• 제목/요약/키워드: Strain rate theory

검색결과 131건 처리시간 0.02초

변형율 속도를 고려한 소성불안정 조건을 이용한 성형한계선도의 예측 (Prediction of Forming Limit Diagram Using Plastic Instability Condition Considered Strain Rate.)

  • 한규택;강대민;김진욱;백남주
    • 한국안전학회지
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    • 제5권2호
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    • pp.58-65
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    • 1990
  • The purpose of this study is to consider the effects of strain rate on the stress-strain behavior of sheet metal at instability. The results and conclusions obtained as follows : 1. As the strain rate increases, the fracture pressure increases and the polar height at fracture decreases. 2. The effect of strain rate on forming limit diagram produces a general lowering of the diagram with increasing strain rate but changes according to materials and strain paths. 3. The forming limit diagram predicted by swift instability theory is comparatively inconsistent with the experimental result at high strain rates, because there is inevitable gap between them.

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유리섬유 강화 열가소성 복합재료의 응력-변형률 관계 (The Stress-strain Relationship of Glass Fiber Reinforced Thermoplastic Composite)

  • 이중희
    • 한국자동차공학회논문집
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    • 제4권5호
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    • pp.206-214
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    • 1996
  • Because of the wide variety of the composite materials, inherent variability in properties, and complex temperature and strain rate dependence, large strain behavior of these materials has not been well characterized. Large strain behavior under uniaxial tension is characterized over a range of temperatures and strain rates, and a modified simple linear viscoelastic model is fit to the observed data. Of particular importance is the strain rate and temperature dependence of these composites, and it is the primary focus of this study. The strain rate and temperature dependence is then used to predict limiting tensile strains, based on Marciniak imperfection theory. Excellent correlation was obtained between model and experiment and the results are summarized in maps of forming limit as a function of strain rate and temperature.

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소성 변형률 포텐셜에 기초한 성형 한계도의 정식화 (Formulation of forming limit diagram based on strain-rate potential)

  • 김대용;정관수;김기주
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2004년도 추계학술대회논문집
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    • pp.156-159
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    • 2004
  • Most formulations for a forming limit diagram (FLD) have been based on yield stress potentials defined in the stress field. Nevertheless, there are formulations where potentials defined in the stain-rate field are especially convenient to formulate the rigid plastic material. Based on a strain-rate potential proposed for materials exhibiting planar anisotropic, the formulations for the forming limit diagram has been developed applying M-K theory. As verification example, the formulation is applied for anisotropic AA5182-O sheet. The good verification results show that the formulation for the forming limit diagram has been successfully developed.

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일정변형률 압밀시험에 따른 이암풍화토의 압밀특성 (A Consolidation Characteristics of Decomposed Mudstone Soil by Constant Rate of Strain Consolidation)

  • 김영수;김기영;김대만
    • 한국지반공학회논문집
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    • 제16권1호
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    • pp.99-106
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    • 2000
  • 기존의 Oedometer 시험은 간단한 시험장치의 편리함으로 인해 널리 이용되어 왔다. 그러나 이 방법은 장시간의 시험기간, 각 단계 하중에서의 불규칙적인 응력상태, 매우 연약한 점토에 대한 시험의 어려움 및 시료의 포화문제와 같은 여러 문제점을 노출하게 되었다. 따라서 이런 단점을 보완 할 수 있는 시험 방법의 하나로 일정 변형률 압밀시험 이 개발되어 널리 이용되고 있다. 본 논문에서는 세가지 변형률을 이용한 CRS시험을 실시하였으며, 이 결과를 수정된 Wissa(1971)의 비선형 이론을 이용해 해석하고, 기존의 Oedometer시험 및 직접투수시험과 비교분석함으로서 CRS시험의 효율성 및 적용성 유무를 판단하고자 한다.

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Strain Rate Dependent Poroelastic Behavior of Bovine Vertebral Trabecular Bone

  • Hong, Jung-Hwa;Mum, Mu-Seong;Lim, Tae-Hong
    • Journal of Mechanical Science and Technology
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    • 제15권7호
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    • pp.1032-1040
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    • 2001
  • It is widely accepted that the pressure variation of interstitial fluid is one of the most important factors in bone physiology. In order to understand the role of interstitial fluid on porous bony structure, a consideration for the biomechanical interactions between fluid and solid constituents within bone is required. In this study, a poroelastic theory was applied to investigate the elastic behavior of calf vertebral trabecular bone composed of the porous solid trabeculae and the viscous bone marrow. The poroelastic behavior of trabecular bone in a uniaxial stress condition was simulated using a commercial finite difference analysis software (FLAC, Itasca Consulting Group, USA), and tested for 5 different strain rates, i.e., 0.001, 0.01, 0.1, and 10 per second. The material properties of the calf vertebral trabecular bone were utilized from the previous experimental study. Two asymptotic poroelastic responses, the drained and undrained deformations, were predicted. From the predicted results for the simulated five strain rates, it was found that the pore pressure generation has a linearly increasing behavior when the strain rate is the highest at 10 per second, otherwise it showed a nonlinear behavior. The pore pressure generation with respect to the strain was found to be increased as the strain rate increased. The elastic moduli predicted at each strain were 208.3, 212.2, 337.6, 593.1, and 602.2 MPa, respectively. Based on the results of the present study, it was suggested that the calf vertebral trabecular bone could be modeled as a poroelastic material and its strain rate dependent material behavior could be predicted.

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Structural response analysis in time and frequency domain considering both ductility and strain rate effects under uniform and multiple-support earthquake excitations

  • Liu, Guohuan;Lian, Jijian;Liang, Chao;Zhao, Mi
    • Earthquakes and Structures
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    • 제10권5호
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    • pp.989-1012
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    • 2016
  • The structural dynamic behavior and yield strength considering both ductility and strain rate effects are analyzed in this article. For the single-degree-of-freedom (SDOF) system, the relationship between the relative velocity and the strain rate response is deduced and the strain rate spectrum is presented. The ductility factor can be incorporated into the strain rate spectrum conveniently based on the constant-ductility velocity response spectrum. With the application of strain rate spectrum, it is convenient to consider the ductility and strain rate effects in engineering practice. The modal combination method, i.e., square root of the sum of the squares (SRSS) method, is employed to calculate the maximum strain rate of the elastoplastic multiple-degree-of-freedom (MDOF) system under uniform excitation. Considering the spatially varying ground motions, a new response spectrum method is developed by incorporating the ductility factor and strain rate into the conventional response spectrum method. In order to further analyze the effects of strain rate and ductility on structural dynamic behavior and yield strength, the cantilever beam (one-dimensional) and the triangular element (two-dimensional) are taken as numerical examples to calculate their seismic responses in time domain. Numerical results show that the permanent displacements with and without considering the strain rate effect are significantly different from each other. It is not only necessary in theory but also significant in engineering practice to take the ductility and strain rate effects into consideration.

알루미늄 합금 박판 스탬핑 공정의 단면 성형 해석 (Sectonal Forming Analysis of Stamping Processes of Aluminum Alloy Sheet Metals)

  • 이광병;이승열;금영탁
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1996년도 추계학술대회논문집
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    • pp.38-47
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    • 1996
  • Sectional analysis program for plane strain or axisymmetric geometry of aluminum alloy sheet metals was developed. For modeling the anomalous behavior of aluminum alloy, Barlat's strain rate potential and Hill's 1990 non-quadratic yield theory arranged under the plane stress assumption were employed. 2-D rigid-viscoplastic FEM formulation based on the bending-augmented membrane theory was derived, solving simultaneously force equilibrium as well as non-penetration condition. Isotropic hardening law was also assumed for yielding behavior. To verify the validity and availability of the developed program, 2-D stretch/draw forming process for plane strain geometry and cylindrical cup deep drawing process for axisymmetric geometry were simulated.

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적층복합재의 자유단 박리에 대한 모드별 스트레인 에너지해방률의 간이계산법 (A Simplified Method for Determining Modal Strain Energy Release Rate of Free-Edge Delaminations in Laminated Composite)

  • 김택현;오택열;김인권
    • 대한기계학회논문집A
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    • 제21권3호
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    • pp.423-429
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    • 1997
  • A simplified method for determining the mode components of the strain energy release rate of free-edge delaminations in laminated composite is proposed. The interlaminar stresses are evaluated as an interface moment and interface shear forces that are obtained from the equilibrium equations at the interface between the adjacent layers. Deformation of an edge-delaminated laminate is calculated by using a generalized quasi-three dimensional classical laminated plate theory developed by the authors. The analysis provides closed-form expression for the three components of the strain energy release rate. Comparison of results with a finite element solution using the virtual crack closure technique shows good agreement. In the present study, laminated composite with stacking sequences of [30/-30/90]$_{s}$ were examined. The simple nature of the method makes it suitable for primary design analysis for the delaminations of laminated composite.e.

Compressive behavior of concrete under high strain rates after freeze-thaw cycles

  • Chen, Xudong;Chen, Chen;Liu, Zhiheng;Lu, Jun;Fan, Xiangqian
    • Computers and Concrete
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    • 제21권2호
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    • pp.209-217
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    • 2018
  • The dynamic compressive behavior of concrete after freezing and thawing tests are investigated by using the split Hopkinson pressure bar (SHPB) technique. The stress-strain curves of concrete under dynamic loading are measured and analyzed. The setting numbers of freeze-thaw cycles are 0, 25, 50, and 75 cycles. Test results show that the dynamic strength decreases and peak strain increases with the increasing of freeze-thaw cycles. Based on the Weibull distribution model, statistical damage constitutive model for dynamic stress-strain response of concrete after freeze-thaw cycles was proposed. At last, the fragmentation test of concrete subjected to dynamic loading and freeze-thaw cycles is carried out using sieving statistics. The distributions of the fragment sizes are analyzed based on fractal theory. The fractal dimensions of concrete increase with the increasing of both freeze-thaw cycle and strain rate. The relations among the fractal dimension, strain rates and freeze-thawing cycles are developed.

Rate-sensitive analysis of framed structures Part I: model formulation and verification

  • Izzuddin, B.A.;Fang, Q.
    • Structural Engineering and Mechanics
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    • 제5권3호
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    • pp.221-237
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    • 1997
  • This paper presents a new uniaxial material model for rate-sensitive analysis addressing both the transient and steady-state responses. The new model adopts visco-plastic theory for the rate-sensitive response, and employs a three-parameter representation of the overstress as a function of the strain-rate. The third parameter is introduced in the new model to control its transient response characteristics, and to provide flexibility in fitting test data on the variation of overstress with strain-rate. Since the governing visco-plastic differential equation cannot be integrated analytically due to its inherent nonlinearity, a new single-step numerical integration procedure is proposed, which leads to high levels of accuracy almost independent of the size of the integration time-step. The new model is implemented within the nonlinear analysis program ADAPTIC, which is used to provide several verification examples and comparison with other experimental and numerical results. The companion paper extends the three-parameter model to trilinear static stress-strain relationships for steel and concrete, and presents application examples of the proposed models.