crack gauge in 3-point bending testing have been studied. As the results, COD is indirectly assumed by strain gauge rate and grid pitch width when crack gauge grid is out. Acoustic emission is qualitatively able to measure crack growth by total count but ultrasonic testing has a difficulty in measuring it because of echo height fluctuation according to the change and pressure of UT. probe.

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강소성 외연적 유한요소법을 이용한 자동차 박판제품의 성형공정에 대한 단면해석 (Sectional Forming Analysis of Automobile Sheet Metal Parts by using Rigid-Plastic Explicit Finite Element Method)

  • 안동규;정동원;양동열;이장희
    • 한국자동차공학회논문집
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    • 제3권3호
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    • pp.19-28
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    • 1995
  • The explicit scheme for finite element analysis of sheet metal forming problems has been widely used for providing practical solutions since it improves the convergency problem, memory size and computational time especially for the case of complicated geometry and large element number. The explicit schemes in general use are based on the elastic-plastic modelling of material requiring large computation time. In the present work, rigid-plastic explicit finite element method is introduced for analysis of sheet metal forming processes in which plane strain normal anisotropy condition can be assumed by dividing the whole piece into sections. The explicit scheme is in good agreement with the implicit scheme for numerical analysis and experimental results of auto-body panels. The proposed rigid-plastic explicit finite element method can be used as robust and efficient computational method for prediction of defects and forming severity.

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Torsional vibration analysis of bi-directional FG nano-cone with arbitrary cross-section based on nonlocal strain gradient elasticity

  • Noroozi, Reza;Barati, Abbas;Kazemi, Amin;Norouzi, Saeed;Hadi, Amin
    • Advances in nano research
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    • 제8권1호
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    • pp.13-24
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    • 2020
  • In this paper, for the first time based on the nonlocal strain gradient theory the effect of size dependency in torsional vibration of bi-direction functionally graded (FG) nonlinear nano-cone is study. The material properties were assumed to vary according to the arbitrary function in radial and axial directions. The Navier equation and boundary conditions of the size-dependent bidirectional FG nonlinear nano-cone were derived by Hamilton's principle. These equations were solved by employing the generalized differential quadrature method (GDQM). The presented model can turn into the classical model if the material length scale parameters are taken to be zero. The effects of some parameters, such as inhomogeneity constant, cross-sectional area parameter and small-scale parameters, were studied. As an essential result of this study can be stated that an FG nano-cone model based on the nonlocal elasticity theory behaves softer and based on the strain gradient theory behaves harder.

Al-Cu-Mg 합금의 석출입자, 특히 S-상 입자들에 의한 변형장의 LACBED 관찰 (LACBED Observation of Strain Fields due to Precipitates, Especially S-Phase Particles in Al-Cu-Mg Alloy)

  • 김황수
    • Applied Microscopy
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    • 제37권2호
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    • pp.123-133
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    • 2007
  • Al합금(Al-2.5Cu-1.5Mg wt.%)의 석출물 특히 S-상석출입자 $(Al_2CuMg)$ 부근의 변형장 (strain fields)에 대해 LACBED 관찰 연구가 처음으로 수행되었다. 변형장 강도에 대한 정량적 분석을 위해서는 대응되는 LACBED패턴 시뮬레이션 필요하다. 이를 위해 S-입자에 대해서 형태가 단순한 $a_s$-축을 가진 원기둥 모양을 갖고 변형장의 격자변위 벡터가 이 축에 수직 방향을 갖는다고 가정했다. 이런 단순한 모델을 가지고 변형장에 대한 관찰 패턴과 시뮬레이션 사이 합리적인 일치를 얻었다. 그러나 합금의 초기 시효 단계에서는 의미 있는 변형장이 관측되지 않았다. 따라서 이 실험의 결과로 예상되는 것은 합금의 최대 경도를 갖는 시료에는 S-상 석출 입자들이 Al-모체에 복잡한 변형장 그물망을 만들고 이것이 합금 경도에 기여 할 것으로 사료된다.