• 제목/요약/키워드: Non-linear stress-strain model

검색결과 94건 처리시간 0.026초

Theoretical solutions for displacement and stress of a circular opening reinforced by grouted rock bolt

  • Zou, Jin-Feng;Xia, Zhang-Qi;Dan, Han-Cheng
    • Geomechanics and Engineering
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    • 제11권3호
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    • pp.439-455
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    • 2016
  • This paper presented solutions of displacement and stress for a circular opening which is reinforced with grouted rock bolt. It satisfies the Mohr-Coulomb (M-C) or generalized Hoek-Brown (H-B) failure criterion, and exhibits elastic-brittle-plastic or strain-softening behavior. The numerical stepwise produce for strain-softening rock mass reinforced with grouted rock bolt was developed with non-associative flow rules and two segments piecewise linear functions related to a principle strain-dependent plastic parameter, to model the transition from peak to residual strength. Three models of the interaction mechanism between grouted rock bolt and surrounding rock proposed by Fahimifar and Soroush (2005) were adopted. Based on the axial symmetrical plane strain assumption, the theoretical solution of the displacement and stress were proposed for a circular tunnel excavated in elastic-brittle-plastic and strain-softening rock mass compatible with M-C or generalized H-B failure criterion, which is reinforced with grouted rock bolt. It showed that Fahimifar and Soroush's (2005) solution is a special case of the proposed solution for n = 0.5. Further, the proposed method is validated through example comparison calculated by MATLAB programming. Meanwhile, some particular examples for M-C or generalized H-B failure criterion have been conducted, and parametric studies were carried out to highlight the influence of different parameters (e.g., the very good, average and very poor rock mass). The results showed that, stress field in plastic region of surrounding rock with considering the supporting effectiveness of the grouted rock bolt is more than that without considering the effectiveness of the grouted rock bolt, and the convergence and plastic radius are reduced.

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.

탄성영역이 없는 J2-경계면 소성모델 (J2-bounding Surface Plasticity Model with Zero Elastic Region)

  • 신호성;오세붕;김재민
    • 대한토목학회논문집
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    • 제43권4호
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    • pp.469-476
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    • 2023
  • 반복하중이나 동적하중에 대한 지반의 소성모델은 지반구조물의 비선형 수치해석에 매우 중요하다. 단일 항복면 모델은 반복하중에 대해 선형적 거동을 보이는 반면, 개발된 탄성영역이 없는 J2-경계면 소성모델은 동일한 물성치로 효과적으로 지반의 비선형성을 모사할 수 있다. 경계면 내부 항복면의 반경을 0으로 수렴시켜 탄성영역이 사라지도록 수식화하고, 소성경화 계수과 팽창률을 이용하여 소성변형 증분을 정의하였다. 개발된 모델의 응력-변형률 증분식을 제시하고, 쌍곡선 모델에 대한 소성경화 계수를 유도하였다. 삼축압축조건과 얕은기초의 반복하중에 대한 비교해석은 개발된 모델의 안정적인 수렴성, 이론식과의 일치성, 그리고 이력경로을 보여 주었다. 또한, 수정된 쌍곡선함수에 대한 소성경화 계수를 제시하여, 1차원 등가선형모델에 부합하는 모델변수 산정법을 제안하여 지반의 다차원 거동을 모델링할 수 있도록 하였다.

Large post-buckling behavior of Timoshenko beams under axial compression loads

  • Akbas, Seref D.
    • Structural Engineering and Mechanics
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    • 제51권6호
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    • pp.955-971
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    • 2014
  • Large post-buckling behavior of Timoshenko beams subjected to non-follower axial compression loads are studied in this paper by using the total Lagrangian Timoshenko beam element approximation. Two types of support conditions for the beams are considered. In the case of beams subjected to compression loads, load rise causes compressible forces end therefore buckling and post-buckling phenomena occurs. It is known that post-buckling problems are geometrically nonlinear problems. The considered highly non-linear problem is solved considering full geometric non-linearity by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. There is no restriction on the magnitudes of deflections and rotations in contradistinction to von-Karman strain displacement relations of the beam. The beams considered in numerical examples are made of lower-Carbon Steel. In the study, the relationships between deflections, rotational angles, critical buckling loads, post-buckling configuration, Cauchy stress of the beams and load rising are illustrated in detail in post-buckling case.

초탄성 재료의 변형률에너지함수를 이용한 LRB받침의 유한요소해석 (Finite Element Analysis of Lead Rubber Bearing by Using Strain Energy Function of Hyper-Elastic Material)

  • 조성국;박웅기;윤성민
    • 대한토목학회논문집
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    • 제36권3호
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    • pp.361-374
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    • 2016
  • 이 연구는 대표적인 면진장치인 납고무베어링(LRB)의 유한요소모델의 신뢰성을 향상시키기 위하여 주재료인 고무의 재료특성에 대하여 연구하였다. 고무는 일반적인 탄성재료와는 달리 대변형, 비선형특성을 가지는 초탄성 재료이다. 본 연구에서는 고무를 초탄성 재료로 가정하고 그의 재료특성을 변형률에너지함수로 표현하여 LRB의 유한요소모델을 개발하였다. 연구를 위하여 여러 변형률에너지함수 중 몇 가지를 선별하고 이를 이용하여 고무의 재료특성을 예측하였다. 변형률에너지함수를 이용하여 결정된 고무의 재료특성과 표준적인 납의 재료특성을 이용하여 LRB의 유한요소모델을 개발하고, 수평방향과 수직방향의 힘-변위 관계를 해석하였다. LRB의 유한요소모델을 통하여 해석으로 예측한 수평과 수직방향 강성을 실험결과와 비교함으로써 개발된 유한요소모델의 적합성을 검증하였다.

베어링-축 조립체에서 축의 셰이크다운에 관한 연구 (Shakedown Analysis of Shaft in Bearing-Shaft Assembly)

  • 박흥근;박진무;오윤찬
    • 대한기계학회논문집A
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    • 제24권7호
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    • pp.1740-1747
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    • 2000
  • Under repeated rolling, initial plastic deformation introduces residual stresses which render the steady cyclic state purely elastic. This is called the process of shakedown. Many studies have been done about the shakedown in semi-infinite half space using calculated Hertizian pressure. In this paper shakedown processes in a shaft are studied by finite element analyses of a two dimensional(plane strain) model with elastic-linear-kinematic-hardening-plastic material subjected to repeated, frictionless rolling contact. Symmetric and non-symmetric pressure distributions are obtained using a simplified model of the bearing-shaft assembly. The rolling contact is simulated by repeatedly translating both pressure distributions along the surface of the shaft. By the influence of the non-symmetric pressure, larger residual radial tensile stress is generated in the immediate subsurface layer, which may make a crack propagate and, the subsurface undergoes a zigzag plastic deformation during the shakedown process, which may lead to a crack initiation.

접촉 유한요소모델을 이용한 미니 임플란트의 초기 응력분포 연구 (Contact non-linear finite element model analysis of initial stability of mini implant)

  • 윤현주;정의원;이종석;김창성;김정문;조규성;김종관;최성호
    • Journal of Periodontal and Implant Science
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    • 제37권4호
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    • pp.681-690
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    • 2007
  • Mini implants had been used provisionally for the healing period of implants in the beginning. But it becomes used for the on-going purpose, because it is simple to use, economic and especially suitable for the overdenture. But there is few studies about the stability of mini implants, that is most important factor for the on-going purpose, and particularly the implant parameters affecting the initial stability. The purpose of this study was to evaluate the stress and the strain distribution pattern of immediate-loaded screw type orthodontic mini-implant and the parameters affecting the initial stability of immediate-loaded mini-implant. Two dimensional finite element models were made and contact non-linear finite element analysis was performed. The magnitude and distribution of Von Mises stresses were evaluated. The obtained results were as follows: 1. The stress was concentrated on the thread tip of an implant in the cortical bone. 2. The direction of load is the most important factor for the stress distribution in cortical bone. 3. The diameter of an implant is the most important factor for the stress distribution in the trabecular bone. In conclusion, if the horizontal load vector is successfully controlled, mini-implants, which diameter is under 3mm, can be used for the on-going purpose.

실트질 모래지반의 비선형 강도 및 강성도 추정법 (Estimation of Non-linear Strength and Stiffness for Silty Sands)

  • 이경숙;김현주;이준환
    • 한국지반공학회논문집
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    • 제22권1호
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    • pp.35-44
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    • 2006
  • 일반적으로 현장지반은 대부분 일정량의 세립분을 포함하고 있으므로 세립분 함유량을 고려한 지반 거동에 관한 연구가 요구된다. 이와 더불어, 기초 지반은 하중초기단계부터 상당한 비선형 거동특성을 나타내고 있어, 응력단계에 따른 지반의 비선형성 또한 매우 중요한 고려사항이다. 본 연구에서는 일련의 실내시험을 수행하여 지반의 전단강도 및 비선형 감쇠 특성을 도출하고자 하였으며, 수정 Hyerbolic 모델을 적용하여 분석된 실트질 모래 지반의 비선형 거동특성은 실트함유량과 상대밀도에 의해 정량화되었다. 실트질 모래 시료의 응력-변형률 곡선을 도출하기 위해 세립분 함유량을 변화시켜가며 일련의 삼축압축시험이 수행되었다. 또한 비선형 특성의 정규화에 요구되는 미소변형률 구간의 초기전단탄성계수의 도출을 위해서 삼축압축시험의 시료조건과 유사한 시료에 대해 공진주시험이 수행되었다. 또한 실트함유량별로 도출된 비선형 특성치는 상대밀도의 영향이 가장 큰 것으로 나타났으며, 상대밀도 증가에 따라 파괴시의 탄성계수의 비인 f값은 감소하고, 지반강성도 감쇠율을 나타내는 9의 경우 증가하는 경향을 나타내었다. 이와 더불어 비선형 특성치를 상대밀도 $D_R$을 간극비로 환산한 절대적 간극비 $e_{sk}$에 따른 정량화 결과의 경우, $e_{sk}$의 증가에 따라 f값은 증가하고 g값은 감소하는 경향을 나타내었다.

FEM을 이용한 상용차용 S-cam 브레이크슈의 구조해석 (Structural Analysis of S-cam Brake Shoe for Commercial Vehicle by FEM)

  • 서창민;지현철
    • 한국해양공학회지
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    • 제23권4호
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    • pp.69-77
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    • 2009
  • Structural analysis of a brake shoe for commercial vehicle was performed using finite element method. Since the strength of a brake shoe is affected by the magnitude and distribution shape of the contact pressure with the drum, the contact pressure between the shoe friction material and drum was calculated using a 2-Dimensional non-linear contact analysis in a state. And the brake was actuated by input air pressure and the drum of it was calculated both stationary and dynamic based on forced torque applied to the drum during the static state analysis. The results of the above analysis were then used as the load boundary conditions for a 3-Dimensional shoe model analysis to determine the maximum strain on the shoes. In the analysis model, the values of tensile test were used for the material properties of the brake shoes and drum, while the values of compression test were used for the friction material. We assumed it as linear variation, even though the properties of friction material were actually non-linear. The experiments were carried out under the same analysis conditions used for fatigue test and under the same brake system which equipped with a brake drum based on the actual axle state in a vehicle. The strains were measured at the same locations where the analysis was performed on the shoes. The obtained results of the experiment matched well with those from the analysis. Consequently, the model used in this study was able to determine the stress at the maximum air pressure at the braking system, thereby a modified shoe model in facilitating was satisfied with the required endurance strength in the vehicle.

냉난방 가동 모사에 따른 콘크리트 에너지파일의 열응력 해석에 대한 연구 (Study on Thermal Stress Occurred in Concrete Energy Pile During Heating and Cooling Buildings)

  • 성치훈;박상우;김병연;정경식;최항석
    • 한국지열·수열에너지학회논문집
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    • 제11권2호
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    • pp.12-18
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    • 2015
  • The energy pile, used for both structural foundations and heat exchangers, brings about heat exchange with the ground formation by circulating a working fluid for heating and cooling buildings. As heat exchange occurs in the energy pile, thermal stress and strain is generated in the pile body and surrounding ground formation. In order to investigate the thermo-mechanical behavior of an energy pile, a comprehensive experimental program was conducted, monitoring the thermal stress of a cast-in place energy pile equipped with five pairs of U-type heat exchanger pipes. The heating and cooling simulation both continued for 30 days. The thermal strain in the longitudinal direction of the energy pile was monitored for a 15 operation days and another 15 days monitoring followed, without the application of heat exchange. In addition, a finite element model was developed to simulate the thermo-mechanical behavior of the energy pile. A non-linear contact model was adopted to interpret the interaction at the pile-soil interface, and thermal-induced structure mechanics was considered to handle the thermo-mechanical coupled multi-field problem.