• 제목/요약/키워드: nonlinear elasto-plastic analysis

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Nonlinear Analysis of RC Structures using Assumed Strain RM Shell Element

  • Lee, Sang Jin
    • Architectural research
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    • 제16권1호
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    • pp.27-35
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    • 2014
  • Nonlinear analysis of reinforced concrete structures is carried out by using Reissner-Mindlin (RM) shell finite element (FE). The brittle inelastic characteristic of concrete material is represented by using the elasto-plastic fracture (EPF) material model with the relevant material models such as cracking criteria, shear transfer model and tension stiffening model. In particular, assumed strains are introduced in the formulation of the present shell FE in order to avoid element deficiencies inherited in the standard RM shell FE. The arc-length control method is used to trace the full load-displacement path of reinforced concrete structures. Finally, four benchmark tests are carried out and numerical results are provided as future reference solutions produced by RM shell element with assumed strains.

축압축력을 받는 원통형 축대칭 쉘구조의 거동에 관한 연구 (A Study on the Behavior of Cylindrical Shell Structure Subjected to Axial Compression)

  • 조현영;정진환;황상필
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1997년도 가을 학술발표회 논문집
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    • pp.249-253
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    • 1997
  • A numerical method for evaluating the equilibrium path of cylindrical shell subject to axial load and eccentrically axial load is presented. The effects of both material and geometric nonlinearities were also considered in the analysis. The nonlinear formulation was based on the total Lagrangian description and nonlinear equtions were solved by the Newton-Raphson method with load increment procedures. Degenerate shell elements with layered approach were employed for the analysis. The elasto-plastic deformation can be found in several examples and a large eccentricity of the axial load reduces the stress level at the time of the local buckling of the pipe considerably.

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한국형 원전 격납건물의 비선형해석에 관한 연구 (A Study on the Nonlinear Analysis of Containment Building in Korea Standard Nuclear Power Plant)

  • 이홍표;전영선
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.694-697
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    • 2007
  • In this paper, a nonlinear finite element analysis program NUCAS, which has been developed for assessment of pressure capacity and failure mode for nuclear containment building is described. Degenerated shell element with assumed strain method and low-order solid element with enhanced assumed strain method is adapted to microscopic material and elasto-plastic material model, respectively. Finally, the performance of the developed program is tested and demonstrated with several examples. From the numerical tests, the present results show a good agreement with experimental data or other numerical results.

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Path-dependent three-dimensional constitutive laws of reinforced concrete -formulation and experimental verifications-

  • Maekawa, Koichi;Irawan, Paulus;Okamura, Hajime
    • Structural Engineering and Mechanics
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    • 제5권6호
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    • pp.743-754
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    • 1997
  • A three-dimensional constitutive modeling for reinforced concrete is presented for finite element nonlinear analysis of reinforced concrete. The targets of interest to the authors are columns confined by lateral steel hoops, RC thin shells subjected to combined in-plane and out-of-plane actions and massive structures of three-dimensional (3D) extent in shear. The elasto-plastic and continuum fracture law is applied to pre-cracked solid concrete. For post cracking formulation, fixed multi-directional smeared crack model is adopted for RC domains of 3D geometry subjected to monotonic and reversed cyclic actions. The authors propose a new scheme of decomposing stress strain fields into sub-planes on which 2D constitutive laws can be applied. The proposed model for 3D reinforced concrete is experimentally verified in both member and structural levels under cyclic actions.

Failure analysis of tubes under multiaxial proportional and non-proportional loading paths

  • Mohammad Hossein Iji;Ali Nayebi
    • Steel and Composite Structures
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    • 제47권2호
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    • pp.289-296
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    • 2023
  • The failure of a thin-walled tube was studied in this paper based on three failure models. Both proportional and non-proportional loading paths were applied. Proportional loading consisted of combined tension-torsion. Cyclic non-proportional loading was also applied. It was a circular out-of-phase axial-shear stress loading path. The third loading path was a combination of a constant internal pressure and a bending moment. The failure models under study were equivalent plastic strain, modified Mohr-Coulomb (Bai-Wierzbicki) and Tearing parameter models. The elasto-plastic analysis was conducted using J2 criterion and nonlinear kinematic hardening. The return mapping algorithm was employed to numerically solve the plastic flow relations. The effects of the hydrostatic stress on the plastic flow and the stress triaxiality parameter on the failure were discussed. Each failure model under study was utilized to predict failure. The failure loads obtained from each model were compared with each other. The equivalent plastic strain model was independent from the stress triaxiality parameter, and it predicted the highest failure load in the bending problem. The modified Mohr-Coulomb failure model predicted the lowest failure load for the range of the stress triaxiality parameter and Lode's angle.

Dynamic analysis of ACTIVE MOUNT using viscoelastic-elastoplastic material model

  • Park, Taeyun;Jung, Wonuk
    • International Journal of Reliability and Applications
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    • 제17권2호
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    • pp.137-147
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    • 2016
  • The engine mount of a car subjected to a pre-load related to the weight of the engine, and acts to insulate the vibration coming from the engine by moving on large or small displacement depending on the driving condition of the car. The vibration insulation of the engine mount is an effect obtained by dissipating the mechanical energy into heat by the viscosity characteristic of the rubber and the microscopic behavior of the additive carbon black. Therefore, dynamic stiffness from the intrinsic properties of rubber filled with carbon black at the design stage is an important design consideration. In this paper, we introduced a hyper-elastic, visco-elastic and elasto-plastic model to predict the dynamic characteristics of rubber, and developed a fitting program to determine the material model parameters using MATLAB. The dynamic characteristics analysis of the rubber insulator of the ACTIVE MOUNT was carried out by using MSC.MARC nonlinear structural analysis software, which provides the dynamic characteristics material model. The analysis results were compared with the dynamic characteristics test results of the rubber insulator, which is one of the active mount components, and the analysis results were confirmed to be valid.

Development of Design Formula for Predicting Post-Buckling Behaviour and Ultimate Strength of Cylindrical Shell

  • Lee, Jung-Ho;Oh, Young-Cheol;Seo, Kwang-Cheol
    • 해양환경안전학회지
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    • 제23권3호
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    • pp.313-319
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    • 2017
  • Cylindrical shells are often used in ship structures at deck plating with a camber, side shell plating at fore and aft parts, and bilge structure part. It has been believed that such curved shells can be modelled fundamentally by a part of a cylinder under axial compression. From the estimations with the usage of cylinder models, it is known that, in general, curvature increases the buckling strength of a curved shell subjected to axial compression, and that curvature is also expected to increase the ultimate strength. We conduct series of elasto-plastic large deflection analyses in order to clarify the fundamentals in buckling and plastic collapse behaviour of cylindrical shells under axial compression. From the numerical results, we derive design formula for predicting the ultimate strength of cylindrical shell, based on a series of the nonlinear finite element calculations for all edges, simply supporting plating, varying the slenderness ratio, curvature and aspect ratio, as well as the following design formulae for predicting the ultimate strength of cylindrical shell. From a number of analysis results, fitting curve can be developed to use parameter of slenderness ratio with implementation of the method of least squares. The accuracy of design formulae for evaluating ultimate strength has been confirmed by comparing the calculated results with the FE-analysis results and it has a good agreement to predict their ultimate strength.

점성 감쇠기를 가진 셀프 센터링 단자유도 시스템과 탄소성거동의 단자유도 시스템의 내진성능 비교에 관한 연구 (Comparative Study on Seismic Performance of Viscously Damped Self-Centering SDOF Systems with Elasto-Plastic SDOF Systems)

  • 김형준
    • 한국강구조학회 논문집
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    • 제22권6호
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    • pp.553-561
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    • 2010
  • 본 논문은 점성 감쇠기를 가진 셀프 센터링 단자유도 시스템과 탄소성 거동을 하는 단자유도 시스템의 내진 성능을 해석적 연구를 통하여 두 시스템이 유사한 최대 변위 응답을 갖도록 하는 점성 감쇠기의 감쇠비를 근사적으로 구하는 것을 목적으로 한다. 우선, 점성 감쇠기를 가진 셀프 센터링 단자유도 시스템의 조화 반복 가력 시의 거동에 대하여 설명하고 거동을 구현할 수 있는 해석모델을 소개한 후 두개의 단자유도 시스템의 이력거동을 특징지을 수 있는 해석변수를 설정하고 20개의 역사지진을 사용하여 비선형 시간 이력 해석을 실시하였다. 대부분의 경우 약 10 ~ 15% 정도의 점성 감쇠비를 가진 셀프 센터링 단자유도 시스템이 탄소성 거동을 하는 단자유도 시스템과 유사한 평균 최대 변위 응답을 보였다. 아울러, 3개의 탄소성 거동을 하는 단자유도 시스템과 6개의 점성 감쇠기를 가진 셀프 센터링을 선택하여 두 시스템의 내진성능을 보다 자세히 조사한 결과, 점성 감쇠기를 가진 셀프 센터링 시스템이 진동이 끝난 후 잔류변형이 남지 않았을 뿐만 아니라 약 15%의 감쇠비를 가진 점성 감쇠기를 가진 셀프 센터링 시스템은 탄소성 거동의 단자유도 시스템보다 우수한 최대 변위와 가속도 응답을 보였다.

철근콘크리트 격납건물의 비선형 해석을 위한 쉘 유한요소 (Shell Finite Element for Nonlinear Analysis of Reinforced Concrete Containment Building)

  • 전영선;이홍표
    • 한국전산구조공학회논문집
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    • 제19권1호
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    • pp.93-103
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    • 2006
  • 격납건물은 원자로 사고발생시 방사능물질의 외부 유출을 막는 최후의 방벽이므로 가동 중 원전의 격납건물에 대한 안전성평가는 반드시 수행되어야 된다. 이러한 맥락에서 이 논문은 원전 격납건물의 비선형해석을 위해 탄소성 모델을 바탕으로 개발된 8절점 가변형도 쉘 요소와 이를 이용한 구조물의 비선형해석에 대하여 기술하였다. 비선형해석을 위해 콘크리트의 압축거동에 Drucker-Prager 파괴기준을 적용하였고 파괴포락선의 형상을 결정짓는 재료매개변수는 이축응력 실험으로부터 도출하였다. 개발된 쉘 유한요소는 퇴화 고체기법과 횡 전단변형도를 고려하기 위하여 Reissner-Mindlin(RM)가정을 도입하였고 쉘의 두께가 얇거나, 즉 종횡비가 작거나, 균일하지 않은 유한요소망을 사용할 경우 구조물의 강성이 과대하게 평가되는 묶임현상(locking phenomenon)을 제거하기 위해 본 논문에서는 가변형도법을 도입하였다. 개발된 철근콘크리트 쉘 요소의 성능검증을 위해서 벤치마크 테스트를 수행하였고 그 결과 이 논문에서 도출한 유한요소해석 결과는 실험결과와 잘 일치 하였다

토목섬유 보강 구조물의 응력 및 거동 해석 (An Analysis of Stresses and Behaviors in the Geotextile-Reinforced Soil Structures)

  • 고홍석
    • 한국농공학회지
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    • 제30권4호
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    • pp.94-108
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    • 1988
  • The use of geotextile as reinforcing materials in soil structures has become widespread throughout the world. Geotextile reinforcement has been used in retaining walls, roadbed, embankment stabilization and especially reinforcement of soft foundation, and so on, In the past, however, its design and construction have been performed empirically. In this study, laboratory model tests were carried out in order to investigate the effects of geotextile rein- forcement on vertical and horizontal displacement and other characteristics in soft founda- tions. The experiments were executed in eight treatments ;no geotextile between embank - ment and subsoils, and seven geotextiles with different tensile strength. And such factors as the loading conditions, the tensile strength of geotextiles, the ingredient of geotextiles and the elapsed time were investigate in this study. And the analytical method were executed in order to study the stress and behavior of geotextile - reinforced soil structure by the nonlinear elasto - plastic finite element model. The following conclusions were drawn from this study. 1. Geotextile reinforcement reduced the effects of banking loads on subsoils more effectively with the increase of their tensile strength. 2. As the tensile strength of geotextiles was increase, the rate of the initial vertical disp - lacements of loading plate was reduced inverse proportional to loads, Rowever, the effect of loading was reduced when the loads exceed a certain limits, 3. The effect of reinforcement of nonwoven geotextile was 1.5-4.5 times larger than that of the woven geotextile with equivalent tensile strength. 4. The increased bearing capacity and the reduced settlement are proportioned as the tensile strength of geotextile. 5. The settlement at the long time loading were developed almost all, were completed after 10 days and the additional settlement were not developed since then. 6. The nonlinear elasto - plastic finite element method are accurate to predict the stresses and behayior of geotextile - reinforced soil structures.

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