• 제목/요약/키워드: strain localization

검색결과 160건 처리시간 0.022초

Modelling of strain localization in a large strain context

  • Cescotto, S.;Li, X.K.
    • Structural Engineering and Mechanics
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    • 제4권6호
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    • pp.645-653
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    • 1996
  • In order to avoid pathological mesh dependency in finite element modelling of strain localization, an isotropic elasto-plastic model with a yield function depending on the Laplacian of the equivalent plastic strain is implemented in a 4-node quadrilateral finite element with one integration point based on a mixed formulation derived from Hu-Washizu principle. The evaluation of the Laplacian is based on a least square polynomial approximation of the equivalent plastic strain around each integration point. This non local approach allows to satisfy exactly the consistency condition at each integration point. Some examples are treated to illustrate the effectiveness of the method.

Groove Pressing 공정을 통한 소성 변형 거동 연구 (Analysis of Plastic Deformation Behavior during Groove pressing)

  • 윤승채;;;김형섭
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2008년도 춘계학술대회 논문집
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    • pp.425-426
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    • 2008
  • Elasto-plastic finite element analysis was carried out for analyzing the severe plastic deformation behavior of copper specimens during groove pressing. Deformation localization was studied in terms of strain variations along the longitudinal direction. Plastic strain is lower at the local interface between the shear and the flat regions, which receive very little shear during the pressing cycle. Strain localization is more intensified with the number of rove pressing cycles, although the average strain level increases.

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열역학 기반 내부 변수를 이용한 균질화 탄소성 구성방정식 및 입자강화 복합재에서의 소성변형집중 (Homogenized Elastic-plastic Relation based on Thermodynamics and Strain Localization Analyses for Particulate Composite)

  • 윤수진;김기근
    • 소성∙가공
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    • 제33권1호
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    • pp.18-35
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    • 2024
  • In the present work, the evolution rules for the internal variables including continuum damage factors are obtained using the thermodynamic framework, which are in turn facilitated to derive the elastic-plastic constitutive relation for the particulate composites. Using the Mori-Tanaka scheme, the homogenization on state and internal variables such as back-stress and damage factors is carried out to procure the rate independent plasticity relations. Moreover, the degradation of mechanical properties of constituents is depicted by the distinctive damages such that the phase and interfacial damages are treated individually accordingly, whereas the kinematic hardening is depicted by combining the Armstrong-Frederick and Phillips' back-stress evolutions. On the other hand, the present constitutive relation for each phase is expressed in terms of the respective damage-free effective quantities, then, followed by transformation into the damage affected overall nominal relations using the aforementioned homogenization concentration factors. An emphasis is placed on the qualitative analyses for strain localization by observing the perturbation growth instead of the conventional bifurcation analyses. It turns out that the proposed constitutive model offers a wide range of strain localization behavior depending on the evolution of various internal variable descriptions.

Numerical simulations of localization of deformation in quasi-brittle materials within non-local softening plasticity

  • Bobinski, J.;Tejchman, J.
    • Computers and Concrete
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    • 제1권4호
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    • pp.433-455
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    • 2004
  • The paper presents results of FE-calculations on shear localizations in quasi-brittle materials during both an uniaxial plane strain compression and uniaxial plane strain extension. An elasto-plastic model with a linear Drucker-Prager type criterion using isotropic hardening and softening and non-associated flow rule was used. A non-local extension was applied in a softening regime to capture realistically shear localization and to obtain a well-posed boundary value problem. A characteristic length was incorporated via a weighting function. Attention was focused on the effect of mesh size, mesh alignment, non-local parameter and imperfections on the thickness and inclination of shear localization. Different methods to calculate plastic strain rates were carefully discussed.

콘크리트의 변형률국소화에 관한 해석적 연구 (Analytical Study on the Strain Localization of Concrete)

  • 송하원;서철
    • 콘크리트학회지
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    • 제8권2호
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    • pp.129-138
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    • 1996
  • 콘크리트의 국소화현상은 콘크리트의 연화거동에 수반되어 변형이 국부적으로 집중되는 현상으로 콘크리트 구조물의 극한하중을 지배한다. 본 연구에서는 연화거동에 따른 변형률국소화현상을 일으키는 콘크리트를 국소영역과 비국소영역으로 나누어 모형화하였으며 불균질재료의 평균화개념을 이용하여 콘크리트의 국소화거동을 정식화하였다. 본 연구에서는 정식화된 모형을 사용하여 일축압축 및 일축인장하중을 받는 콘크리트의변형의 국소화 현상을 재현하였으며, 제안된 모형이 일축하중하의 콘크리트의 국소화거동을 잘 재현할 수 있음을 실제 실험결과와의 비교를 통하여 검증하였다. 해석결과로부터 일축압축하중하의 콘크리트의 국소영역의 크기는 콘크리트의 최대골재치수의 3배가 적당하고, 시편의 길이에 따른 콘크리트의 크기효과도 재현할 수 있음을 보였다. 또한 제안된 모형식에 직접인장시험에서 구해진 인장연화곡선의 사용이 일축인장하의 콘크리트의 국소화현상을 잘 표현하는데 적합함을 알 수 있었다.

변형량 기울기 이론이 조합된 이중후방응력 경화모델에서의 국부적 소성변형 (Localized Plastic Deformation in Plastic Strain Gradient Incorporated Combined Two-Back Stress Hardening Model)

  • 윤수진;이상연;박동창
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2011년도 제37회 추계학술대회논문집
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    • pp.528-535
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    • 2011
  • 본 논문에서는 변형율 독립 탄-소성 구성방정식을 이용, 전단 변형 하에서의 국부적 소성변형 집중현상이 분석되었다. 또한 변형량 기울기 (strain gradient) 항이 포함된 비구역적 (non-local) 구성방정식이 유도되었으며 이는 다시 이중후방응력 경화 모델로 표현되었다. 더욱이 본 모델은 연속체 파손역학과 조합되었다. 국부적 변형집중 현상은 수치해석을 통해 분석되었으며 변형량 기울기 항이 구성방정식에 포함될 때 본 항의 크기가 증가할수록 전단 밴드의 크기는 감소하는 것으로 밝혀졌다.

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Localized failure in damage dynamics

  • Do, Xuan Nam;Ibrahimbegovic, Adnan;Brancherie, Delphine
    • Coupled systems mechanics
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    • 제4권3호
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    • pp.211-235
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    • 2015
  • In this work we present a one-dimensional damage model capable of representing the dynamic fracture for elastodamage bar with combined hardening in fracture process zone - FPZ and softening with embedded strong discontinuities. This model is compared with another one we recently introduced (Do et al. 2015) and it shows a good agreement between two models. Namely, it is indicated that strain-softening leads to a sensitivity of results on the mesh discretization. Strain tends to localization in a single element which is the smallest possible area in the finite element simulations. The strain-softening element in the middle of the bar undergoes intense deformation. Strain increases with increasing mesh refinement. Strain in elements outside the strain-softening element gradually decreases to zero.

콘크리트의 변형률 국소화 및 진행성 파괴에 관한 연구 (Study on Strain Localization and Progressive Failure of Concrete)

  • 송하원;김형운;우승민
    • 콘크리트학회논문집
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    • 제11권3호
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    • pp.181-192
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    • 1999
  • The progressive failure following strain localization in concrete can be analyzed effectively using finite element modeling of fracture process zone of concrete with a finite element embedded discontinuity. In this study, a finite element with embedded discontinuous line is utilized for the analysis of progressive failure in concrete. The finite element with embedded discontinuity is a kind of discrete crack element, but the difficulties in discrete crack approach such as remeshing or adding new nodes along with crack growth can be avoided. Using a discontinuous shape function for this element, the displacement discontinuity is embedded within an element and its constitutive equation is modeled from the modeling of fracture process zone. The element stiffness matrix is derived and its dual mapping technique for numerical integration is employed. Then, a finite element analysis program with employed algorithms is developed and failure analysis results using developed finite element program are verified through the comparison with experimental data and other analysis results.

Shearing characteristics of slip zone soils and strain localization analysis of a landslide

  • Liu, Dong;Chen, Xiaoping
    • Geomechanics and Engineering
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    • 제8권1호
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    • pp.33-52
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    • 2015
  • Based on the Mohr-Coulomb failure criterion, a gradient-dependent plastic model that considers the strain-softening behavior is presented in this study. Both triaxial shear tests on conventional specimen and precut-specimen, which were obtained from an ancient landslide, are performed to plot the post-peak stress-strain entire-process curves. According to the test results of the soil strength, which reduces from peak to residual strength, the Mohr-Coulomb criterion that considers strain-softening under gradient plastic theory is deduced, where strength reduction depends on the hardening parameter and the Laplacian thereof. The validity of the model is evaluated by the simulation of the results of triaxial shear test, and the computed and measured curves are consistent and independent of the adopted mesh. Finally, a progressive failure of the ancient landslide, which was triggered by slide of the toe, is simulated using this model, and the effects of the strain-softening process on the landslide stability are discussed.

Coprinus cinereus에서 Validamycin 저항성균주의 세포학적 변화 (Cell Biological Changes of Validamycin Resistant Strain in Coprinus cinereus)

  • 심재영;최형태;윤권상
    • 한국균학회지
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    • 제22권1호
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    • pp.31-35
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    • 1994
  • 균사성 담자균의 생장을 억제하는 validamycin에 대하여 저항성을 보이는 Coprinus cinereus를 분리하고 무성생식포자의 발아율, 균사생장방식 및 actin단백질의 분포를 정상균과 비교하였다. 저항성균주는 validamycin이 있어도 무성생식포자의 발아율이 정상균의 동일조건보다 월등하며(약 20배), 정상균보다 분지를 자주하는 것으로 나타났다. 저항성균은 분지와 관계가 있는 것으로 알려진 actin의 분포가 Vm에 의하여 감소되는 정상균과는 달리 Vm에 의한 영향없이 균사끝과 균사끝 세포에 분포하는 것으로 나타났다.

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