• 제목/요약/키워드: Lode angle

검색결과 14건 처리시간 0.023초

A numerical framework of the phenomenological plasticity and fracture model for structural steels under monotonic loading

  • He, Qun;Yam, Michael C.H.;Xie, Zhiyang;Lin, Xue-Mei;Chung, Kwok-Fai
    • Steel and Composite Structures
    • /
    • 제44권4호
    • /
    • pp.587-602
    • /
    • 2022
  • In this study, the classical J2 flow theory is explicitly proved to be inappropriate to describe the plastic behaviour of structural steels under different stress states according to the reported test results. A numerical framework of the characterization of the strain hardening and ductile fracture initiation involving the effect of stress states, i.e., stress triaxiality and Lode angle parameter, is proposed based on the mechanical response of structural steels under monotonic loading. Both effects on strain hardening are determined by correction functions, which are implemented as different modules in the numerical framework. Thus, other users can easily modify them according to their test results. Besides, the ductile fracture initiation is determined by a fracture locus in the space of stress triaxiality, Lode angle parameter, and fracture strain. The numerical implementation of the proposed model and the corresponding code are provided in this paper, which are also available on GitHub. The validity of the numerical procedure is examined through single element tests and the accuracy of the proposed model is verified by existing test results.

3D stress-fractional plasticity model for granular soil

  • Song, Shunxiang;Gao, Yufeng;Sun, Yifei
    • Geomechanics and Engineering
    • /
    • 제17권4호
    • /
    • pp.385-392
    • /
    • 2019
  • The present fractional-order plasticity models for granular soil are mainly established under the triaxial compression condition, due to its difficult in analytically solving the fractional differentiation of the third stress invariant, e.g., Lode's angle. To solve this problem, a three dimensional fractional-order elastoplastic model based on the transformed stress method, which does not rely on the analytical solution of the Lode's angle, is proposed. A nonassociated plastic flow rule is derived by conducting the fractional derivative of the yielding function with respect to the stress tensor in the transformed stress space. All the model parameters can be easily determined by using laboratory test. The performance of this 3D model is then verified by simulating multi series of true triaxial test results of rockfill.

3차원 파단 변형률 평면을 이용한 비보강 원판의 펀칭 파단 시뮬레이션 (Punching Fracture Simulations of Circular Unstiffened Steel Plates using Three-dimensional Fracture Surface)

  • 박성주;이강수;정준모
    • 한국해양공학회지
    • /
    • 제30권6호
    • /
    • pp.474-483
    • /
    • 2016
  • Accidental events such as collisions, groundings, and hydrocarbon explosions in marine structures can cause catastrophic damage. Thus, it is extremely important to predict the extent of such damage, which determines the total amount of oil spills and the residual hull girder strength. Punching fracture tests were conducted by Choung (2009b), where various sizes of indenters and circular unstiffened steel plates with different thicknesses were used to quasi-statically realize damage extents. A three-dimensional fracture strain surface was developed based on a reference (Choung et al., 2015b), where the average stress triaxiality and average normalized Lode angle were used as the parameters governing the fracture of ductile steels. In this study, new numerical analyses were performed using very fine axisymmetric elements in combination with an Abaqus user-subroutine to implement the three-dimensional fracture strain surface. Conventional numerical analyses were also conducted for the tests to identify the best fit fracture strain values by changing the fracture strains. Based on the phenomenon of the average normalized Lode angle starting out positive and then becoming slightly negative, it was inferred that the shear stress primarily dominates in determining the fractures locations, with a partial contribution from the compressive stress. It should be stated that the three-dimensional fracture surface effectively predicted at least the shear stress-dominant fracture behavior of a mild steel.

응력불변량으로 표현한 일반화된 Hoek-Brown 파괴조건식의 등가 마찰각 및 점착력 (Equivalent Friction Angle and Cohesion of the Generalized Hoek-Brown Failure Criterion in terms of Stress Invariants)

  • 이연규;최병희
    • 터널과지하공간
    • /
    • 제22권6호
    • /
    • pp.462-470
    • /
    • 2012
  • 일반화된 Hoek-Brown 암반파괴조건식을 Mohr-Coulomb 파괴조건에 기초한 암반구조물 해석법에 적용시키기 위해서는 등가 마찰각과 등가 점착력을 계산하는 과정이 필요하다. Balmer(1952)이론에 기초한 기존의 접선 순간마찰각과 순간점착력 계산식은 최소주응력 ${\sigma}_3$의 함수로 표시되므로 등가 강도정수의 정수압 의존성 및 응력경로 의존성을 이해하는 데 적합지 않다. 이 연구에서는 응력불변량을 이용하여 일반화된 Hoek-Brown식의 접선 순간마찰각과 순간점착력 계산하는 방법을 제시하여 기존의 방법이 갖는 단점을 극복하였다. 제시된 방법을 이용한 예제 해석을 통해 접선 순간마찰각과 순간점착력의 정수압 의존특성 및 파괴곡면의 팔면체 단면에서 Lode각의 의존성을 고찰하였다. 접선 순간마찰각은 삼축신장 응력조건에서 가장 크며, 접선 순간점착력은 삼축압축 응력조건에서 가장 큰 것으로 나타났다. 접선 순간마찰각과 순간점착력의 정수압 및 Lode각 의존성은 GSI 값이 큰 양호한 암반에서 상대적으로 큰 것으로 나타났다.

극한지용 고장력강의 평균 응력 삼축비 및 평균 정규 로드 파라메터를 고려한 3차원 파단 변형률 평면 개발: 제1부 이론적 배경과 실험적 연구 (Development of Three Dimensional Fracture Strain Surface in Average Stress Triaxiaility and Average Normalized Lode Parameter Domain for Arctic High Tensile Steel: Part I Theoretical Background and Experimental Studies)

  • 정준모;박성주;김영훈
    • 한국해양공학회지
    • /
    • 제29권6호
    • /
    • pp.445-453
    • /
    • 2015
  • The stress triaxiality and lode angle are known to be most dominant fracture parameters in ductile materials. This paper proposes a three-dimensional failure strain surface for a ductile steel, called a low-temperature high-tensile steel (EH36), using average stress triaxiality and average normalized lode parameter, along with briefly introducing their theoretical background. It is an extension of previous works by Choung et al. (2011; 2012; 2014a; 2014b) and Choung and Nam (2013), in which a two-dimensional failure strain locus was presented. A series of tests for specially designed specimens that were expected to fail in the shear mode, shear-tension mode, and compression mode was conducted to develop a three-dimensional fracture surface covering wide ranges for the two parameters. This paper discusses the test procedures for three different tests in detail. The tensile force versus stroke data are presented as the results of these tests and will be used for the verification of numerical simulations and fracture identifications in Part II.

ABAQUS User Material(UMAT)을 이용한 콘크리트 비선형 해석 (Nonlinear Analysis of Concrete Using ABAQUS User Material(UMAT))

  • 조병완;김장호;김영진
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2003년도 봄 학술발표회 논문집
    • /
    • pp.145-152
    • /
    • 2003
  • This paper develops a relatively comprehensive and sophisticated constitutive model of concrete for finite element analysis of concrete structures. The present model accounts for the hydrostatic pressure sensitivity and Lode angle dependence behavior of concrete, not only in its strength criterion, but also in its hardening characteristics. The implementation is carried out through incorporating the developed concrete model in User Subroutine Material(UMAT) of the general-purpose FE program ABAQUS(v.5.8). It is found that the model can sufficiently predict the hardening as well as the softening behaviour of concrete under high confining pressure.

  • PDF

K &C 모델을 이용한 콘크리트 비선형 해석 (Nonlinear Analysis of Concrete Using K & C Model)

  • 김영진;김장호;조병완
    • 한국콘크리트학회:학술대회논문집
    • /
    • 한국콘크리트학회 2003년도 봄 학술발표회 논문집
    • /
    • pp.409-414
    • /
    • 2003
  • This paper develops a relatively comprehensive and sophisticated constitutive model of concrete for finite element analysis of concrete structures. The present model accounts for the hydrostatic pressure sensitivity and Lode angle dependence behavior of concrete, not only in its strength criterion, but also in its hardening characteristics. The implementation is carried out through incorporating the developed concrete model in User Subroutine Material(UMAT) of the general-purpose FE program ABAQUS(v.5.8). It is found that the model can sufficiently predict the hardening as well as the softening behaviour of concrete under high confining pressure.

  • PDF

Slope stability study of an open pit gold mine project in interior Alaska

  • Huang Scott L.
    • 한국지구물리탐사학회:학술대회논문집
    • /
    • 한국지구물리탐사학회 2003년도 Proceedings of the international symposium on the fusion technology
    • /
    • pp.72-77
    • /
    • 2003
  • The study tasked by Ryan Lode Mines, Inc. involved analysis of pit slope stability for two future pits, Ryan and Curlew. A geological discontinuity survey and groundwater information were obtained through a field program. Twenty core logs containing geotechnical information were used for rock mass classification. The kinematic analysis was performed based on a friction angle (${\Phi}=35^{\circ}$), the distribution of geological structures, and a dry slope condition. Factors of safety of pit slopes in two future mines were determined using the limit equilibrium method. The mine slopes and benches designed by Mine Development Associates (MDA) were analyzed. The analysis indicated that both pits should have an overall safety factor above 1.0, provided the slopes are kept dry. However, slopes in both pits exceeding 91.4 m (300 ft) high will become critical, when water fills the cracks and discontinuities.

  • PDF

Punching Fracture Experiments and Simulations of Unstiffened and Stiffened Panels for Ships and Offshore Structures

  • Park, Sung-Ju;Choung, Joonmo
    • 한국해양공학회지
    • /
    • 제34권3호
    • /
    • pp.155-166
    • /
    • 2020
  • Ductile fracture prediction is critical for the reasonable damage extent assessment of ships and offshore structures subjected to accidental loads, such as ship collisions and groundings. A fracture model combining the Hosford-Coulomb ductile fracture model with the domain of solid-to-shell equivalence model (HC-SDDE), was used in fracture simulations based on shell elements for the punching fracture experiments of unstiffened and stiffened panels. The flow stress and ductile fracture characteristics of JIS G3131 SPHC steel were identified through tension tests for flat bar, notched tension bar, central hole tension bar, plane strain tension bar, and pure shear bar specimens. Punching fracture tests for unstiffened and stiffened panels are conducted to validate the presented HC-DSSE model. The calibrated fracture model is implemented in a user-defined material subroutine. The force-indentation curves and final damage extents obtained from the simulations are compared with experimental results. The HC-DSSE fracture model provides reasonable estimations in terms of force-indentation paths and residual damage extents.

A failure criterion for RC members under triaxial compression

  • Koksal, Hansan Orhun
    • Structural Engineering and Mechanics
    • /
    • 제24권2호
    • /
    • pp.137-154
    • /
    • 2006
  • The reliable pushover analysis of RC structures requires a realistic prediction of moment-curvature relations, which can be obtained by utilizing proper constitutive models for the stress-strain relationships of laterally confined concrete members. Theoretical approach of Mander is still a single stress-strain model, which employs a multiaxial failure surface for the determination of the ultimate strength of confined concrete. Alternatively, this paper introduces a simple and practical failure criterion for confined concrete with emphasis on introduction of significant modifications into the two-parameter Drucker-Prager model. The new criterion is only applicable to triaxial compression stress state which is exactly the case in the RC columns. Unlike many existing multi-parameter criteria proposed for the concrete fracture, the model needs only the compressive strength of concrete as an independent parameter and also implies for the influence of the Lode angle on the material strength. Adopting Saenz equation for stress-strain plots, satisfactory agreement between the measured and predicted results for the available experimental test data of confined normal and high strength concrete specimens is obtained. Moreover, it is found that further work involving the confinement pressure is still encouraging since the confinement model of Mander overestimates the ultimate strength of some RC columns.