• 제목/요약/키워드: elastic shear modulus

검색결과 299건 처리시간 0.026초

원주방향 관통균열을 갖는 원통형 쉘 구조의 패치보강 해석 (Analysis of Patched Cylindrical Shells with Circumferential Through-Wall Cracks)

  • 안재석;김영욱;우광성
    • 대한토목학회논문집
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    • 제32권6A호
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    • pp.411-418
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    • 2012
  • 이 연구에서는 수치해석 실험을 통하여, 원주방향 관통균열을 갖는 원통형 쉘의 패치보강 전후의 거동에 대한 평가와 다양한 변수에 따른 패치보강 효과를 분석하였다. 해석 모델의 신뢰성을 높이기 위해, h-법 및 p-법에 기초한 모델링, 두 가지 방법이 동시에 고려되었다. 또한 선형탄성파괴역학 개념에 기초하여 에너지 방출률을 산정하기 위해, 등가영역적분법 및 가상균열확장법이 고려되었다. 해석 예제로서, 먼저 연구에서 수행된 h-법 및 p-법 유한요소 모델을 검증하기 위해, 패치 보강전의 인장력을 받는 관통 균열이 있는 쉘 구조물이 해석되었으며, 해석 결과값들과 여러 참고문헌 값들이 비교되었다. 그리고 패치 보강된 원통형 쉘 시스템에서의 접착제 두께, 접착제 전단탄성계수, 패치 두께, 패치 재료, 균열 길이 등의 여러 설계 변수에 대한 민감도 해석이 수행되었다.

시간-온도 중첩이론을 적용한 아스팔트 바인더의 점소성 구성 모형 (A Viscoplastic Constitutive Model Based on Overstress Concept with Time-Temperature Superposition Principle)

  • 윤태영;엄병식;유평준;김연복
    • 한국도로학회논문집
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    • 제14권5호
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    • pp.75-83
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    • 2012
  • PURPOSES: Suggestion of asphalt binder constitutive model based on time-temperature superposition principle and overstress concept in order to describe behavior of asphalt binders. METHODS: A series of temperature sweep tests and multiple stress creep and recovery(MSCR) tests are performed to verify the applicability of time-temperature superposition principle(t-Ts) and to develop viscoelastoplastic constitutive equation based on overstress concept. For the tests, temperature sweep tests at various high temperature and various frequency and MSCR test at $58^{\circ}C$, $64^{\circ}C$ $70^{\circ}C$, $76^{\circ}C$, and $82^{\circ}C$ are performed. From the temperature sweep tests, dynamic shear modulus mastercurve and time-temperature shift function are built and the shift function and MSCR at $58^{\circ}C$ are utilized to determine model coefficients of VBO model. RESULTS: It is observed that the time-temperature shift function built at low strain level of 0.1% is applicable not only to 1.0% strain level temperature sweep test but also maximum 500,00% strain level of MSCR test. As well, the modified VBO model shows perfect prediction on MSCR measured strain at the other temperatures. CONCLUSIONS: The Time-temperature superposition principle stands hold from very low strain level to very high strain level and that the modified VBO model can be applicable for various range of strain and temperature region to predict elastic, viscoelastic, and viscoplastic strain of asphalt binders.

Experimental and numerical study on the fracture coalescence behavior of rock-like materials containing two non-coplanar filled fissures under uniaxial compression

  • Tian, Wen-Ling;Yang, Sheng-Qi
    • Geomechanics and Engineering
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    • 제12권3호
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    • pp.541-560
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    • 2017
  • In this research, experimental and numerical simulations were adopted to investigate the effects of ligament angle on compressive strength and failure mode of rock-like material specimens containing two non-coplanar filled fissures under uniaxial compression. The experimental results show that with the increase of ligament angle, the compressive strength decreases to a nadir at the ligament angle of $60^{\circ}$, before increasing to the maximum at the ligament angle of $120^{\circ}$, while the elastic modulus is not obviously related to the ligament angle. The shear coalescence type easily occurred when ${\alpha}$ < ${\beta}$, although having the same degree difference between the angle of ligament and fissure. Numerical simulations using $PFC^{2D}$ were performed for flawed specimens under uniaxial compression, and the results are in good consistency with the experimental results. By analyzing the crack evolution process and parallel bond force field of rock-like material specimen containing two non-coplanar filled fissures, we can conclude that the coalescence and propagation of crack are mainly derived from parallel bond force, and the crack initiation and propagation also affect the distribution of parallel bond force. Finally, the displacement vectors in ligament region were used to identify the type of coalescence, and the results coincided with that obtained by analyzing parallel bond force field. These experimental and numerical results are expected to improve the understanding of the mechanism of flawed rock engineering structures.

Bond slip modelling and its effect on numerical analysis of blast-induced responses of RC columns

  • Shi, Yanchao;Li, Zhong-Xian;Hao, Hong
    • Structural Engineering and Mechanics
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    • 제32권2호
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    • pp.251-267
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    • 2009
  • Reinforced concrete (RC) structures consist of two different materials: concrete and steel bar. The stress transfer behaviour between the two materials through bond plays an important role in the load-carrying capacity of RC structures, especially when they subject to lateral load such as blast and seismic load. Therefore, bond and slip between concrete and reinforcement bar will affect the response of RC structures under such loads. However, in most numerical analyses of blast-induced structural responses, the perfect bond between concrete and steel bar is often assumed. The main reason is that it is very difficult to model bond slip in the commercial finite element software, especially in hydrodynamic codes. In the present study, a one-dimensional slide line contact model in LS-DYNA for modeling sliding of rebar along a string of concrete nodes is creatively used to model the bond slip between concrete and steel bars in RC structures. In order to model the bond slip accurately, a new approach to define the parameters of the one-dimensional slide line model from common pullout test data is proposed. Reliability and accuracy of the proposed approach and the one-dimensional slide line in modelling the bond slip between concrete and steel bar are demonstrated through comparison of numerical results and experimental data. A case study is then carried out to investigate the bond slip effect on numerical analysis of blast-induced responses of a RC column. Parametric studies are also conducted to investigate the effect of bond shear modulus, maximum elastic slip strain, and damage curve exponential coefficient on blast-induced response of RC columns. Finally, recommendations are given for modelling the bond slip in numerical analysis of blast-induced responses of RC columns.

Geometrically nonlinear thermo-mechanical analysis of graphene-reinforced moving polymer nanoplates

  • Esmaeilzadeh, Mostafa;Golmakani, Mohammad Esmaeil;Kadkhodayan, Mehran;Amoozgar, Mohammadreza;Bodaghi, Mahdi
    • Advances in nano research
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    • 제10권2호
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    • pp.151-163
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    • 2021
  • The main target of this study is to investigate nonlinear transient responses of moving polymer nano-size plates fortified by means of Graphene Platelets (GPLs) and resting on a Winkler-Pasternak foundation under a transverse pressure force and a temperature variation. Two graphene spreading forms dispersed through the plate thickness are studied, and the Halpin-Tsai micro-mechanics model is used to obtain the effective Young's modulus. Furthermore, the rule of mixture is employed to calculate the effective mass density and Poisson's ratio. In accordance with the first order shear deformation and von Karman theory for nonlinear systems, the kinematic equations are derived, and then nonlocal strain gradient scheme is used to reflect the effects of nonlocal and strain gradient parameters on small-size objects. Afterwards, a combined approach, kinetic dynamic relaxation method accompanied by Newmark technique, is hired for solving the time-varying equation sets, and Fortran program is developed to generate the numerical results. The accuracy of the current model is verified by comparative studies with available results in the literature. Finally, a parametric study is carried out to explore the effects of GPL's weight fractions and dispersion patterns, edge conditions, softening and hardening factors, the temperature change, the velocity of moving nanoplate and elastic foundation stiffness on the dynamic response of the structure. The result illustrates that the effects of nonlocality and strain gradient parameters are more remarkable in the higher magnitudes of the nanoplate speed.

유한요소해석을 이용한 CF&GF Hybrid Prepreg 적층 패턴에 따른 Z-Spring의 구조해석 (Finite Element Method Based Structural Analysis of Z-Spring with CF&GF Hybrid Prepreg Lamination Patterns)

  • 김정근;최선호;김영근;김홍건;곽이구
    • 한국기계가공학회지
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    • 제20권3호
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    • pp.60-67
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    • 2021
  • Recently, research attention has been focused on vibration-free vehicles to transport small numbers of expensive electronic products. Vibration-free vehicles can be used to transport expensive test equipment or semiconductors, mainly produced in the domestic IT industry, and can serve as a readily available transportation system for short driving distances due to the increased efficiency on narrow national highways. This study was aimed at developing a Z-Spring to minimize the vibration by installing an air spring instead of the plate spring applied to conventional freight cars and to prevent the damage of the loaded cargo from the shock occurring during movement. The mechanical properties (elastic modulus, tensile strength, and shear strength) of carbon fiber (CF) and glass fiber (GF) prepreg were derived, and ANSYS ACP PrepPost analyses were performed. It was observed that in the case of hybrid composites, the total deformation and equivalent stress are higher than that of CFRP; however, in terms of the unit cost, the hybrid Z-Spring is more inexpensive and durable compared to the GF.

Effect of the initial imperfection on the response of the stainless steel shell structures

  • Ali Ihsan Celik;Ozer Zeybek;Yasin Onuralp Ozkilic
    • Steel and Composite Structures
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    • 제50권6호
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    • pp.705-720
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    • 2024
  • Analyzing the collapse behavior of thin-walled steel structures holds significant importance in ensuring their safety and longevity. Geometric imperfections present on the surface of metal materials can diminish both the durability and mechanical integrity of steel shells. These imperfections, encompassing local geometric irregularities and deformations such as holes, cavities, notches, and cracks localized in specific regions of the shell surface, play a pivotal role in the assessment. They can induce stress concentration within the structure, thereby influencing its susceptibility to buckling. The intricate relationship between the buckling behavior of these structures and such imperfections is multifaceted, contingent upon a variety of factors. The buckling analysis of thin-walled steel shell structures, similar to other steel structures, commonly involves the determination of crucial material properties, including elastic modulus, shear modulus, tensile strength, and fracture toughness. An established method involves the emulation of distributed geometric imperfections, utilizing real test specimen data as a basis. This approach allows for the accurate representation and assessment of the diversity and distribution of imperfections encountered in real-world scenarios. Utilizing defect data obtained from actual test samples enhances the model's realism and applicability. The sizes and configurations of these defects are employed as inputs in the modeling process, aiding in the prediction of structural behavior. It's worth noting that there is a dearth of experimental studies addressing the influence of geometric defects on the buckling behavior of cylindrical steel shells. In this particular study, samples featuring geometric imperfections were subjected to experimental buckling tests. These same samples were also modeled using Finite Element Analysis (FEM), with results corroborating the experimental findings. Furthermore, the initial geometrical imperfections were measured using digital image correlation (DIC) techniques. In this way, the response of the test specimens can be estimated accurately by applying the initial imperfections to FE models. After validation of the test results with FEA, a numerical parametric study was conducted to develop more generalized design recommendations for the stainless-steel shell structures with the initial geometric imperfection. While the load-carrying capacity of samples with perfect surfaces was up to 140 kN, the load-carrying capacity of samples with 4 mm defects was around 130 kN. Likewise, while the load carrying capacity of samples with 10 mm defects was around 125 kN, the load carrying capacity of samples with 14 mm defects was measured around 120 kN.

슬래브 하부 수평저항을 고려한 지반위의 콘크리트 슬래브 해석 모델 및 온도하중에 의한 거동 분석 (Analysis Models of Concrete Slabs-on-Grade Considering Horizontal Resistance at Slab Bottom and Behavior under Thermal Loads)

  • 김성민;안주옥
    • 한국전산구조공학회논문집
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    • 제19권3호
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    • pp.271-282
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    • 2006
  • 지반위에 놓인 콘크리트 슬래브가 온도하중을 받을 때 지반의 전단저항과 슬래브 하부와 지반과의 마찰 등에 의해 생기는 슬래브 하부의 수평저항을 고려하여 지반위에 놓인 콘크리트 슬래브의 거동을 분석하였다. 지반위의 콘크리트 슬래브와 강성도로포장의 해석에 널리 사용되는 탄성지반위의 얇은 판을 이용하여 슬래브 하부의 수평저항을 고려하기 위한 해석 공식을 유도하였다. 이를 이용하여 판요소와 쉘요소를 이용한 유한요소법에 의한 모델을 개발하여 수치해석 결과를 도출하였다. 해석 공식과 수치해석 모델을 이용한 해석 결과를 비교 분석하였고 매우 비슷한 결과가 도출 되는 것을 알 수 있었다. 슬래브의 상부와 하부에 온도 차이가 있을 때와 슬래브의 온도가 전체적으로 감소할 때, 콘크리트 슬래브의 응력 분포에 슬래브 하부의 수평저항이 미치는 민감성을 여러 가지의 다른 슬래브의 두께, 탄성계수, 그리고 지반의 수직탄성계수 등을 고려하여 분석하였다. 해석 결과에서 온도하중을 받을 때 슬래브 하부의 수평저항은 슬래브의 응력에 매우 큰 영향을 미칠 수 있다는 것을 발견하였다.

CAVITY FORMATION IN INTERFACE BETWEEN POWER LAW CREEP PARTICLE AND ELASTIC MATRIX SUBJECTED TO A UNIAXIAL STRESS

  • Lee, Yong-Sun;Ha, Young-Min;Hwang, Su-Chul
    • Journal of Theoretical and Applied Mechanics
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    • 제1권1호
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    • pp.69-88
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    • 1995
  • The paper attempts to estimate the incubation time of a cavity in the interface between a power law creep particle and an elastic matrix subjected to a uniaxial stress. Since the power law creep particle is time dependent, the stresses in the interface relax. Through previous stress analysis related to the present physical model, the relaxation time is defined by ${\alpha}$2 which satisfies the equation $\Gamma$0 |1+${\alpha}$2k|m=1-${\alpha}$2 [19]. $\Gamma$0=2(1/√3)1+m($\sigma$$\infty$/2${\mu}$)m($\sigma$0/$\sigma$$\infty$tm) where $\sigma$$\infty$ is an applied stress, ${\mu}$ is a shear modulus of a matrix, $\sigma$$\infty$ is a material constant of a power law particle, $\sigma$=$\sigma$0 $\varepsilon$ and t elapsed time. the volume free energy associated with Helmholtz free energy includes strain energies associated with Helmholtz free energy includes strain energies caused by applied stress anddislocations piled up in interface (DPI). The energy due to DPI is found by modifying the results of Dundurs and Mura[20]. The volume free energies caused by both applied stress and DPI are a function of the cavity size(${\gamma}$) and elapsed time(t) and arise from stress relaxation in the interface. Critical radius ${\gamma}$ and incubation time t to maximize Helmholtz free energy is found in present analysis. Also, kinetics of cavity fourmation are investigated using the results obtained by Riede[16]. The incubation time is defied in the analysis as the time required to satisfy both the thermodynamic and kinetic conditions. Through the analysis it is found that [1] strain energy caused by the applied stress does not contribute significantly to the thermodynamic and kinetic conditions of a cavity formation, 2) in order to satisfy both thermodynamic and kinetic conditions, critical radius ${\gamma}$ decreases or holds constant with increase of time until the kinetic condition(eq.40) is satisfied. Therefore the cavity may not grow right after it is formed, as postulated by Harris[11], and Ishida and Mclean[12], 3) the effects of strain rate exponent (m), material constant $\sigma$0, volume fraction of the particle to matrix(f) and particle size on the incubation time are estimated using material constants of the copper as matrix.

중온 아스팔트 혼합물의 성능 평가를 위한 아스팔트 바인더와 골재 사이의 접착물성분석 방법에 관한 연구 (A Study on the Performance Evaluation Method of Warm-mix Asphalt Mixture by the Analysis of Bonding Properties between Asphalt Binder and Aggregate)

  • 유인상;조동우;황성도;이석근
    • 대한토목학회논문집
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    • 제31권6D호
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    • pp.803-810
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    • 2011
  • 국내외적으로 지구 온난화와 에너지 절약에 관한 관심이 커지고 있는 가운데 아스팔트관련 산업에서도 이러한 친환경 소재 및 기술 개발에 관심을 가지고 있다. 기존 가열 아스팔트에 비해 낮은 온도에서 생산할 수 있는 기술인 중온 아스팔트는 이러한 친환경 소재관련 기술 개발의 결과로서 지속적인 개발연구의 대상이 된다. 이러한 연구대상중의 하나는 중온 아스팔트 바인더의 접착능력을 측정하는 것이다. 그리고 또한 이러한 접착능력 평가와 아스팔트 혼합물 성능을 직접 연결하는 노력도 필요하다. 본 논문은 중온 아스팔트 바인더와 골재의 접착능력에 관한 내용을 다루고 있고, 그 접착능력을 평가하기 위한 시험방법을 제시하고 있다. 본 연구에서는 기존 DSR 수분손상시험을 사용해 가열 및 중온 아스팔트 바인더와 골재사이 접착부분의 물성을 비교 평가했고, 또한 아스팔트 혼합물 성능과의 관계성을 구하기 위해 인장강도 비를 측정해서 확인해 보았다. 본 연구를 통해서 나온 결론은 다음과 같다. 기존의 수퍼페이브 표준 아스팔트 바인더 시험법에서 사용하는 선형점탄성 $G^*$ 값보다는 85% 선형점탄성 $G^*$에서의 전단응력 값이 가열 아스팔트 바인더 또는 중온 아스팔트 바인더와 골재의 접착성을 좀 더 적확하게 평가하기 위한 물성 값이 될 수 있다. 그리고 얇은 아스팔트 피막두께의 접착능력을 평가하는 것이 실재 아스팔트 바인더와 골재의 접착능력을 좀 더 잘 반영할 수 있는 방법이 될 것이다.