• 제목/요약/키워드: Assumed Strain

검색결과 541건 처리시간 0.262초

활절로 지지된 원통형 적층복합쉘의 기하학적 비선형 해석 (Geometrically Nonlinear Analysis of Hinged Cylindrical Laminated Composite Shells)

  • 한성천
    • 복합신소재구조학회 논문집
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    • 제3권2호
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    • pp.1-10
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    • 2012
  • In the present study, an Element-Based Lagrangian Formulation for the nonlinear analysis of shell structures is presented. 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-Based Lagrangian Formulation of a 9-node resultant-stress shell element is presented for the anisotropic composite material. 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. The arc-length control method is used to trace complex equilibrium paths in thin shell applications. Numerical examples for laminated composite curved shells presented herein clearly show the validity of the present approach and the accuracy of the developed shell element.

석회석 광산의 암반 분류에 적용된 RMR, Q-system, GSI 간의 상관성 연구 (A Study of the Relationships among RMR, Q-system and GSI Applied to Classify Rock Mass of Limestone Mine)

  • 윤용균;이홍우
    • 화약ㆍ발파
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    • 제35권4호
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    • pp.27-35
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    • 2017
  • 석회석 광산 갱도 내 22 곳의 측정지점을 선정하여 RMR, Q-system, GSI와 같은 암반분류법을 적용하였다. SRF와 $J_w$를 1로 한 수정 Q(Q')와 지하수 조건을 '완전 건조'로 하고 불연속면의 방향 보정을 '0'으로 한 수정 RMR(${RMR_{89}}^{\prime}$)도 계산하였다. Q-기본 RMR, Q-최종 RMR, ${GSI-RMR_{89}}^{\prime}$, GSI-Q' 간의 상관관계를 분석한 결과 ${GSI-RMR_{89}}^{\prime}$ 의 상관성이 가장 높은 것으로 나타났다. 계수비를 기초로 파괴 변형률을 구했으며, 대부분의 측정지점이 '낮은 파괴 변형률' 등급에 속하는 것으로 나타나 안정한 것으로 평가되었다.

기하학적 비선형 해석을 위한 곡면 2차 삼각형 쉘 요소에 관한 연구 (Curved quadratic triangular degenerated-shell elements for geometric non-linear analysis)

  • 김창호
    • 한국항공우주학회지
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    • 제33권2호
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    • pp.46-53
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    • 2005
  • 곡면 사각형 쉘 요소들이 다수인 것에 비해, 곡면 삼각형 요소들은 아주 소수이다. 이미 발표된, 선형 해석을 위한 6절점 2차 쉘 요소의 가정 자연 변형도 이론에 기초해, 본 연구에서는 6절점 쉘 요소의 기하학적 비선형 해석을 수행하였다. 쉘 요소는 표준 절점 자유도만으로 곡면 모델링이 가능하고, 수치해석 결과가 보여주는 바와 같이 다양한 잠김 현상들을 제거하는데 효율적인 요소임을 확인하였다.

Influences of seepage force and out-of-plane stress on cavity contracting and tunnel opening

  • Zou, Jin-Feng;Chen, Kai-Fu;Pan, Qiu-Jing
    • Geomechanics and Engineering
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    • 제13권6호
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    • pp.907-928
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    • 2017
  • The effects of seepage force and out-of-plane stress on cavity contracting and tunnel opening was investigated in this study. The generalized Hoek-Brown (H-B) failure criterion and non-associated flow rule were adopted. Because of the complex solution of pore pressure in an arbitrary direction, only the pore pressure through the radial direction was assumed in this paper. In order to investigate the effect of out-of-plane stress and seepage force on the cavity contraction and circular tunnel opening, three cases of the out-of-plane stress being the minor, intermediate, or major principal stress are assumed separately. A method of plane strain problem is adopted to obtain the stress and strain for cavity contracting and circular tunnel opening for three cases, respectively, that incorporated the effects of seepage force. The proposed solutions were validated by the published results and the correction is verified. Several cases were analyzed, and parameter studies were conducted to highlight the effects of seepage force, H-B constants, and out-of-plane stress on stress, displacement, and plastic radius with the numerical method. The proposed method may be used to address the complex problems of cavity contraction and tunnel opening in rock mass.

A refined finite element for first-order plate and shell analysis

  • Han, Sung-Cheon;Kanok-Nukulchai, Worsak;Lee, Won-Hong
    • Structural Engineering and Mechanics
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    • 제40권2호
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    • pp.191-213
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    • 2011
  • This paper presents an improved 8-node shell element for the analysis of plates and shells. The finite element, based on a refined first-order shear deformation theory, is further improved by the combined use of assumed natural strain method. We analyze the influence of the shell element with the different patterns of sampling points for interpolating different components of strains. Using the assumed natural strain method with proper interpolation functions, the present shell element generates neither membrane nor shear locking behavior even when full integration is used in the formulation. Further, a refined first-order shear deformation theory, which results in parabolic through-thickness distribution of the transverse shear strains from the formulation based on the third-order shear deformation theory, is proposed. This formulation eliminates the need for shear correction factors in the first-order theory. Numerical examples demonstrate that the present element perform better in comparison with other shell elements.

Dynamic response of size-dependent porous functionally graded beams under thermal and moving load using a numerical approach

  • Fenjan, Raad M.;Ahmed, Ridha A.;Faleh, Nadhim M.;Hani, Fatima Masood
    • Structural Monitoring and Maintenance
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    • 제7권2호
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    • pp.69-84
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    • 2020
  • Based on differential quadrature method (DQM) and nonlocal strain gradient theory (NSGT), forced vibrations of a porous functionally graded (FG) scale-dependent beam in thermal environments have been investigated in this study. The nanobeam is assumed to be in contact with a moving point load. NSGT contains nonlocal stress field impacts together with the microstructure-dependent strains gradient impacts. The nano-size beam is constructed by functionally graded materials (FGMs) containing even and un-even pore dispersions within the material texture. The gradual material characteristics based upon pore effects have been characterized using refined power-law functions. Dynamical deflections of the nano-size beam have been calculated using DQM and Laplace transform technique. The prominence of temperature rise, nonlocal factor, strain gradient factor, travelling load speed, pore factor/distribution and elastic substrate on forced vibrational behaviors of nano-size beams have been explored.

디프도로잉 시 DP강의 집합조직 및 이방성 거동 모사 (Simulation of Texture Evolution and Anisotropic Properties in DP Steels during Deep Drawing Process)

  • 송영식;김병진;한성호;진광근;최시훈
    • 소성∙가공
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    • 제17권7호
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    • pp.517-522
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    • 2008
  • A visco-plastic self-consistent (VPSC) polycrystal model has been applied to simulate texture simulation and anisotropic properties of DP steels during deep drawing process. In order to evaluate the strain path during deep drawing, a steady state was assumed in the flange part of deep drawn cup. The final stable orientations were strongly dependent on the initial location in the blank. The evolution of anisotropy of DP steel sheets has been demonstrated through comparison of plastic strain rate vector at the different plastic strain levels.

구형석출물을 갖는 무한 고체에 전수압이 가해지는 경우에 대한 탄소성해 (An elasto-plastic solution for infinite solid containing a spherical precipitate under hydrostatic pressure)

  • 최병익;엄윤용
    • 대한기계학회논문집
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    • 제5권2호
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    • pp.122-130
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    • 1981
  • Equation of equilibrium is derived and solved for an infinite isotropic solid under applied hydrostatic stress which is uniform at large distance, and disturbed by a spherical precipitate which has isotropoc elastic constants dirrerent form those of the matrix. A linear strain hardening behavior of the matrix is assumed, and an elasto-plastic sloution is obtained. The difference of the total strain energy stored inthe infinite solid with and without a precipitate is computed, and compared with that for purely elastic case. Finally the effect of the ratio of the bulk modulus of the precipitate to that of the matrix and the effct of linear strain hardening rate on the plastic zone size and the energy difference are discussed.

스테인레스 304의 열간동적재결정과 미세조직 예측 (The Prediction of Dynamic Recrystallization and Grain Size of 304 Stainless Steel during Hot Deformation)

  • 권영표;조종래;이성열
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2000년도 추계학술대회 논문집
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    • pp.25-28
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    • 2000
  • The flow stress of 304 stainless steel during high during hot forming process were determined by conducting hot compression tests at the range of 1273 K-1423 K and 0.05 /s-2.0 /s as these are typical temperature and strain rate in hot forging operation. Based on the observed phenomena, a constitutive model of flow stress was assumed as a function of strain, strain rate, temperature. Dynamic recrystallization was found to be the major softening mechanism with this conditions as previous studies. A finite element analysis was performed to predict the recrystallized volume fraction and the mean grain size in hot compression of 304 stainless steel.

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저속 충격을 받는 복합 재료 적층판의 층간 분리 성장에 관한 연구 (A Study on the Delamination Growth in Composite Laminates Subjected to Low-Velocity Impact)

  • 장창두;송하철;김호경;허기선;정종진
    • 한국해양공학회지
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    • 제16권6호
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    • pp.55-59
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    • 2002
  • Delamination means that cracking occurs on the interface layer between composite laminates. In this paper, to predict the delamination growth in composite laminates subjected to low-velocity impact, the unit load method was introduced, and an eighteen-node 3-D finite element analysis, based on assumed strain mixed formulation, was conducted. Strain energy release rate, necessary to determine the delamination growth, was calculated by using the virtual crack closure technique. The unit load method saves the computation time more than the re-meshing method. The virtual crack closure technique enables the strain energy release rate to be easily calculated, because information of the singular stress field near the crack tip is not required. Hence, the delamination growth in composite laminates that are subjected to low-velocity impact can be efficiently predicted using the above-mentioned methods.