• 제목/요약/키워드: Nonlinear elastic model

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Mechanistic Analysis of Geogrid Base Reinforcement in Flexible Pavements Considering Unbound Aggregate Quality

  • Kwon Jay-Hyun;Tutumluer Erol;Kim Min-Kwan
    • 한국도로학회논문집
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    • 제8권2호
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    • pp.37-47
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    • 2006
  • The structural response and performance of a flexible pavement can be improved through the use of geogrids as base course reinforcement. Current ongoing research at the University of illinois has focused on the development of a geogrid base reinforcement mechanistic model for the analysis of reinforced pavements. This model is based on the finite element methodology and considers not only the nonlinear stress-dependent pavement foundation but also the isotropic and anisotropic behavior of base/subbase aggregates for predicting pavement critical responses. An axisymmetric finite element model was developed to employ a three-noded axisymmetric membrane element for modeling geogrid reinforcement. The soil/aggregate-geogrid interface was modeled by the three-noded membrane element and the neighboring six-noded no thickness interface elements. To validate the developed mechanistic model, the commercial finite element program $ABAQUS^{TM}$ was used to generate pavement responses as analysis results for simple cases with similar linear elastic material input properties. More sophisticated cases were then analyzed using the mechanistic model considering the nonlinear and anisotropic modulus property inputs in the base/subbase granular layers. This paper will describe the details of the developed mechanistic model and the effectiveness of geogrid reinforcement when used in different quality unbound aggregate base/subbase layers.

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폴리머 폼의 비선형 인장거동을 모사하기 위한 기공이 고려된 손상 탄성 구성방정식 (Elastic-Damage Constitutive Model for Nonlinear Tensile Behavior of Polymeric Foam)

  • 권순범;이제명
    • 한국전산구조공학회논문집
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    • 제31권4호
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    • pp.191-197
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    • 2018
  • 폴리머 폼은 다공성을 가장 큰 특징으로 하는 재료이기 때문에, 본 연구에서 비가역 열역학 관점을 기반으로 폴리머 폼의 기공 성장 및 합체를 고려한 손상 탄성 구성방정식을 개발하였으며, 개발된 구성방정식은 unilateral 손상의 효과를 고려하였다. 유한요소해석의 적용을 위해 상용 유한요소해석 프로그램인 ABAQUS의 사용자 서브루틴 UMAT을 이용하여 제안된 구성방정식을 수치적으로 구현하였다. 비선형 유한요소해석 결과와 폴리머 폼의 인장 시험 결과와 비교를 통해 제안된 손상 모델의 유효성을 검증하였으며, 제안된 구성방정식의 재료모델상수가 손상에 미치는 영향에 대해 분석하였다.

반복하중을 받는 입상재료의 회복탄성거동에 관한 구성모델 (Constitutive Modeling for Resilient Behavior of Granular Materials under Repeated Loading)

  • 이석근
    • 대한토목학회논문집
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    • 제14권4호
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    • pp.827-838
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    • 1994
  • 많은 포장구조 거동 모델은 입상재료의 거동을 묘사하는 구성방정식에 의존하고 있다. 본 연구에서는 비행장 포장의 입상재료 기층의 거동 예측을 위하여, 체적응력(bulk stress)과 팔면체 전단응력(octahedral shear stress)의 함수로 표시된 구성모델이 제안되었다. 이 모델의 특징은 비선형거동을 정확히 예측할 수 있고, 모델상수를 간단히 구할 수 있으며 전단효과에 의한 회복탄성계수의 감소현상을 나타낼 수 있다. 실내시험을 통하여 입상재료의 비선행 회복탄성거동을 관찰하였으며, 제안된 모델을 입증하기 위해 회복탄성계수를 측정하였다. 체적응력과 축차응력이 회복탄성계수의 변화에 가장 주요한 변수임이 관찰되었으며, 실내시험 결과 제안된 모델식에 의한 회복탄성계수의 예측치가 실측치와 잘 일치함을 알 수 있었다. 따라서 제안된 모델식은 비행장 포장에서 일어날 수 있는 광범위한 응력조건하의 입상재료의 회복탄성거동을 잘 묘사할 수 있음을 알 수 있다.

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탄성계수 불확실성을 고려한 반강접 프레임 구조의 확률적 비선형 거동 해석 (Probabilistic Nonlinear Analysis of Semi-Rigid Frames Considering Random Elastic Modulus)

  • 김대영;노혁천
    • 한국전산구조공학회논문집
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    • 제26권3호
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    • pp.191-198
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    • 2013
  • 본 논문에서는 반강접을 고려한 프레임 구조에서 강재 탄성계수의 불확실성이 프레임 구조의 비선형거동에 미치는 영향을 분석하였다. 강재 탄성계수의 불확실성의 확률분포는 정규분포로 모델링 하였으며, 이러한 확률적 물성치를 반강접 프레임의 비선형 거동에 적용할 수 있는 해석 프로그램을 개발하였다. 프레임의 비선형 거동 인수인 기하학적 비선형, 재료적 비선형, 그리고 접합부의 반강접에 의한 비선형 효과를 고려하여, Monte Carlo Simulation에 기반한 확률론적 해석을 수행하였다. 확률론적 해석을 위해 확률변수를 세 종류로 생성하여 사용하였다. 확정론적 해석의 결과는 기존의 연구 결과와 잘 일치하는 결과를 보였다. 확률론적 해석의 경우, 변위의 분산계수는 구조에 작용하는 하중이 증가함에 따라 증가하는 결과를 나타냈으며, 그 값은 프레임구조의 구조적 특성에 영향을 받는 것으로 나타났다.

현수교의 정착 형식에 따른 이동하중에 의한 동적 응답의 비교 (Comparison of Dynamic Responses According to Anchorage Type of Suspesion Bridges)

  • 서정인;김호경
    • 한국강구조학회 논문집
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    • 제12권1호통권44호
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    • pp.103-110
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    • 2000
  • 현수교는 정착 형식에 따라 타정식과 자정식으로 나누는데, 본 연구는 이 두 가지의 정착 형식의 이동하중에 대한 동적 효과의 차이를 살펴보기 위한 것으로, 연구 결과를 동적확대계수를 차량의 속도와 중량의 효과에 대해 제시함으로써 살펴보았다. 본 연구에 유한요소법을 이용하였다. 비선형 다엽식 현가장치와 트랙터-트레일러의 타이어를 모델링하기 위해 6자유도 시스템으로 차량을 모델링 하였다. 교량은 3차원 프레임 요소와 3차원 탄성현수선 요소로 모델링하였다. 바닥판 상부의 조도를 실제의 도로로부터 얻은 스펙트럼으로부터 노면형상을 생성하여 사용하였다.

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구조물-지반 상호작용 영향을 고려한 새로운 지반계수 평가방법에 대한 제안 (Proposed New Evaluation Method of the Site Coefficients Considering the Effects of the Structure-Soil Interaction)

  • 김용석
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2006년도 학술발표회 논문집
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    • pp.327-336
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    • 2006
  • Site coefficients in IBC and KBC codes have some limits to predict the rational seismic responses of a structure, because they consider only the effect of the soil amplification without the effects of the structure-soil interaction. In this study, upper and lower limits of site coefficients are estimated through the pseudo 3-D elastic seismic response analyses of structures built on linear or nonlinear soil layers considering the structure-soil interaction effects. Soil characteristics of site classes of A, B, and C were assumed to be linear, and those of site classes of D and E were done to be nonlinear and the Ramberg-Osgood model was used to evaluate shear modulus and damping ratio of a soil layer depending on the shear wave velocity of a soil layer. Seismic analyses were performed with 12 weak or moderate earthquake records, scaled the peak acceleration to 0.1g or 0.2g and deconvoluted as earthquake records at the bedrock 30m beneath the outcrop. With the study results of the elastic seismic response analyses of structures, new standard response spectrum and upper and lower limits of the site coefficients of Fa and Fv at the short period range and the period of 1 second are suggested Including the structure-soil interaction effects.

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Determination of elastic parameters of the deformable solid bodies with respect to the Earth model

  • Guliyev, Hatam H.;Javanshir, Rashid J.;Hasanova, Gular H.
    • Geomechanics and Engineering
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    • 제15권5호
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    • pp.1071-1080
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    • 2018
  • The study of behavior and values of deformations in the geological medium makes the scientific basis of the methodology of synthesis of true values of parameters of its physico-mechanical and density properties taking into account the influence of geodynamic impacts. The segments of continuous variation of homogeneous elastic uniform deformations are determined under overall compression of the medium. The limits of these segments are defined according to the criteria of instability (on geometric form changes and on "internal" instability). Analytical formulae are obtained to calculate current and limiting (critical) values of deformations within the framework of various variants of small and large initial deformations of the non-classically linearized approach of non-linear elastodynamics. The distribution of deformation becomes non-uniform in the medium while the limiting values of deformations are achieved. The proposed analytical formulae are applicable only within homogeneous distribution of deformations. Numerical experiments are carried out for various elastic potentials. It is found that various forms of instability can precede phase transitions and destruction. The influence of these deformation phenomena should be removed while the physico-mechanical and density parameters of the deformed media are determined. In particular, it is necessary to use the formulae proposed in this paper for this purpose.

Inelastic seismic response of adjacent buildings linked by fluid dampers

  • Xu, Y.L.;Yang, Z.;Lu, X.L.
    • Structural Engineering and Mechanics
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    • 제15권5호
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    • pp.513-534
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    • 2003
  • Using fluid dampers to connect adjacent buildings for enhancing their seismic resistant performance has been recently investigated but limited to linear elastic adjacent buildings only. This paper presents a study of inelastic seismic response of adjacent buildings linked by fluid dampers. A nonlinear finite element planar model using plastic beam element is first constructed to simulate two steel frames connected by fluid dampers. Computed linear elastic seismic responses of the two steel frames with and without fluid dampers under moderate seismic events are then compared with the experimental results obtained from shaking table tests. Finally, elastic-plastic seismic responses of the two steel frames with and without fluid dampers are extensively computed, and the fluid damper performance on controlling inelastic seismic response of the two steel frames is assessed. The effects of the fundamental frequency ratio and structural damping ratio of the two steel frames on the damper performance are also examined. The results show that not only in linear elastic stage but also in inelastic stage, the seismic resistant performance of the two steel frames of different fundamental frequencies can be significantly enhanced if they are properly linked by fluid dampers of appropriate parameters.

Fragility analysis of R/C frame buildings based on different types of hysteretic model

  • Borekci, Muzaffer;Kircil, Murat S.
    • Structural Engineering and Mechanics
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    • 제39권6호
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    • pp.795-812
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    • 2011
  • Estimation of damage probability of buildings under a future earthquake is an essential issue to ensure the seismic reliability. Fragility curves are useful tools for showing the probability of structural damage due to earthquakes as a function of ground motion indices. The purpose of this study is to compare the damage probability of R/C buildings with low and high level of strength and ductility through fragility analysis. Two different types of sample buildings have been considered which represent the building types mentioned above. The first one was designed according to TEC-2007 and the latter was designed according to TEC-1975. The pushover curves of sample buildings were obtained via pushover analyses. Using 60 ground motion records, nonlinear time-history analyses of equivalent single degree of freedom systems were performed using bilinear hysteretic model and peak-oriented hysteretic model with stiffness - strength deterioration for each scaled elastic spectral displacement. The damage measure is maximum inter-story drift ratio and each performance level considered in this study has an assumed limit value of damage measure. Discrete damage probabilities were calculated using statistical methods for each considered performance level and elastic spectral displacement. Consequently, continuous fragility curves have been constructed based on the lognormal distribution assumption. Furthermore, the effect of hysteresis model parameters on the damage probability is investigated.

Dynamic analysis of ACTIVE MOUNT using viscoelastic-elastoplastic material model

  • Park, Taeyun;Jung, Wonuk
    • International Journal of Reliability and Applications
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    • 제17권2호
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    • pp.137-147
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    • 2016
  • The engine mount of a car subjected to a pre-load related to the weight of the engine, and acts to insulate the vibration coming from the engine by moving on large or small displacement depending on the driving condition of the car. The vibration insulation of the engine mount is an effect obtained by dissipating the mechanical energy into heat by the viscosity characteristic of the rubber and the microscopic behavior of the additive carbon black. Therefore, dynamic stiffness from the intrinsic properties of rubber filled with carbon black at the design stage is an important design consideration. In this paper, we introduced a hyper-elastic, visco-elastic and elasto-plastic model to predict the dynamic characteristics of rubber, and developed a fitting program to determine the material model parameters using MATLAB. The dynamic characteristics analysis of the rubber insulator of the ACTIVE MOUNT was carried out by using MSC.MARC nonlinear structural analysis software, which provides the dynamic characteristics material model. The analysis results were compared with the dynamic characteristics test results of the rubber insulator, which is one of the active mount components, and the analysis results were confirmed to be valid.