• 제목/요약/키워드: Non-Local Plastic Deformation

검색결과 18건 처리시간 0.022초

비국소형 구성식을 이용한 보이드 재료의 변형 국소화 거동의 해석(I) (Analysis of Deformation Localization of Void Material using Nolocal Constitutive Relation (I))

  • 김영석;최홍석;임성언
    • 소성∙가공
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    • 제9권1호
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    • pp.59-65
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    • 2000
  • Most studies of failure analysis in ductile metals have been based on the classical plasticity theory using the local constitutive relations. These frequently yields a physically unrealistic solution, in which a numerical prediction of the onset of a deformation localization shows an inherent mesh-size sensitivity. A one way to remedy the spurious mesh sensitivity resulted in the unreasonable results is to incorporate the non-local plasticity into the simulation model, which introduce an internal (material) length-scale parameter into the classical constitutive relations. In this paper, a non-local version of the modified Gurson constitutive relation has been introduced into the finite element formulation of the simulation for plane strain compression of the visco elastic-plastic void material. By introducing the non-local constitutive relations we could successfully removed the inherent mesh-size sensitivity for the prediction of the deformation localization. The effects of non-local constitutive relation are discussed in terms of the load-stroke curve and the strain distributions accross the shear band.

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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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Local & Global 모델을 이용한 용접구조물 변형 해석에 관한 연구 (The Analysis of Welding Deformation in Large Welded Structure by Using Local & Global Model)

  • 장경복;조시훈;장태원
    • Journal of Welding and Joining
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    • 제22권6호
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    • pp.25-29
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    • 2004
  • Some industrial steel structures are composed by components linked by several welding joints to constitute an assembly. The main interest of assembly simulation is to evaluate the global distortion of welded structure. The general method, thermo-elasto-plastic analysis, leads to excessive model size and computation time. In this study, a simplified method called "Local and Global approach" was developed to break down this limit and to provide a accurate solution for distortion. Local and global approach is composed of 3 steps; 1) Local simulation of each welding joint on a dedicated mesh (usually very fine due to high thermal gradients), taking into account for the non linearity of the material properties and the moving heat source. 2) Transfer to the global model of the effects of the welding joints by projection of the plastic strain tensors. 3) Elastic simulation to determine final distortions in global model. The welding deformation test for mock-up structure was performed to verify this approach. The predicted welding distortion by this approach had a good agreement with experiment results.

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.

감육된 탄소강배관의 변형과 파괴거동 (Deformation and Fracture Behavior of Wall Thinned Carbon Steel Pipes)

  • 안석환;남기우
    • 한국해양공학회지
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    • 제20권4호
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    • pp.17-23
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    • 2006
  • Monotonic four-point bending tests were conducted on straight pipe specimens, 102 mm in diameter with local wall thinning, in order to investigate the effects of the depth, shape, and location of wall thinning on the deformation and failure behavior of pipes. The local wall thinning simulated natural erosion/corrosion metal loss. The deformation and fracture behavior of the straight pipes with local wall thinning was compared with that of non wall-thinning pipes. The failure modes were classifiedas local buckling, ovalization, or crack initiation, depending on the depth, shape, and location of the local wall thinning. Three-dimensional elasto-plastic analyses were carried out using the finite element method. The deformation and failure behavior, simulated by finite element analyses, coincided with the experimental results.

보이드 성장을 고려한 재료의 성형한계에 대한 비 국소 해석 (Non-Local Analysis of Forming Limits of Ductile Material Considering Damage Growth)

  • 김영석;원성연
    • 대한기계학회논문집A
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    • 제27권6호
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    • pp.914-922
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    • 2003
  • In this paper, the strain localization of voided ductile material has been analyzed by nonlocal plasticity formulation in which the yield strength not only depends on an equivalent plastic strain measure (hardening parameter), but also on the Laplacian thereof. The gradient terms in yield criterion show an important role on modeling strain-softening phenomena of material. The influence of the mesh size on the elastic -plastic deformation behavior and the effect of the characteristic length parameter for localization prediction are also investigated. The proposed nonlocal plasticity shows that the load -strain curves converge to one curve. Results using nonlocal plasticity also exhibit the dependence of mesh size is much less sensitivity than that for a corresponding local plasticity formulation.

Ratcheting analysis of joined conical cylindrical shells

  • Singh, Jaskaran;Patel, B.P.
    • Structural Engineering and Mechanics
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    • 제55권5호
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    • pp.913-929
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    • 2015
  • The ratcheting and strain cyclic behaviour of joined conical-cylindrical shells under uniaxial strain controlled, uniaxial and multiaxial stress controlled cyclic loading are investigated in the paper. The elasto-plastic deformation of the structure is simulated using Chaboche non-linear kinematic hardening model in finite element package ANSYS 13.0. The stress-strain response near the joint of conical and cylindrical shell portions is discussed in detail. The effects of strain amplitude, mean stress, stress amplitude and temperature on ratcheting are investigated. Under strain symmetric cycling, the stress amplitude increases with the increase in imposed strain amplitude. Under imposed uniaxial/multiaxial stress cycling, ratcheting strain increases with the increasing mean/amplitude values of stress and temperature. The abrupt change in geometry at the joint results in local plastic deformation inducing large strain variations in the vicinity of the joint. The forcing frequency corresponding to peak axial ratcheting strain amplitude is significantly smaller than the frequency of first linear elastic axial vibration mode. The strains predicted from quasi static analysis are significantly smaller as compared to the peak strains from dynamic analysis.

비국부 이론을 이용한 입자 강화 복합재 이중후방응력 소성 구성방정식 모델 및 전단밴드 분석 (Non-Local Plasticity Constitutive Relation for Particulate Composite Material Using Combined Back-Stress Model and Shear Band Formation)

  • 윤수진;김신회;박재범;정규동
    • 대한기계학회논문집A
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    • 제38권10호
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    • pp.1057-1068
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    • 2014
  • 2개의 상으로 구성된 입자 강화 복합재에 대한 균질화와 내부 상태 변수에 대해 2차 미분항이 포함된 비구역적 이론을 적용하여 탄소성 구성 방정식을 제안하였다. 열역학과 소성 포텐셜을 통해 내부 상태 변수에 대한 전개식 또한 본 논문에 포함되었다. 연속체 결함 모델을 이용, 결함 인자에 따른 물성 저하 현상도 감안되었으며 이중 후방응력이 조합된 전개식 또한 제시하였다. 일부 예에 대한 수치해석 결과, 비구역적 변수의 영향이 증가할수록 전단밴드는 감소하나 반면 특정 후방응력 전개가 지배적일수록 소성변형 집중이 증가함이 관찰되었다. 더욱이 두 개의 강소성 상으로 이루어진 복합재의 경우 강성이 높은 게재물의 비중이 증가함에 따라 전단밴드 형성이 용이한 것으로 나타났다. 그 밖에 제어변수들의 변화에 따른 전단밴드 형성에 대한 분석 결과는 Rice 소성 불안정성 분석결과와 잘 일치함 또한 밝혀졌다.

플라스틱 유동을 고려한 사출성형 충전공정 중 금형의 변형 해석 (Numerical Analysis of Mold Deformation Including Plastic Melt Flow During Injection Molding)

  • 정준태;이봉기
    • 대한기계학회논문집A
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    • 제38권7호
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    • pp.719-725
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    • 2014
  • 본 연구에서는 사출성형 충전공정 중 금형의 변형을 예측하기 위하여 비뉴턴 유동, 열전달, 구조해석이 함께 고려된 수치해석 연구를 수행하였다. 정밀 사출성형 금형을 설계/제작하기 위해서는 충전공정 중에 발생하는 금형의 변형을 정확하게 예측하는 것이 중요하다. 이와 같은 금형의 국부적인 변형은 다양한 요인에 의해 발생할 수 있으나, 용융된 고분자 수지의 유동에 의한 압력이 가장 큰 원인 중의 하나로 여겨지고 있다. 따라서, 본 연구에서는 2 차원 축대칭 형상의 단순 원형 디스크 제품의 금형을 모델링하고 이에 대한 수치해석을 수행하였다. 이를 바탕으로 금형 내부의 고분자 수지의 유동 특성과 금형 변형량, 온도 분포에 대한 분석을 수행하였다. 또한 다구치 방법을 기반으로 한 실험계획법을 도입하여 유동 속도, 금형 온도, 고분자 수지의 온도가 금형 변형에 미치는 영향을 파악하였다.

스프링-보 모형을 이용한 해양구조물 원통부재의 충돌 해석 (Analysis of Offshore Tubulars Subjected to Collision Impacts Using a Spring-Beam Model)

  • 조상래;권종식
    • 한국해양공학회지
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    • 제9권1호
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    • pp.22-35
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    • 1995
  • A simplified numerical procedure have proposed to trace the dynamic behaviour of offshore tubulars subjected to lateral collision impacts. The local denting and overall bending deformation of the struck tubular are represented by a non-linear spring and an elastic visco-plastic beam respectively. In this method a temporal finite difference method and a spacial finite element method are employed. Using this method various boundary conditions are able to considered and their effects on the extent of damage can be quantified. The extent of damage due to collision can be obtained as results of the dynamic analysis. The predictions using the proposed method have been correlated with existing test results and then the reliability of the procedure has been substantiated. The characteristics of the dynamic response of tubulars under lateral impacts are compared for simply supported roller and fixed end conditions and their effects on the extent of damage are specfied.

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