• 제목/요약/키워드: elastic critical load

검색결과 207건 처리시간 0.03초

초기재령 콘크리트의 파괴 특성 (Fracture Characteristics of Concrete at Early Ages)

  • 이윤;김진근
    • 콘크리트학회논문집
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    • 제14권1호
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    • pp.58-66
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    • 2002
  • 본 연구의 목적은 유효탄성균열모델과 점성균열모델의 개념에 기초한 임계응력확대계수, 임계균열단개구변위와 파괴에너지, 이선형 연화 곡선같은 콘크리트의 파괴특성들을 초기재령 콘크리트에 관해 구명하는 것이다. 이를 위해 모드 I의 파괴를 일으킬 수 있는 쐐기쪼갬시험이 노치가 있는 육각형의 쐐기 시험체에 대하여 수행되었다. 강도와 재령의 변화에 따라 하중-균열입구변위 곡선이 얻어졌으며, 이것은 선형탄성 파괴역학과 유한요소법에 의해 분석되었다. 실험 결과를 분석한 결과, 재령 1일부터 재령 28일까지의 임계응력확대계수와 파괴에너지는 증가하였으며, 임계균열단개구변위는 감소하였다. 또한 수치해석을 통하여 재령 1일부터 재령 28일까지의 이선형 연화 곡선의 네 파라미터를 구할 수 있었다. 이렇게 얻어진 초개재령 콘크리트의 파괴특성치와 이선형 연화 곡선은 초기재령 콘크리트의 파괴 기준과 유한요소해석시의 입력 상수로서 사용될 수 있을 것이다.

Time-dependent buckling analysis of SiO2 nanoparticles reinforced concrete columns exposed to fire

  • Bidgoli, M. Rabani;Saeidifar, M.
    • Computers and Concrete
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    • 제20권2호
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    • pp.119-127
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    • 2017
  • Time-dependent buckling of embedded straight concrete columns armed with Silicon dioxide($SiO_2$) nano-particles exposed to fire is investigated in the present study for the fire time. The column is simulated mathematically with Timoshenko beam model. The governing mass conservation equations to describe heat and moisture transport in concrete containing free water, water vapor, and dry air in conjunction with the conversion of energy are considered. The characteristics of the equivalent composite are determined using Mori-Tanaka approach. The foundation around the column is simulated with spring and shear layer. Employing nonlinear strains-displacements, energy methods and Hamilton's principal, the governing equations are derived. Differential quadrature method (DQM) is used in order to obtain the critical buckling load and critical buckling time of structure. The influences of volume percent of $SiO_2nano-particles$, geometrical parameters, elastic foundation and concrete porosity are investigated on the time-dependent buckling behaviours of structure. Numerical results indicate that reinforcing the concrete column with $SiO_2nano-particles$, the structure becomes stiffer and the critical buckling load and time increase.

Buckling behavior of strengthened perforated plates under shear loading

  • Cheng, Bin;Li, Chun
    • Steel and Composite Structures
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    • 제13권4호
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    • pp.367-382
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    • 2012
  • This paper is dedicated to the buckling behaviors of strengthened perforated plates under edge shear loading, which is a typical load pattern of steel plates in civil engineering, especially in plate and box girders. The square plates considered each has a centric circular hole and is simply supported on four edges in the out-of-plane direction. Three types of strengthening stiffeners named ringed stiffener (RS), flat stiffener (FSA and FSB) and strip stiffener (SSA, SSB and SSC) are mainly discussed. The finite element method (FEM) has been employed to analyse the elastic and elasto-plastic buckling behavior of unstrengthened and strengthened perforated plates. Results show that most of the strengthened perforated plates behave higher buckling strengths than the unstrengthened ones, while the enhancements in elastic buckling stress and elasto-plastic ultimate strength are closely related to stiffener types as well as plate geometric parameters including plate slenderness ratio and hole diameter to plate width ratio. The critical slenderness ratios of shear loaded strengthened perforated plates, which determine the practical buckling pattern (i.e., elastic or elasto-plastic buckling) of the plates, are also studied. Based on the contrastive analyses of strengthening efficiency considering the influence of stiffener consumption, the most efficient cutout-strengthening methods for shear loaded perforated square plates with different slenderness ratios and circular hole diameter to plate width ratios are preliminarily identified.

Novel quasi 3D theory for mechanical responses of FG-CNTs reinforced composite nanoplates

  • Alazwari, Mashhour A.;Daikh, Ahmed Amine;Eltaher, Mohamed A.
    • Advances in nano research
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    • 제12권2호
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    • pp.117-137
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    • 2022
  • Effect of thickness stretching on free vibration, bending and buckling behavior of carbon nanotubes reinforced composite (CNTRC) laminated nanoplates rested on new variable elastic foundation is investigated in this paper using a developed four-unknown quasi-3D higher-order shear deformation theory (HSDT). The key feature of this theoretical formulation is that, in addition to considering the thickness stretching effect, the number of unknowns of the displacement field is reduced to four, and which is more than five in the other models. Two new forms of CNTs reinforcement distribution are proposed and analyzed based on cosine functions. By considering the higher-order nonlocal strain gradient theory, microstructure and length scale influences are included. Variational method is developed to derive the governing equation and Galerkin method is employed to derive an analytical solution of governing equilibrium equations. Two-dimensional variable Winkler elastic foundation is suggested in this study for the first time. A parametric study is executed to determine the impact of the reinforcement patterns, nonlocal parameter, length scale parameter, side-t-thickness ratio and aspect ratio, elastic foundation and various boundary conditions on bending, buckling and free vibration responses of the CNTRC plate.

중앙부와 모서리부 다축 차량 하중에 의한 콘크리트 도로포장의 응력 상관관계 (Relationship between Concrete Pavement Stresses under Multi-Axle Interior and Edge Loads)

  • 김성민;조병휘;류성우
    • 한국도로학회논문집
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    • 제8권3호
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    • pp.143-153
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    • 2006
  • 본 연구는 콘크리트 도로 포장에 복륜 단축, 복륜 복축, 복륜 삼축 등 복륜 다축 하중이 포장의 중앙부와 모서리부에 작용할 때 포장의 응력 분포 및 최대 응력의 차이를 분석하고 이러한 응력의 차이가 콘크리트 탄성계수, 슬래브 두께, 그리고 지반 탄성계수에 따라 어떠한 특성을 갖는지를 분석하기 위하여 수행되었다. 변환영역에서의 해석법을 이용하여 중앙부 하중에 의한 응력을 구하였으며 유한요소법을 이용하여 모서리부 하중에 의한 응력을 구하였다. 여러 가지 변수에 대하여 중앙부 하중에 의한 최대 응력과 모서리부 하중에 의한 최대 응력을 비교하였으며 이러한 최대 응력 비율을 예측할 수 있는 공식을 개발하였다. 이러한 공식을 이용하여 중앙부 하중에 의한 최대 응력에서 모서리부 하중에 의한 최대 응력을 예측하여 최대 응력 비율 예측 공식의 정확성을 검증하였다. 연구결과 중앙부와 모서리부 하중에 의한 콘크리트 포장의 최대 응력 변화 경향은 매우 비슷하였으며 종방향 상의 최대 응력 발생 위치는 일치하였다. 모서리부 하중에 의한 최대 응력을 중앙부 하중에 의한 최대 응력으로 나눈 최대 응력 비율은 하중 축 수가 많아질수록 감소하며, 콘크리트 탄성계수가 증가, 슬래브 두께가 증가, 지반 탄성 계수가 감소, 그리고 하중 접지압이 증가할수록 커지게 된다.

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철도차량 대차를 피로균열 평가법 연구 (A Study on the Fatigue Crack Evaluation Method of Railway Bogie Frame)

  • 전현규;서정원;이동형;김형진
    • 한국철도학회논문집
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    • 제12권1호
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    • pp.16-24
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    • 2009
  • 선형탄성파괴역학을 적용하여 균열이 발생한 변동하중하의 철도차량 대차틀에 대한 균열성장속도를 예측하였다. 이를 위하여 철도차량 대차틀의 균열발생사례를 분석하여 취약부위를 파악하였으며, 영업노선에서의 실동하중 측정과 구조해석을 통한 정하중 계산으로 대차틀 취약부에서 운행 중 받는 총 하중이력을 생성하였다. 총 하중이력에서 균열닫힘을 고려한 유효하중이력을 계산하였으며, 취약부 3곳에서 균열성장속도를 예측하고 일본에서 측정한 균열진전 사례와 비교하였다. 해석결과 초기길이 40mm의 균열이 급속한 균열성장을 일으키기까지는 약 50만km의 주행거리가 필요하며 이는 약 3.8년의 운행기간에 해당하므로 도시철도의 유지보수기간을 고려하면 임계균열로 도달하기 전에 충분히 감지할 수 있을 것으로 생각된다.

The surface stress effects on the buckling analysis of porous microcomposite annular sandwich plate based on HSDT using Ritz method

  • Mohsen Emdadi;Mehdi Mohammadimehr;Borhan Rousta Navi
    • Computers and Concrete
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    • 제32권5호
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    • pp.439-454
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    • 2023
  • In this article, the surface stress effects on the buckling analysis of the annular sandwich plate is developed. The proposed plate is composed of two face layers made of carbon nanotubes (CNT) reinforced composite with assuming of fully bonded to functionally graded porous core. The generalized rule of the mixture is employed to predict the mechanical properties of the microcomposite sandwich plate. The derived potentials energy based on higher order shear deformation theory (HSDT) and modified couple stress theory (MCST) is solved by employing the Ritz method. An exact analytical solution is presented to calculate the critical buckling loads of the annular sandwich plate. The predicted results are validated by carrying out the comparison studies for the buckling analysis of annular plates with those obtained by other analytical and finite element methods. The effects of various parameters such as material length scale parameter, core thickness to total thickness ratio (hc/h), surface elastic constants based on surface stress effect, various boundary condition and porosity distributions, size of the internal pores (e0), Skempton coefficient and elastic foundation on the critical buckling load have been studied. The results can be served as benchmark data for future works and also in the design of materials science, injunction high-pressure micropipe connections, nanotechnology, and smart systems.

Stability and minimum bracing for stepped columns with semirigid connections: Classical elastic approach

  • Aristizabal-Ochoa, J. Dario
    • Structural Engineering and Mechanics
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    • 제5권4호
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    • pp.415-431
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    • 1997
  • Stability equations that evaluate the elastic critical axial load of stepped columns under extreme and intermediate concentrated axial loads in any type of construction with sidesway totally inhibited, partially inhibited and uninhibited are derived in a classical manner. These equations can be utilized in the stability analysis of framed structures (totally braced, partially braced, and unbraced) with stepped columns with rigid, semirigid, and simple connetions. The proposed column classification and the corresponding stability equations overcome the limitations of current methods which are based on a classification of braced and unbraced columns. The proposed stability equations include the effects of: 1) semirigid connections; 2) step variation in the column cross section at the point of application of the intermediate axial load; and 3) lateral and rotational restraints at the intermediate connection and at the column ends. The proposed method consists in determining the eigenvalue of a $2{\times}2$ matrix for a braced column at the two ends and of a $3{\times}3$ matrix for a partially braced or unbraced column. The stability analysis can be carried out directly with the help of a pocket calculator. The proposed method is general and can be extended to multi-stepped columns. Various examples are include to demonstrate the effectiveness of the proposed method and to verify that the calculated results are exact. Definite minimum bracing criteria for single stepped columns is also presented.

탄소성 파괴 인성과 파괴변형률에 관한 연구 (A Study on the Relations Between Fracture Strain and Elastic-Plastic Fracture Toughness)

  • 임만배;최재강
    • 한국산업안전학회:학술대회논문집
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    • 한국안전학회 1998년도 춘계 학술논문발표회 논문집
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    • pp.89-97
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    • 1998
  • In this study, under large scale yielding conditions crack propagation is found to governed by parameters based on the J-integral or on the crack opening displacement. But initiation of crack propagation of ductile material seems to be controlled by just on parameter that is the strain. The relationship between the critical value of J-integral and the local fracture strain in uniaxial tensile test in the region of maximum reduction in area. Therefore, the fundamental theorectical equation by the proposed elastic-plastic fracture toughness and the local fracture strain has a merit. in comparison with the ASTM method, which can measure by using the load-displacement curve and the specimens in tenslie test.

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탄소성파괴인성과 파괴변형률에 관한 연구 (A Study on the Relations Between Fracture Strain and Elastic-Plastic Fracture Toughness)

  • 최재강;임만배
    • 한국안전학회지
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    • 제13권4호
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    • pp.25-33
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    • 1998
  • In this study, under large scale yielding conditions crack propagation is found to governed by parameters based on the J-integral or on the crack opening displacement. But initiation of crack propagation of ductile material seems to be controlled by just on parameter that is the strain. The relationship between the critical value of J-integral and the local fracture strain in uniaxial tensile test in the region of maximum reduction in area. Therefore, the fundamental theoretical equation by the proposed elastic-plastic fracture toughness and the local fracture strain has a merit, in comparison with the ASTM method, which can measure by using the load-displacement curve and the specimens in tensile test.

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