• 제목/요약/키워드: Strain softening model

검색결과 152건 처리시간 0.026초

모형시험과 수치해석을 이용한 저토피 터널의 변형거동에 관한 연구 (Deformation Analysis of Shallow Tunnel Using Tunnel Model Test and Computational Analysis)

  • 이재호;김영수;문홍득
    • 한국지반공학회논문집
    • /
    • 제24권1호
    • /
    • pp.61-70
    • /
    • 2008
  • 지표면 침하량, 침하 기울기 그리고 터널주변의 지반 변위에 대한 관리와 예측은 도심지 저토피 터널의 설계와 시공에서 주요한 인자가 된다. 저토피 터널에서의 굴착에 따른 변형 해석은 터널 측벽부에서 지표부까지 발달하는 전단대의 변형특성을 파악하는 것이 중요하다. 본 연구는 2차원 실내 터널 모형실험과 전단 탄성계수 및 강도 정수의 저하를 고려한 변형률 연화모델 해석을 통하여 미고결 저토피 터널에서의 굴착으로 인한 변형 거동 특성을 규명해 보았다. 변형률 연화모델을 이용한 수치해석과 모형 터널 실험과의 비교에서 지표면 침하, 천단침하 그리고 전단대의 발달형태에서 부합되는 결과가 나타났다. 본 연구에서 변형률 연화모델은 저토피 터널의 비선형 변형해석에 대하여 적용성이 있음을 알 수 있었다.

변형률 연화모델과 현장계측을 이용한 저토피 NATM터널의 변형해석 (Deformation Analysis of a Shallow NATM Tunnel using Strain Softening Model and Field Measurement)

  • 이재호;김영수;문홍득;김대만;김광일
    • 한국지반환경공학회 논문집
    • /
    • 제8권6호
    • /
    • pp.29-36
    • /
    • 2007
  • 지표면 침하량, 침하 기울기 그리고 터널주변의 지반변위에 대한 관리와 예측은 도심지 터널 시공에 있어서 주요한 인자가 된다. 본 논문은 도심지 NATM터널의 변형거동에 대한 세밀한 분석을 위하여 사례분석과 수치해석적인 방법을 통하여 굴착에 따른 지반 평가와 거동 예측을 수행하였다. 수치해석적인 방법은 FLAC-2D 변형률 연화모델과 탄소성모델을 이용하였다. 현장계측은 지표면 침하와 지중변위를 수행하였으며, 계측결과는 시공중 설계물성치의 재설정에 이용되어졌다.

  • PDF

혼합균열모델을 적응한 콘크리트 파괴의 유한요소해석 (Finite Element Analysis on Concrete Fracture using Homogenized Crack Model)

  • 송하원;방춘석
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2003년도 봄 학술발표회 논문집
    • /
    • pp.137-144
    • /
    • 2003
  • Since quasi-brittle material like concrete shows strain localization behavior accompanied by strain softening, a numerical drawback such as mesh sensitivity is appeared in the finite element analysis. In this study, a homogenized crack model which overcomes the drawback and considers rate discontinuity in the constitutive equation is proposed for modeling of cracking in concrete and its propagation in strain softening regime. Then, a series of finite element analysis of the concrete under various loading conditions has been performed. From comparison of analysis results with experimental data, it is shown that failure behavior due to localized cracking of concrete under both compressive loading condition and tensile loading condition is well predicted by the homogenized crack model.

  • PDF

Nonlocal Formulation for Numerical Analysis of Post-Blast Behavior of RC Columns

  • Li, Zhong-Xian;Zhong, Bo;Shi, Yanchao;Yan, Jia-Bao
    • International Journal of Concrete Structures and Materials
    • /
    • 제11권2호
    • /
    • pp.403-413
    • /
    • 2017
  • Residual axial capacity from numerical analysis was widely used as a critical indicator for damage assessment of reinforced concrete (RC) columns subjected to blast loads. However, the convergence of the numerical result was generally based on the displacement response, which might not necessarily generate the correct post-blast results in case that the strain softening behavior of concrete was considered. In this paper, two widely used concrete models are adopted for post-blast analysis of a RC column under blast loading, while the calculated results show a pathological mesh size dependence even though the displacement response is converged. As a consequence, a nonlocal integral formulation is implemented in a concrete damage model to ensure mesh size independent objectivity of the local and global responses. Two numerical examples, one to a RC column with strain softening response and the other one to a RC column with post-blast response, are conducted by the nonlocal damage model, and the results indicate that both the two cases obtain objective response in the post-peak stage.

미소 전단 띠 형성에 의한 톱니형 칩 생성 예측 (Prediction of Serrated Chip Formation due to Micro Shear Band in Metal)

  • 임성한;오수익
    • 한국소성가공학회:학술대회논문집
    • /
    • 한국소성가공학회 2003년도 춘계학술대회논문집
    • /
    • pp.427-733
    • /
    • 2003
  • Adiabatic shear bands have been observed in the serrated chip during high strain rate metal cutting process of medium carbon steel and titanium alloy. The recent microscopic observations have shown that dynamic recrystallization occurs in the narrow adiabatic shear bands. However the conventional flow stress models such as the Zerilli-Armstrong model and the Johnson-Cook model, in general, do not predict the occurrence of dynamic recrystallization (DRX) in the shear bands and the thermal softening effects accompanied by DRX. In the present study, a strain hardening and thermal softening model is proposed to predict the adiabatic shear localized chip formation. The finite element analysis (FEA) with this proposed flow stress model shows that the temperature of the shear band during cutting process rises above 0.5T$\sub$m/. The simulation shows that temperature rises to initiate dynamic recrystallization, dynamic recrystallization lowers the flow stress, and that adiabatic shear localized band and the serrated chip are formed. FEA is also used to predict and compare chip formations of two flow stress models in orthogonal metal cutting with AISI 1045. The predictions of the FEA agreed well with the experimental measurements.

  • PDF

고속 절삭공정 중 톱니형 칩 생성 예측 (Prediction of Serrated Chip Formation in High Speed Metal Cutting)

  • 임성한;오수익
    • 소성∙가공
    • /
    • 제12권4호
    • /
    • pp.358-363
    • /
    • 2003
  • Adiabatic shear bands have been observed in the serrated chip during high strain rate metal cutting process of medium carbon steel and titanium alloy The recent microscopic observations have shown that dynamic recrystallization occurs in the narrow adiabatic shear bands. However the conventional flow stress models such as the Zerilli-Armstrong model and the Johnson-Cook model, in general, do not predict the occurrence of dynamic recrystallization (DRX) in the shear bands and the thermal softening effects accompanied by DRX. In the present study, a strain hardening and thermal softening model is proposed to predict the adiabatic shear localized chip formation. The finite element analysis (FEA) with this proposed flow stress model shows that the temperature of the shear band during cutting process rises above 0.5Τ$_{m}$. The simulation shows that temperature rises to initiate dynamic recrystallization, dynamic recrystallization lowers the flow stress, and that adiabatic shear localized band and the serrated chip are formed. FEA is also used to predict and compare chip formations of two flow stress models in orthogonal metal cutting with AISI 1045. The predictions of the FEA agreed well with the experimental measurements.s.

마그네슘 합금의 온간 동적재결정 구성방정식 최적화 (Material model optimization for dynamic recrystallization of Mg alloy under elevated forming temperature)

  • 조윤희;윤종헌
    • 한국산학기술학회논문지
    • /
    • 제18권6호
    • /
    • pp.263-268
    • /
    • 2017
  • 상용 마그네슘 합금의 경우, 상온에서 낮은 성형성을 갖기 때문에, 온간 성형 조건 하에서 성형 공정을 수행하는 것이 일반적이다. 마그네슘 합금은 온간 성형 과정 중에 동적 재결정(dynamic recrystallization, DRX)이 발생하여, 초기 결정립 사이즈가 급격하게 작아지며, 내부 전위 밀도가 낮아지게 된다. 이에 따라, 유동 응력 곡선은 세 단계의 복잡한 변형 경화 및 연화 현상을 보이게 된다. 첫 번째 구간에서는 변형률이 증가함에 따라, 가공 경화에 의해 응력이 증가하는 경향을 보이며, 두 번째 구간에서는 동적 재결정 현상에 의한 가공 연화로 응력이 갑작스럽게 감소한다. 세 번째 구간에서는 가공 경화와 가공 연화 사이의 평형에 의해, 응력이 일정하게 나타난다. 본 연구에서는, 성형 온도 $300^{\circ}C$, 변형률 속도는 0.001, 0.1, 1, 10/sec에서 AZ80 합금의 구성 방정식의 18개 변수들을 체계적으로 최적화하며, 유동 곡선의 정확도를 높일 수 있는 방식에 대해 제안하려고 한다. 또한 AZ80외에 AZ61도 추가적으로 최적화여 본 논문에서 제안한 최적화 방식의 성능을 증명하였다.

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
    • /
    • 제11권3호
    • /
    • pp.439-455
    • /
    • 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.

Solution for surrounding rock of strain-softening considering confining pressure-dependent Young's modulus and nonlinear dilatancy

  • Liang, Peng;Gao, Yongtao;Zhou, Yu;Zhu, Chun;Sun, Yanhua
    • Geomechanics and Engineering
    • /
    • 제22권4호
    • /
    • pp.277-290
    • /
    • 2020
  • This paper presents an elastic-plastic solution for the circular tunnel of elastic-strain softening behavior considering the pressure-dependent Young's modulus and the nonlinear dilatancy. The proposed solution is verified by the results of the field measuring and numerical simulation from a practical project, and a published closed-form analysis solution. The influence of each factor is discussed in detail, and the ability of Young's modulus and dilatancy characterizing the mechanical response of surrounding rock is investigated. It is found that, in low levels of support pressure, adopting the constant Young's modulus model will seriously misestimate the surrounding rock deformation. Using the constant dilatancy model will underestimate the surrounding rock deformation. When adopting the constant dilatancy model, as the dilation angle increases, the range of the plastic region increases, and the surrounding rock deformation weakens. When adopting the nonlinear dilatancy, the plastic region range and the surrounding rock deformation are the largest. The surrounding rock deformation using pressure-dependent Young's modulus model is between those resulted from two constant Young's modulus models. The constant α of pressuredependent Young's modulus model is the main factor affecting the tunnel displacement. The influence of α using a constant dilatancy model is much more apparent than that using a nonlinear dilatancy model.

A Study on Mesh Sensitivity of 3-D Homoginized Crack Model for Concrete Fracture Analysis

  • 남진원;송하원;변근주;방춘석
    • 한국콘크리트학회:학술대회논문집
    • /
    • 한국콘크리트학회 2004년도 춘계 학술발표회 제16권1호
    • /
    • pp.462-465
    • /
    • 2004
  • Since quasi-brittle materials like concrete show strain localization behavior accompanied by strain softening, a numerical drawback such as mesh sensitivity is appeared in the finite element analysis. In this paper, the so-called homogenized crack model which was introduced for three dimensional finite element analysis of fracture in concrete is studied for the mesh size dependence problem in fracture analysis. A homogenized crack element having a velocity discontinuity. is averaged to remove the mesh sensitivity in finite element analysis of concrete fracture. Numerical examples show that softening behavior of concrete fracture is successfully predicted without mesh sensitivity using the homogenized crack model.

  • PDF