• 제목/요약/키워드: ductile damage

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Bree's interaction diagram of beams with considering creep and ductile damage

  • Nayebi, A.
    • Structural Engineering and Mechanics
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    • 제30권6호
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    • pp.665-678
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    • 2008
  • The beams components subjected to the loading such as axial, bending and cyclic thermal loads were studied in this research. The used constitutive equations are those of elasto-plasticity coupled to ductile and/or creep damage. The nonlinear kinematic hardening behavior was considered in elastoplasticity modeling. The unified damage law proposed for ductile failure and fatigue by the author of Sermage et al. (2000) and Kachanov's creep damage model applied to cyclic creep and low cycle fatigue of beams. Based on the results of the analysis, the shakedown limit loads were determined through the calculation of the residual strains developed in the beam analysis. The iterative technique determines the shakedown limit load in an iterative manner by performing a series of full coupled elastic-plastic and continuum damage cyclic loading modeling. The maximum load carrying capacity of the beam can withstand, were determined and imposed on the Bree's interaction diagram. Comparison between the shakedown diagrams generated by or without creep and/or ductile damage for the loading patterns was presented.

Ductile Fracture Behaviour under Mode I Loading Using Rousellier Ductile Damage Theory

  • Oh, Dong-Joon;Howard, I.C.;Yates, J.R.
    • Journal of Mechanical Science and Technology
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    • 제14권9호
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    • pp.978-984
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    • 2000
  • The aim of this study is to investigate the ductile fracture behaviour under Mode I loading using SA533B pressure vessel steel. Experiments consist of the Round Notch Bar Test (RNB), Single Edge Crack Bending Test (SECB), and V-Notch Bar Test (VNB). Results from the RNB test were used to tune the damage modelling constant. The other tests were performed to acquire the J-resistance curves and to confirm the damage constants. Microstructural observation includes the measurement of crack profile to obtain the roughness parameter. Finally, simulation using Rousellier Ductile Damage Theory (RDDT) was carried out with 4-node quadrilateral element ($L_c=0.25\;mm$). For the crack advance, the failed element removal technique was adopted with a ${\beta}$ criterion. In conclusion, the predicted simulation using RDDT showed a good agreement with the experimental results. A trial using a roughness parameter was made for a new evaluation of J-resistance curve, which is more conservative than the conventional one.

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A Constitutive Model for Plastic Damage of Ductile Materials

  • Nho, In-Sik;Yim, Sahng-Jun;Shin, Jong-Gye
    • Selected Papers of The Society of Naval Architects of Korea
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    • 제2권1호
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    • pp.106-128
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    • 1994
  • An elasto-plastic-damage constitutive model for ductile materials is proposed within the framework of a thermodynamic approach of continuum damage mechanics (CDM) in which internal irreversible thermodynamic changes of micro-structure of materials such as plastic deformation and damage evolution are considered as thermodynamic state variables. The new constitutive model can predict not only the elasto-plastic behaviors but also the sequential stiffness degradation process of ductile materials more rationally.

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수치해석을 이용한 현상학적 연성파괴 모사 기법 (A Numerical Ductile Failure Simulation Technique Based on Phenomenological Damage Concept)

  • 김낙현;오창식;민성환;김윤재
    • 한국압력기기공학회 논문집
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    • 제5권2호
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    • pp.27-34
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    • 2009
  • This paper proposes a simple numerical method to simulate ductile failure behaviors. The method is based on finite element analysis with a simple damage theory. To validate the proposed method, simulated results are compared with experimental data. Despite its simplicity, the proposed method well predicts experimental results systematic analyses are also performed to investigate the effect of the element size.

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ON THE TREATMENT OF DUCTILE FRACTURE BY THE LOCAL APPROACH CONCEPT IN CONTINUUM DAMAGE MECHANICS : THEORY AND EXAMPLE

  • Kim, Seoung-Jo;Kim, Jin-Hee;Kim, Wie-Dae
    • Journal of Theoretical and Applied Mechanics
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    • 제2권1호
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    • pp.31-50
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    • 1996
  • In this paper, a finite element analysis based on the local approach concept to fracture in the continuum damage mechanics is performed to analyze ductile fracture in two dimensional quasi-static state. First an isotropic damage model based on the generalized concept of effective stress is proposed for structural materials in the context of large deformation. In this model, the stiffness degradation is taken as a measure of damage and so, the fracture phenomenon can be explained as the critical deterioration of stiffness at a material point. The modified Riks' continuation technique is used to solve incremental iterative equations. Crack propagation is achieved by removing critically damaged elements. The mesh size sensitivity analysis and the simulation of the well known shearing mode failure in plane strain state are carried out to verify the present formulation. As numerical examples, an edge cracked plate and the specimen with a circular hole under plane stress are taken. Load-displacement curves and successively fractured shapes are shown. From the results, it can be concluded that the proposed model based on the local approach concept in the continuum damage mechanics may be stated as a reasonable tool to explain ductile fracture initiation and crack propagation.

연성파괴 이론을 적용한 튜브 온간액압성형의 성형한계 예측 (Prediction for Forming Limit of Tube Warm Hydroforming Based on the Ductile Fracture Criteria)

  • 이혜경;문영훈;이정환;이영선
    • 소성∙가공
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    • 제16권6호
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    • pp.426-431
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    • 2007
  • Hydroformability and fracture criteria of FE analysis based on ductile fracture were investigated in warm hydroforming of A16061 tube. To evaluate the hydroformability, uni-axial tensile test and bulge test were performed at room temperature and $200^{\circ}C$. The measured flow stresses were used as input parameters for FE analysis. The damage values were calculated by FE analysis based on ductile fracture criteria at maximum radius of free bulged tubes. Damage values were compared of hexagonal shaped hydroformed parts. As a result, the formability by critical damage value for extruded tube is lower than that of full annealed tube up to 0.5.

A plastic strain based statistical damage model for brittle to ductile behaviour of rocks

  • Zhou, Changtai;Zhang, Kai;Wang, Haibo;Xu, Yongxiang
    • Geomechanics and Engineering
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    • 제21권4호
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    • pp.349-356
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    • 2020
  • Rock brittleness, which is closely related to the failure modes, plays a significant role in the design and construction of many rock engineering applications. However, the brittle-ductile failure transition is mostly ignored by the current statistical damage constitutive model, which may misestimate the failure strength and failure behaviours of intact rock. In this study, a new statistical damage model considering rock brittleness is proposed for brittle to ductile behaviour of rocks using brittleness index (BI). Firstly, the statistical constitutive damage model is reviewed and a new statistical damage model considering failure mode transition is developed by introducing rock brittleness parameter-BI. Then the corresponding damage distribution parameters, shape parameter m and scale parameter F0, are expressed in terms of BI. The shape parameter m has a positive relationship with BI while the scale parameter F0 depends on both BI and εe. Finally, the robustness and correctness of the proposed damage model is validated using a set of experimental data with various confining pressure.

연성재료의 소성손상 구성방정식에 관한 연구 (Constitutive Model for Plastic Damage of Ductile Materials)

  • 노인식;임상전;신종계
    • 대한조선학회논문집
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    • 제29권4호
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    • pp.179-192
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    • 1992
  • 연속해 손상역학 분야의 열역학적 정식화 과정에 따라 연성재료의 탄소성-손상 구성방정식을 유도하였다. 이때, 재료 내부의 비가역적인 열역학적 상태변화를 표현하는 소성변형, 손상진전 등의 물리적현상을 내부상태변수로 간주하였다. 이 새로운 구성방정식 모형을 실제 문제에 적용함으로써 연성재료의 탄소성 거동 뿐만 아니라 재료의 자체가 손상을 입어 약화되는 과정 까지도 합리적으로 예측 가능함을 확인할 수 있었다.

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선형 및 비선형 손상 발전 모델을 이용한 고장력강(EH36)의 연성 파단 예측 (Ductile Fracture Predictions of High Strength Steel (EH36) using Linear and Non-Linear Damage Evolution Models)

  • 박성주;박병재;정준모
    • 한국해양공학회지
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    • 제31권4호
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    • pp.288-298
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    • 2017
  • A study of the damage evolution laws for ductile materials was carried out to predict the ductile fracture behavior of a marine structural steel (EH36). We conducted proportional and non-proportional stress tests in the experiments. The existing 3-D fracture strain surface was newly calibrated using two fracture parameters: the average stress triaxiality and average normalized load angle taken from the proportional tests. Linear and non-linear damage evolution models were taken into account in this study. A damage exponent of 3.0 for the non-linear damage model was determined based on a simple optimization technique, for which proportional and non-proportional stress tests were simultaneously used. We verified the validity of the three fracture models: the newly calibrated fracture strain model, linear damage evolution model, and non-linear damage evolution model for the tensile tests of the asymmetric notch specimens. Because the stress evolution pattern for the verification tests remained at mode I in terms of the linear elastic fracture mechanics, the three models did not show significant differences in their fracture initiation predictions.

유한요소기반 다중스케일 연성파손모사 기법을 이용한 원주방향 균열이 존재하는 탄소강 실배관의 파손예측 및 검증 (Finite Element Based Multi-Scale Ductile Failure Simulation of Full-Scale Pipes with a Circumferential Crack in a Low Carbon Steel)

  • 한재준;배경동;김윤재;김종현;김낙현
    • 대한기계학회논문집A
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    • 제38권7호
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    • pp.727-734
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    • 2014
  • 본 논문은 유한요소 기반 다중스케일 연성파손모사 기법을 이용하여 결함이 존재하는 실배관의 파괴거동을 예측한다. 수정응력 파괴변형률 모델을 손상기준으로 선정하고 유한요소 손상해석을 통해 균열진전을 모사한다. 기준식의 결정에는 인장시험과 파괴인성시험 결과만이 요구되며 온도 $288^{\circ}C$ SA333 Gr. 6 탄소강에 적용하여 결과를 제시하였다. 요소크기-의존성 임계손상모델을 도입하여 손상해석의 수치해석적인 불안정성을 개선하였다. 본 연구에서 제안하는 가상시험법의 검증을 위해 미국 바텔 연구소에서 수행한 실배관 실험결과와 예측결과를 비교한다.