• 제목/요약/키워드: constitutive relationship

검색결과 177건 처리시간 0.023초

동일 충격 에너지 조건하에서 다공질 고분자의 충격거동에 관한 연구 (Crashworthy behaviour of cellular polymer under constant impact energy)

  • 정광영;전성식
    • Composites Research
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    • 제22권4호
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    • pp.27-32
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    • 2009
  • 본 연구에서는 충돌속도가 다르지만, 총 충돌에너지는 동일하게 유지한 상태에서 충돌을 가했을 때 발포 고분자의 응력-변형률 관계와 충돌에너지 흡수 특성에 관하여 고찰하였다. 이는 충돌시 관성과 변형률 속도에 변화를 주어 재료의 반응거동 및 특성을 파악하기 위함이다. 두가지 다른 밀도(64 $kg/m^3$, 89 $kg/m^3$)를 갖는 발포고분자시편에 대한 준정적시험과 충돌시험이 수행되었다. 또한 Sherwood-Frost 모델과 임펄스 모멘텀 이론의 두가지가 연성된 방정식을이용하여 발포고분자의 구성방정식으로 제안하였다.\ 제안된 구성방정식을 이용하여, 응력변형률 선도를 구하고, 충돌시험결과와 비교하여, 본 구성방정식이 우수하게 결과를 예측할 수 있는 것으로 나타났다.

원심모형시험에 의한 편심하중을 받는 얕은기초의 거동 (The Behavior of Shallow Foundation under Eccentric Loads by Centrifuge Model Experiment)

  • 유남재;이명욱;박병수;정길수
    • 산업기술연구
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    • 제22권A호
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    • pp.229-240
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    • 2002
  • This paper is an experimental and numerical work of Investigating the bearing capacity of shallow foundation of rubble mound under eccentric loads. Parametric centrifuge model tests at the 50g level environments with the model footings in the form of strip footing were performed by changing the loading location of model footing, relative density and materials for ground foundation. For the model ground, crushed rock sampled from a rocky mountain was prepared with a grain size distribution of having an identical coefficient of uniformity to the field condition. Model ground was also prepared with relative densities of 50 % and 80 %. For loading condition, model tests with and without eccentric load were carned out to investigate the effect of eccentric loads and a numerical analysis with the commertially available software of FLAC was performed. For numerical estimation with FLAC, the hyperbolic model of a nonlinear elastic constitutive relationship was used to simulate the stress-stram constitutive relationship of model ground and a series of triaxial compression test were carried out to find the parameters for this model Test results were analyzed and compared with Meyerhof method (1963), effective area method based on the limit equilibrium method, and a numerical analysis with FLAC.

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Constitutive model for ratcheting behavior of Z2CND18.12N austenitic stainless steel under non-symmetric cyclic stress based on BP neural network

  • Wang, Xingang;Chen, Xiaohui;Yan, Mingming;Chang, Miaoxin
    • Steel and Composite Structures
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    • 제28권5호
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    • pp.517-525
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    • 2018
  • The specimens made by Z2CND18.12N austenitic stainless steel were conducted on a 100 kN closed loop servo hydraulic tension-compression testing machine with a digital controller. Uniaxial tension and uniaxial ratcheting effect tests were carried out at $25^{\circ}C$. Moreover, Uniaxial tension tests were conducted at $150^{\circ}C$, $250^{\circ}C$ and $350^{\circ}C$. Based on these experimental data, the prediction models of stress-strain curve and the relationship of ratcheting strain and number of cycles were established by the algorithm principle of BP neural network. The results indicated that the predicted results of neural network model were in well agreement with experimental data. It was found that the BP neural network model had high validity and accuracy.

Steel fibre reinforced concrete for elements failing in bending and in shear

  • Barros, Joaquim A.O.;Lourenco, Lucio A.P.;Soltanzadeh, Fatemeh;Taheri, Mahsa
    • Advances in concrete construction
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    • 제1권1호
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    • pp.1-27
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    • 2013
  • Discrete steel fibres can increase significantly the bending and the shear resistance of concrete structural elements when Steel Fibre Reinforced Concrete (SFRC) is designed in such a way that fibre reinforcing mechanisms are optimized. To assess the fibre reinforcement effectiveness in shallow structural elements failing in bending and in shear, experimental and numerical research were performed. Uniaxial compression and bending tests were executed to derive the constitutive laws of the developed SFRC. Using a cross-section layered model and the material constitutive laws, the deformational behaviour of structural elements failing in bending was predicted from the moment-curvature relationship of the representative cross sections. To evaluate the influence of the percentage of fibres on the shear resistance of shallow structures, three point bending tests with shallow beams were performed. The applicability of the formulation proposed by RILEM TC 162-TDF for the prediction of the shear resistance of SFRC elements was evaluated. Inverse analysis was adopted to determine indirectly the values of the fracture mode I parameters of the developed SFRC. With these values, and using a softening diagram for modelling the crack shear softening behaviour, the response of the SFRC beams failing in shear was predicted.

Mechanical damage evolution and a statistical damage constitutive model for water-weak sandstone and mudstone

  • Lu yuan Wu;Fei Ding;Jian hui Li;Wei Qiao
    • Geomechanics and Engineering
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    • 제38권1호
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    • pp.45-56
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    • 2024
  • The weakening effect of water on rocks is one of the main factors inducing deformation and failure in rock engineering. To clarify this weakening effect, immersion tests and post-immersion triaxial compression tests were conducted on sandstone and mudstone. The results showed that the strength of water-immersed sandstone decreases with increasing immersion time, exhibiting an exponential relationship. Similarly, the strength of water-immersed mudstone decreases with increasing environmental humidity, also following an exponential relationship. Subsequently, a statistical damage model for water-weakened rocks was proposed, changes in elastic modulus to describe the weakening effect of water. The model effectively simulated the stress-strain relationships of water-affected sandstone and mudstone under compression. The R2 values between the theoretical and experimental peak values ranged from 0.962 to 0.996, and the MAPE values fell between 3.589% and 9.166%, demonstrating the model's effectiveness and reliability. The damage process of water-saturated rocks corresponds to five stages: compaction stage - no damage, elastic stage - minor damage, crack development stage - rapid damage increase, post-peak residual stage - continuous damage increase, and sliding stage - damage completion. This study provides a foundational reference for researching the fracture characteristics of overlying strata during coal mining under complex hydrogeological conditions.

불포화토에 대한 반복삼축압축시험의 요소시뮬레이션을 위한 응력-변형율 관계의 수립 (Inducing stress-strain relationship for element simulation of cyclic triaxial test on unsaturated soil)

  • 이충원
    • 한국산학기술학회논문지
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    • 제16권8호
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    • pp.5654-5663
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    • 2015
  • 부(-)의 간극수압으로서 불포화토 내에 작용하는 석션은 입자간 응력을 증가시키며, 이에 따라 토립자 골격의 항복응력 및 소성전단강성을 증대시키는 등, 불포화토의 역학적 특성에 지대한 영향을 미친다. 따라서, 본 연구에서는 이러한 석션의 효과를 지진 등의 동적 하중조건에서 고려하기 위하여 불포화토에 대해 확장된 반복탄소성구성식에 근거한 응력-변형율 관계를 제 1 항복함수 및 제 2 항복함수를 고려하여 유도하였다. 본 관계를 2차원 및 3차원 수치해석에서 액상화 이후의 압밀거동 예측 등에 적용하는 경우에는 평균골격응력(Mean skeleton stress)의 변화를 반영하는 제 2 항복함수의 도입이 필요하나, 요소시뮬레이션에서는 제 1 항복함수만으로도 수치해석을 위한 각 물성치 및 석션 파라미터 결정이 가능할 것으로 사료된다. 본 관계와 응력반전을 반영한 반복재하 루틴을 함께 코딩(Coding)할 경우 불포화조건 하에서의 반복삼축압축시험에 대한 수치해석적 모사가 가능할 것으로 보이며, 본 연구결과는 동적 하중이 작용하는 불포화토 거동 예측의 정확도 제고에 기여할 것으로 전망된다.

강섬유 보강 콘크리트 보의 휨 해석 (Flexural Analysis of Steel Fiber Rreinforced Concrete Beam)

  • 이차돈
    • 전산구조공학
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    • 제3권4호
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    • pp.113-122
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    • 1990
  • SFRC보의 휨 거동에 대한 이론적인 해석이 제시되었다. Critical region내의 곡률변화와 균열 양상이 고려되었으며 이를 위해 SFRC의 압축응력-변형도와 특히 SFRC의 인장 최대하중 후 응력-균열 열림관계(stress-crack opening relationship)로 표현된 인장 constitutive모델이 비선형 휨 해석에 이용되었다. 제시된 모델의 해석치는 실험치와 비교할 때 만족스러웠으며 이 모델을 이용, SFRC보의 휨 거동에 미치는 여러 영향들과 위험 단면(critical section)의 거동이 고찰되었다. 또한 단순 관찰과 통계적인 접근을 통해 SFRC보의 휨 거동에 큰 영향을 미치는 변수(parameters)들을 찾아내었다.

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A numerical study on the damage of projectile impact on concrete targets

  • Lu, Gang;Li, Xibing;Wang, Kejin
    • Computers and Concrete
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    • 제9권1호
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    • pp.21-33
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    • 2012
  • This paper presents the numerical simulation of the rigid 12.6 mm diameter kinetic energy ogive-nosed projectile impact on plain and fiber reinforced concrete (FRC) targets with compressive strengths from 45 to 235 MPa, using a three-dimensional finite element code LS-DYNA. A combined dynamic constitutive model, describing the compressive and tensile damage of concrete, is implemented. A modified Johnson_Holmquist_Cook (MJHC) constitutive relationship and damage model are incorporated to simulate the concrete behavior under compression. A tensile damage model is added to the MJHC model to analyze the dynamic fracture behavior of concrete in tension, due to blast loading. As a consequence, the impact damage in targets made of plain and fiber reinforced concrete with same matrix material under same impact velocities (650 m/s) are obtained. Moreover, the damage distribution of concrete after penetration is procured to compare with the experimental results. Numerical simulations provide a reasonable prediction on concrete damage in both compression and tension.

Application of fiber element in the assessment of the cyclic loading behavior of RC columns

  • Sadjadi, R.;Kianoush, M.R.
    • Structural Engineering and Mechanics
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    • 제34권3호
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    • pp.301-317
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    • 2010
  • This paper studies the reliability of an analytical tool for predicting the lateral load-deformation response of RC columns while subjected to lateral cyclic displacements and axial load. The analytical tool in this study is based on a fiber element model implemented into the program DRAIN-2DX (fiber element). The response of RC column under cyclic displacement is defined by the behavior of concrete, and reinforcing steel under general reversed-cyclic loading. A tri-linear stress-strain relationship for the cyclic behavior of steel is proposed and the improvement in the analytical results is studied. This study only considers the behavior of columns with flexural dominant mode of failure. It is concluded that with the implementation of appropriate constitutive material models, the described analytical tools can predict the response of the columns with reasonable accuracy when compared to experimental data.

Anisotropic damage modelling of biaxial behaviour and rupture of concrete structures

  • Ragueneau, F.;Desmorat, R.;Gatuingt, F.
    • Computers and Concrete
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    • 제5권4호
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    • pp.417-434
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    • 2008
  • This paper deals with damage induced anisotropy modeling for concrete-like materials. A thermodynamics based constitutive relationship is presented coupling anisotropic damage and elasticity, the main idea of the model being that damage anisotropy is responsible for the dissymmetry tension/compression. A strain written damage criterion is considered (Mazars criterion extended to anisotropy in the initial model). The biaxial behavior of a family of anisotropic damage model is analyzed through the effects of yield surface modifications by the introduction of new equivalent strains.