• 제목/요약/키워드: elasto-plastic theory

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Modelling reinforced concrete beams under mixed shear-tension failure with different continuous FE approaches

  • Marzec, Ireneusz;Skarzynski, Lukasz;Bobinski, Jerzy;Tejchman, Jacek
    • Computers and Concrete
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    • 제12권5호
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    • pp.585-612
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    • 2013
  • The paper presents quasi-static numerical simulations of the behaviour of short reinforced concrete beams without shear reinforcement under mixed shear-tension failure using the FEM and four various constitutive continuum models for concrete. First, an isotropic elasto-plastic model with a Drucker-Prager criterion defined in compression and with a Rankine criterion defined in tension was used. Next, an anisotropic smeared crack and isotropic damage model were applied. Finally, an elasto-plastic-damage model was used. To ensure mesh-independent FE results, to describe strain localization in concrete and to capture a deterministic size effect, all models were enhanced in a softening regime by a characteristic length of micro-structure by means of a non-local theory. Bond-slip between concrete and reinforcement was considered. The numerical results were directly compared with the corresponding laboratory tests performed by Walraven and Lehwalter (1994). The advantages and disadvantages of enhanced models to model the reinforced concrete behaviour were outlined.

잔류응력 및 변형을 고려한 용접평판부재의 최종강도 해석 (The Ultimate Strength Analysis of the Welded Plate Elements having Resiual Stresses and Strains)

  • 김병일
    • 한국항만학회지
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    • 제14권3호
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    • pp.331-340
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    • 2000
  • For the rational and economic design of the structural elements of ships which is built using welding, the ultimate strength analyses of the plates having initial imperfections, such as welding residual stresses and strains, are needful. The welding deformation usually relied on approximative equations or based on expert's experience. But in this paper, for the thermal elasto-plastic analysis of plates, the finite element analysis was performed, based on initial strain method. In formulating the incremental analysis, unbalanced force terns were included. In the plastic domain during the incremental process, the 2nd order terns stress increment and yield stress increment were considered, so that time increment could be controlled for a more stable solution. The ultimate strength analysis program of the plates having initial imperfections was made. The ultimate strength analysis was carried out based on the results of the welding deformations of this paper. In the ultimate strength analysis the Rayleigh-Ritz method based on the minimum potential theory was used.

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熔接이음부의 形象 最適化에 關한 硏究 (A Study on the Optimization of Shape of Weld Joints)

  • 방한서;강성원
    • Journal of Welding and Joining
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    • 제15권4호
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    • pp.70-77
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    • 1997
  • Welding is one of the most important and popular joining techniques employed in structures. In spite of, weld designs depend on the rules and regulations. Moreover, the study to optimize a shape of welding joint not may be sufficient and systematic on the theoretical and experimental sides. Therefore, in this study, a computer program based on thermal elasto plastic theory is developed for optimizing(minimizing) shape of weld joints. By the results, study is made on the characteristics of the distributions of welding residual stresses and plastic strains, and their production mechanisms. Also, Various kinds of tests are carried out to find out mechanical characteristics due to shape of weld joints. As a result of this optimization(minimization) of weld joints, the productivity and the reliability will be improved.

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Elasto-plastic stability of circular cylindrical shells subjected to axial load, varying as a power function of time

  • Sofiyev, A.H.;Schnack, E.;Demir, F.
    • Structural Engineering and Mechanics
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    • 제24권5호
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    • pp.621-639
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    • 2006
  • Stability of a cylindrical shell subject to a uniform axial compression, which is a power function of time, is examined within the framework of small strain elasto-plasticity. The material of the shell is incompressible and the effect of the elastic unloading is considered. Initially, employing the infinitesimal elastic-plastic deformation theory, the fundamental relations and Donnell type stability equations for a cylindrical shell have been obtained. Then, employing Galerkin's method, those equations have been reduced to a time dependent differential equation with variable coefficient. Finally, for two initial conditions applying a Ritz type variational method, the critical static and dynamic axial loads, the corresponding wave numbers and dynamic factor have been found. Using those results, the effects of the variations of loading parameters and the variations of power of time in the axial load expression as well as the variations of the radius to thickness ratio on the critical parameters of the shells for two initial conditions are also elucidated. Comparing results with those in the literature validates the present analysis.

케로신-공기 혼합물의 데토네이션 하중에 의한 열탄소성 관의 동적 거동 해석 (Numerical Investigation of Dynamic Responses of a Thermal Elasto-plastic Tube under Kerosene-air Mixture Detonation)

  • 곽민철;이영헌;여재익
    • 한국추진공학회지
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    • 제20권5호
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    • pp.60-69
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    • 2016
  • 본 연구에서는 케로신-공기 혼합물 데토네이션 계산과 다물질 해석을 기반으로 데토네이션 하중에 의한 얇은 금속관의 열탄소성 거동에 대한 수치계산을 수행하였다. 데토네이션 하중은 케로신-공기 혼합물의 데토네이션을 활용하여 모델링하였으며, 검증을 위해 해석 결과를 C-J 조건과 실험적 셀 직경을 통해 비교 검증하였다. 또한 금속의 탄성/소성 거동을 확인하기 위하여, 소성 거동은 구리의 Taylor impact 문제로, 탄성 거동은 베를리움 평판 떨림 문제를 활용하였다. 온도에 의한 관의 탄소성 거동 변화를 확인하기 위하여 동일한 데토네이션 하중 하에서 초기 온도가 다른 관의 거동을 확인하고 이론식과의 비교를 통해 열연화 효과가 고려되어야 함을 확인하였다.

탄소성이방성 솔리드 유한요소법 활용을 위한 목재 재료 모델 생성 연구 (Elasto-plastic Anisotropic Wood Material Model for Finite Solid Element Applications)

  • 홍정표;김철기;이전제;오정권
    • Journal of the Korean Wood Science and Technology
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    • 제42권4호
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    • pp.367-375
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    • 2014
  • 삼차원 솔리드 유한요소 방법을 이용한 목재 거동 해석을 보다 효율적으로 손쉽게 활용하기 위하여, 이에 필요한 목재재료모델 생성 방법을 개발하였다. 2단선형 탄소성이방성 이론에 근거하여 목재의 주요 세 방향 즉, 섬유, 방사 및 접선방향의 구성방정식을 정의하였다. 목재재료상수 결정의 단순화를 위하여 방사방향과 접선방향의 특성을 섬유직각 방향으로 통합하고, 요구되는 총 27개의 재료입력상수를 방향별 탄성계수와 항복응력, 그리고 프와송 비를 포함하는 6개의 독립상수로 단순화하였다. 개발된 목재재료모델을 이용하여 북미 더글라스 퍼 압축시험에 대한 삼차원 유한요소 모델을 개발하고 주요 세 방향에 대한 실험 측정치들과 시뮬레이션 결과를 비교하였다. 성공적인 모델해석 결과를 얻었으며, 이를 바탕으로 향후 진척되어야 할 연구개발 방향과 예상되는 문제점들을 논의하였다.

자동차용 모터케이스 성형용 멀티포머의 공정개선에 관한 유한요소해석 (Finite Element Analysis on Process Improvement of the Multi-Forming for the Motor-Case of an Automobile)

  • 김형진;배원병;조종래
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2005년도 춘계학술대회 논문집
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    • pp.467-470
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    • 2005
  • There are about 10 motors for tile actuator of the automation system in an auto-mobile recently. The performance of the motor-case is much related to the noise and the vibration of an auto-mobile Multi-Forming process is so much the better than existing deep-drawing or Multi-step forming by press by less cost, installation and staff. But there isn't the specific and general process design, so we aren't good at competition. So in the first step, I want to study about the core design for the multi-forming process. We can access by the elasto-plastic theory and the finite element method, and we use a commercial package of the Deform-2D and, Deform-3D which is based on three-dimensional elasto-plastic finite element, evaluated propriety oi the package. The evaluation of the package propriety was simulated by simple bending example. It was found the elasto-plastic theory was mostly in agreement with the simulation. We proposed that three type of section for the core and analyzed by finite element method (Deform-2D). We can get the best result with the ellipse type core. Then we apply the result of the preceding analysis to the finite element method (Deform-3D). In 3D-finite element analysis, we can get the result of 8/100mm-roundness. This result can help the improvement of the multi-forming process.

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金型의 모서리부 形狀이 熱應力分布에 미치는 影響 (The effect of corner shape in the casting mould on thermal stresses distribution)

  • 민수홍;구본권;김옥삼
    • 대한기계학회논문집
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    • 제15권2호
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    • pp.567-574
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    • 1991
  • In this study thermal stress generated in three ingot moulds(GC25) during the solidification process of aluminum were analyzed by the two-dimensional thermo-elasto-plastic theory. In temperature analysis, all of the three models are shown steep temperature rising each case in initial stage of cooling. In thermal stress analysis, all of three models took compressible stress on inside wall of the mould, and tensible along with on out side. Model 2 take place less compressible, tensible stress then model 1. But model 3. have similar as thermal stress as model 2. The analysis will made one possible to calculate an optimum mould shape whose thermal stress gradient becomes minimum.

횡하중(橫荷重)을 받는 선각판(船殼板)의 비선형(非線形) 해석(解析) (Nonlinear Analysis of Ship Plating under Lateral Loads.)

  • 임상전;양영순
    • 대한조선학회지
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    • 제17권1호
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    • pp.1-10
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    • 1980
  • The nonlinear analysis of ship plating with flat bar stiffners has been carried out by the finite element method based on the load incremental approach. The large deflection analysis has been done by using the Lagrangian description. The elastoplastic analysis has been performed by adopting the flow theory of plasticity and the von Mises yield condition. The layered elements are used to show the process of yielding through the plate thickness in the elasto-plastic analysis. The following results are obtained; 1) According to the large deflection analysis, it is shown that the small deflection theory to the plate is applicable in the range of the lateral deflection-the thickness ratio $w/h{\leqq}0.3$ and ship plating in the range of $w/h{\leqq}0.5$. 2) By means of the elasto-plastic analysis, it is found that the maximum load-carrying capacity of the plate increases as much as 1.8 times of the initial yield load in the case of the simply supported condition and 2.2 times in the clamped condition. It is also shown that the maximum load-carrying capacity of ship plating increase as much as 4.3 times in the simply supported condition and 4.2 times in the clamped condition. This method would be applied and extended to solve combined nonlinear problems which involve both material nonlinearity and geometric nonlinearity.

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파괴역학을 이용한 차륜과 레일의 마모에 관한 연구 (A Study on the Wear of Rail by Fracture Mechanics)

  • 구병춘
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 1998년도 창립기념 춘계학술대회 논문집
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    • pp.315-322
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    • 1998
  • A two dimensional elasto-plastic finite element program taking into account contact between crack surfaces if developed in order to analyze subsurface cracking in rolling contact. But the friction between upper and lower surface of the crack is not considered. Under the assumptions of small deformation and small displacement, the incremental theory of plasticity is used to describe plastic deformation. J-integral is computed as the applied Hertzian load slides over the surface with friction. J-integral is correlated with wear rate of the rail. The propagation rate of the right tip of the surface crack is fast by 45% than that of the left side.

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