• 제목/요약/키워드: Elastic strain

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주조 알루미늄합금 A356의 저주기 피로특성 및 피로수명 모델 (Low Cycle Fatigue Characteristics of A356 Cast Aluminum Alloy and Fatigue Life Models)

  • 고승기
    • 한국자동차공학회논문집
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    • 제1권1호
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    • pp.131-139
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    • 1993
  • Low cycle fatigue characteristics of cast aluminum alloy A356 with a yield strength and ultimate strength of 229 and 283 MPa respectively was evaluated using smooth axial specimen under strain controlled condition. Reversals to failure ranged from 16 to 107. The cast aluminum alloy exhibited cyclically strain-gardening behavior. The results of low cycle fatigue tests indicated that the conventional low cycle fatigue tests indicated that the conventional low cycle fatigue life model was not a satisfactory representation of the data. This occurred because the elastic strain-life curve was not-log-log linear and this phenomena caused a nonconservative and unsafe fatigue life prediction at both extremes of long and short lives. A linear log-log total strain-life model and a bilinear log-log elastic strain-life model were proposed in order to improve the representation of data compared to the conventional low cycle fatigue life model. Both proposed fatigue life models were statistically analyzed using F tests and successfully satisfied. However, the low cycle fatigue life model generated by the bilinear log-log elastic strain-life equation yielded a discontinuous curve with nonconservatism in the region of discontinuity. Among the models examined, the linear log-log total strain-life model provided the best representation of the low cycle fatigue data. Low cycle fatigue life prediction method based on the local strain approach could conveniently incorporated both proposed fatigue life models.

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나노압입공정 해석에서 재료의 탄소성 특성 도출을 위한 대표변형률의 결정과 Dao의 Reverse 해석의 향상 (Improvement of Dao's Reverse Analysis and Determination of Representative Strain for Extracting Elastic-Plastic Properties of Materials in Analysis of Nanoindentation)

  • 이정민;이찬주;김병민
    • 대한기계학회논문집A
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    • 제32권2호
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    • pp.105-118
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    • 2008
  • The newly developed analysis method for nanoindentation load-displacement curves are focused on not only obtaining elastic modulus and hardness values but also other mechanical properties, such as yield strength and strain hardening properties. Dao et al. developed a forward and reverse algorithm to extract the elasto-plastic properties of materials from the load-displacement curves obtained in nanoindentation test. These algorithms were only applicable for engineering metals (Poisson#s ratio 0.3) using the equivalent conical indenter of the Berkovich. However, the applicable metals are substantially limited because range of used in the finite element analysis is narrow. This study is designed to expand range of the applicable metals in the reverse algorithms established by Dao et al. and to improve the accuracy of that for extracting the elasto-plastic properties of materials. In this study, a representative strain was assumed to vary according to specific range of $E^*/{\sigma}_r$ and was defined as function of $E^*/{\sigma}_r$. Also, an initial unloading slope in reverse algorithms improved in this study was not considered as independent parameters of the load-displacement curves. The mechanical properties of materials for finite element analysis were modeled with the elastic modulus, E, the yield strength, ${\sigma}_y$, and the strain hardening exponents, n. We showed that the representative strain (0.033) suggested by Dao et al. was no longer applicable above the $E^*/{\sigma}_r$ of 400 and depended on values of $E^*/{\sigma}_r$. From these results, we constructed the dimensionless functions, in where the initial unloading slope was not included, for engineering metals up to $E^*/{\sigma}_r$ of 1500. These functions allow us to determine the mechanical properties with greater accuracy than Dao#s study.

UHPCC의 압축응력-변형률 관계에 대한 강섬유 혼입률의 영향 (The Effect of Steel-Fiber Contents on the Compressive Stress-Strain Relation of Ultra High Performance Cementitious Composites (UHPCC))

  • 강수태;류금성
    • 콘크리트학회논문집
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    • 제23권1호
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    • pp.67-75
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    • 2011
  • 이 연구에서는 UHPCC에서 강섬유 혼입률이 압축거동에 미치는 영향에 관한 연구를 수행하였으며, 그 결과로부터 UHPCC에 적용가능한 압축거동 모델을 제시하고자 하였다. 섬유혼입률 0~5 vol.%에 대해 실험을 수행한 결과, 섬유혼입률이 증가함에 따라 압축강도 및 그 때의 극한변형률 및 탄성계수가 증가하는 경향을 확인할 수 있었다. 이와 같은 결과는 100 MPa 이하의 강섬유보강 콘크리트에 대한 기존 연구 결과들과 비교했을 때, 압축강도는 섬유보강효과가 거의 동일한 경향을 나타내는 반면, 극한변형률과 탄성계수에 대한 섬유보강효과는 상대적으로 훨씬 적게 나타났다. 섬유혼입률이 증가함에 따른 UHPCC의 압축강도, 극한변형률 및 탄성계수의 변화를 섬유보강지수(RI)를 이용한 선형관계식으로 표현하였다. UHPCC의 압축거동에 대한 섬유보강효과는 거동의 형상에 전혀 영향을 미치지 않으며, 다만 압축강도와 그 때의 극한변형률 및 탄성계수에 영향을 미치는 점을 고려하여 UHPCC의 압축응력-변형률 관계를 제시하였다.

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.

강섬유보강 고강도콘크리트의 응력-변형률 곡선 및 탄성계수 추정식 평가 (Evaluation of Stress-Strain Relationship and Elastic Modulus Equation of Steel Fiber Reinforced High-Strength Concrete)

  • 장동일;손영현;조광현;김광일
    • 콘크리트학회논문집
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    • 제12권2호
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    • pp.13-20
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    • 2000
  • In this study, the compression test of steel fiber reinforced high-strength concrete have been performed with varying strengths and volume factions of steel fiber. Three types of matrices including low strength concrete( c'=30 MPa), medium strength concrete( c'=50 MPa), and high strength concrete( c'=70 MPa) were selected. Five types of fiber fractions were studied including 0.0%, 0.5%, 0.75%, 1.0%, and 1.5% by volume. From the results of the compressive strength test, the post-peak characteristics of the stress-strain relationship were investigated, and the existing equations to predict the elastic modulus were experimentally evaluated.

Nonlinear and linear thermo-elastic analyses of a functionally graded spherical shell using the Lagrange strain tensor

  • Arefi, Mohammad;Zenkour, Ashraf M.
    • Smart Structures and Systems
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    • 제19권1호
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    • pp.33-38
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    • 2017
  • This research tries to present a nonlinear thermo-elastic solution for a functionally graded spherical shell subjected to mechanical and thermal loads. Geometric nonlinearity is considered using the Lagrange or finite strain tensor. Non-homogeneous material properties are considered based on a power function. Adomian's decomposition method is used for calculation of nonlinear results. Nonlinear results such as displacement can be evaluated for sphere in terms of different indexes of non-homogeneity. A comprehensive comparison between linear and nonlinear results and evaluation of the percentage of difference between them can be performed in this paper. The obtained results indicate that the improvement of the results due to usage of nonlinear analysis is depending on the non-homogeneous index.

탄소성 변형률 기반 내진성능 평가 절차서 개발 방안 (A Plan to Develop Seismic Capacity Verification Procedures Based on the Elastic-Plastic Strain Features)

  • 황종근;정일석;김범식;안상원;방혜진;이민희;정현섭
    • 한국압력기기공학회 논문집
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    • 제14권2호
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    • pp.11-15
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    • 2018
  • A development plan for seismic capacity verification procedures of nuclear components based on the elastic-plastic strain (EPS) features is explained in this paper. The EPS methodology is more realistic to assess seismic responses of components to extreme seismic events beyond the safe shutdown earthquake (SSE) than current practices with the criteria of stress limits. The EPS based approach to analyze the seismic capacity of components can reduce over-conservatism in the current stress-based criteria and can incorporate the seismic responses of components deformed in plastic behavior by the motion of extreme earthquake.

사질토의 전단 하중 재하 시 다축 벤더엘리먼트 시험으로 구한 이방적 전단탄성계수 (Anisotropic Elastic Shear Moduli of Sands Measured by Multi-directional Bender Element Tests in Stress Probe Experiments)

  • 고영주;정영훈;이충현;정충기
    • 대한토목학회논문집
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    • 제28권3C호
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    • pp.159-166
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    • 2008
  • 흙은 변형률에 따라 강성이 감소하는 비선형적 변형 특성을 가지지만, 매우 작은 변형률 영역($<10^{-3}%$)에서는 선형탄성적 특성을 갖는다고 알려져 있다. 본 연구에서는 응력 경로 시험 중 실시한 다축 벤더엘리먼트 시험을 통해 다양한 응력 상태에서 사질토의 이방적 전단탄성계수를 측정하고, 그 변화를 분석하고자 하였다. 응력 경로 시험에서는 내부 변형률 측정 장치 및 3 방향의 벤더 엘리먼트가 부착된 삼축 시험기를 이용하였다. 전단 중 응력비가 -0.5~1.5의 범위를 벗어나게 되면 축 방향 전단탄성계수는 응력과의 경험적 상관관계와 차이가 발생하였고, 이로부터 시료의 항복이 전단파 전달 구조를 변화시킴을 알 수 있었다. 수평방향 전단탄성계수의 변화는 전단 중 체적 상태의 변화와 밀접한 관계가 있음을 알 수 있었다.

균열이 있는 구조물의 형상 최적화 (Shape Optimization of Structures with a Crack)

  • 한석영;송시엽;백춘호
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2001년도 추계학술대회(한국공작기계학회)
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    • pp.298-303
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    • 2001
  • Most of mechanical failures are caused by repeated loadings and therefore they are strongly related to fatigue. To avoid the failures caused by fatigue, determination of an optimal shape of a structure is one of the very important factors in the initial design stage. Shape optimization for a compact tension specimen in opening mode in fracture mechanics, was accomplished by the linear elastic fracture mechanics and the growth-strain method in this study. Also shape optimization for a cantilever beam in mixed mode was carried out by the same techniques. The linear elastic fracture mechanics was used to estimate stress intensity factors and fatigue lives. And the growth-strain method was used to optimize the shape of the initial shape of the specimens. From the results of the shape optimization, it was found that shapes of two types of specimens and a cantilever beam optimized by the growth-strain method prolong their fatigue lives very much. Therefore, it was verified that the growth-strain method is an appropriate technique for shape optimization of a structure having a crack.

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스플릿 흡킨슨 바(SHPB)를 이용한 이방성 화강암의 동적파괴거동 연구 (A Study on dynamic Fracturing Behavior of Anisotropic Granite by SHPB Test)

  • 최미진;조상호;양형식
    • 터널과지하공간
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    • 제18권3호
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    • pp.214-218
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    • 2008
  • 본 연구에서는 SHPB(Split Hopkinson Pressure Bar)를 이용하여 변형률 속도에 따른 이방성 화강암의 동적파괴 과정을 조사하였다. 실험결과 변형률 속도가 증가할수록 에너지 흡수량 및 최대응력이 증가하였다. 최대응력은 모든 방향에서 변형률 속도에 의존적이나 역학적 이방성에 민감하지는 않았다. 변형률 속도가 증가할수록 탄성파속도가 많이 감쇠되고, 모든 방향에서 변형률 속도에 의존적이며 강한 암석일수록 감쇠가 빠르게 일어났다.