• 제목/요약/키워드: effective stress constitutive model

검색결과 61건 처리시간 0.023초

점소성 유한요소법에 의한 이차원 절삭의 구성인선 해석 (Built-Up Edge Analysis of Orthogonal Cutting By Visco-Plastic Finite Element Method)

  • 김동식
    • 한국공작기계학회:학술대회논문집
    • /
    • 한국공작기계학회 1995년도 추계학술대회 논문집
    • /
    • pp.60-63
    • /
    • 1995
  • The behavior of the work materials in the chip-tool interface in extremely high strain rates and temperatures is more that of viscous liquids than that of normal solid metals. In these circumstances the principles of fluid mechanics can be invoked to describe the metal flow in the neighborhood of the cutting edge. In the present paper an Eulerian finite element model is presented that simulates metal flow in the vicinity of the cutting edge when machining a low carbon steel with carbide cutting tool. The work material is assumed to obey visco-plastic (Bingham solid) constitutive law and Von Mises criterion. Heat generation is included in the model, assuming adiabatic conditions within each element. the mechanical and thermal properties of the work material are accepted to vary with the temperature. The model is based on the virtual work-stream function formulation, emphasis is given on analyzing the formation of the stagnant metal zone ahead of the cutting edge. The model predicts flow field characteristics such as material velocity effective stress and strain-rate distributions as well as built-up layer configuration

  • PDF

Nonlinear analysis of prestressed concrete structures considering slip behavior of tendons

  • Kwak, Hyo-Gyoung;Kim, Jae-Hong;Kim, Sun-Hoon
    • Computers and Concrete
    • /
    • 제3권1호
    • /
    • pp.43-64
    • /
    • 2006
  • A tendon model that can effectively be used in finite element analyses of prestressed concrete (PSC) structures with bonded tendons is proposed on the basis of the bond characteristics between a tendon and its surrounding concrete. Since tensile forces between adjacent cracks are transmitted from a tendon to concrete by bond forces, the constitutive law of a bonded tendon stiffened by grouting is different from that of a bare tendon. Accordingly, the apparent yield stress of an embedded tendon is determined from the bond-slip relationship. The definition of the multi-linear average stress-strain relationship is then obtained through a linear interpolation of the stress difference at the post-yielding stage. Unlike in the case of a bonded tendon, on the other hand, a stress increase beyond the effective prestress in an unbonded tendon is not section-dependent but member-dependent. The tendon stress unequivocally represents a uniform distribution along the length when the friction loss is excluded. Thus, using a strain reduction factor, the modified stress-strain curve of an unbonded tendon is derived by successive iterations. The validity of the proposed two tendon models is verified through correlation studies between analytical and experimental results for PSC beams and slabs.

Simulation of concrete shrinkage taking into account aggregate restraint

  • Tangtermsirikul, Somnuk;Nimityongskul, Pichai
    • Structural Engineering and Mechanics
    • /
    • 제5권1호
    • /
    • pp.105-113
    • /
    • 1997
  • This paper proposes a model for simulating concrete shrinkage taking into account aggregate restraint. In the model, concrete is regarded as a two-phase material based on shrinkage property. One is paste phase which undergoes shrinkage. Another is aggregate phase which is much more volumetrically stable. In the concrete, the aggregate phase is considered to restrain the paste shrinkage by particle interaction. Strain compatibility was derived under the assumption that there is no relative macroscopic displacement between both phases. Stresses on both phases were derived based on the shrinking stress of the paste phase and the resisting stress of the aggregate phase. Constitutive relation of paste phase was adopted from the study of Yomeyama, K. et al., and that of the aggregate phase was adopted from the author's particle contact density model. The equation for calculating concrete shrinkage considering aggregate restraint was derived from the equilibrium of the two phases. The concrete shrinkage was found to be affected by the free shrinkage of the paste phase, aggregate content and the stiffness of both phases. The model was then verified to be effective for simulating concrete shrinkage by comparing the predicted results with the autogeneous and drying shrinkage test results on mortar and concrete specimens.

점성토의 시간의존적 응력 - 변형 특성에 관한 연구 (Study on the Time Dependent Stress-Strain Behavior of Clay)

  • 지인택;강우묵
    • 한국농공학회지
    • /
    • 제30권4호
    • /
    • pp.134-153
    • /
    • 1988
  • This paper was carried out to investigate the existence of a unique stress- strain behavior by obtaining some factors influencing the time dependent stress- strain behavior of clay. The results obtained from this study were summarized as follows ; 1. The relationship between stress ratro and strain in normally consolidated clay was in- dependent on pre-shear consolidation pressure. Therefore, shear strain could be expressed as a function with stress ratio. 2. The constitutive equation of shear strain on Modified Carn Clay Model coincided better with the observed value than Cam Clay Model. 3. The relationships between deviator stress and shear strain, between pore water pressure and shear strain were unified by the mean equivalent pressure. 4. The shear strain contour in norrnally consolidated clay was increased linearly through origin, but that in overconsolidated clay was not in accordance with the result of the former. 5. Because the effective stress path of normally consolidated clay was unified by the mean equivalent pressure, state boundary surface in (e,p,q) space was transformed into two dimensional surface. But it was considered to be suitable that the unified stress- strain in overconsolidated clay be expressed by a function with overconsolidation ratio. 6. The deviator for constant strain was increased linearly with increment of strain rate ($\varepsilon$) on semi-log scale, but pore water pressure was decreased. 7. The behavior of stress relaxation was transformed from linear to curvilinear with inc - rement of strain rate before stress relaxation test, and pore water pressure was increased in total range. 8. The strain of creep was increased linearly with increment of time on semi-log scale. The greater the strain rate before creep test became, the greater the increment of strain of creep became. And the pore water pressure during creep test was increased generally with increment of time on semi-log scale.

  • PDF

A novel method for solving structural problems: Elastoplastic analysis of a pressurized thick heterogeneous sphere

  • Abbas Heydari
    • Advances in Computational Design
    • /
    • 제9권1호
    • /
    • pp.39-52
    • /
    • 2024
  • If the governing differential equation arising from engineering problems is treated as an analytic, continuous and derivable function, it can be expanded by one point as a series of finite numbers. For the function to be zero for each value of its domain, the coefficients of each term of the same power must be zero. This results in a recursive relationship which, after applying the natural conditions or the boundary conditions, makes it possible to obtain the values of the derivatives of the function with acceptable accuracy. The elastoplastic analysis of an inhomogeneous thick sphere of metallic materials with linear variation of the modulus of elasticity, yield stress and Poisson's ratio as a function of radius subjected to internal pressure is presented. The Beltrami-Michell equation is established by combining equilibrium, compatibility and constitutive equations. Assuming axisymmetric conditions, the spherical coordinate parameters can be used as principal stress axes. Since there is no analytical solution, the natural boundary conditions are applied and the governing equations are solved using a proposed new method. The maximum effective stress of the von Mises yield criterion occurs at the inner surface; therefore, the negative sign of the linear yield stress gradation parameter should be considered to calculate the optimal yield pressure. The numerical examples are performed and the plots of the numerical results are presented. The validation of the numerical results is observed by modeling the elastoplastic heterogeneous thick sphere as a pressurized multilayer composite reservoir in Abaqus software. The subroutine USDFLD was additionally written to model the continuous gradation of the material.

RC 기둥 보강을 위한 새로운 강판 보강기법 및 수정 연속체 모델 (A new steel jacketing method for RC columns and a modified constitutive model of jacketed concrete)

  • 태기호;최은수
    • 한국강구조학회 논문집
    • /
    • 제20권5호
    • /
    • pp.675-681
    • /
    • 2008
  • 본 연구에서는 강자켓을 이용하여 RC 기둥을 보강하는 기법으로 분리되지 않은 스테인리스-강자켓으로 보강된 콘크리트 공시체를 제작하여 횡방향 구속응력을 적용시켜 보강 하는 방법을 제안하였다. 제시된 기법의 성능을 평가하기 위해 1.0, 1.5 및 2.0 mm 두께로 제작된 강판을 변수로 하여 3개의 무보강과 9개의 보강 콘크리트 공시체를 제작하였다. 횡방향 구속응력 도입을 위해 클램프가 사용되었으며 보강된 시 편과 보강되지 않은 시편의 압축실험의 결과가 비교 분석 되었다. 실험결과 보강 강판의 두께가 증가할 수 록 압축강도가 증가했으며, 강자켓과 콘크리트는 복합거동을 하지 않으며, 실린더 중앙부가 팽창되는 것을 확인할 수 있었다. 마지막으로 실험 데이터로부터 얻은 콘크리트 공시체의 응력-변형률을 Li의 연속체 모델로 재현하여 비교 분석하였다. Li의 제안모델은 콘크리트 공시체의 항복 후의 거동에서는 오차가 커 적용이 어려움에 착안하여 수정된 Li 모델을 제안하였다. 수정된 Li 모델은 Li 모델에서 항복 후 영역의 n 값을 수정하여 얻어졌으며, 이 모델은 콘크리트의 항복 전 그리고 항복 후에도 실험값과 유사하게 재현됨을 알 수 있었다. 이로써 Li 모델의 n 값을 적절히 조절하면 실험값을 재현하는데 긍정적으로 쓰일 것으로 판단된다.

Experimental study on the shear failure model for concrete under compression-shear loading

  • Shu, Xiaojuan;Luo, Yili;Zhao, Chao;Dai, Zhicheng;Zhong, Xingu;Zhang, Tianyu
    • Computers and Concrete
    • /
    • 제29권2호
    • /
    • pp.81-92
    • /
    • 2022
  • The influence of normal stress perpendicular to the potential shear plane was always neglected in existing researches, which may lead to a serious deviation of the shear strength of concrete members in practice designs and numerical analyses. In this study, a series of experimental studies are carried out in this paper, which serves to investigate the shear behavior of concrete under compression shear loading. Based on the test results, a three-phase shear failure model for cohesive elements are developed, which is able to take into consideration the influence of normal stress on the shear strength of concrete. To identify the accuracy and applicability of the proposed model, numerical models of a double-noted concrete plate are developed and compared with experimental results. Results show that the proposed constitutive model is able to take into consideration the influence of normal stress on the shear strength of concrete materials, and is effective and accurate for describing the complex fracture of concrete, especially the failure modes under compression shear loadings.

Axial compressive behavior of concrete-filled steel tube columns with stiffeners

  • Liang, Wei;Dong, Jiangfeng;Wang, Qingyuan
    • Steel and Composite Structures
    • /
    • 제29권2호
    • /
    • pp.151-159
    • /
    • 2018
  • In order to reduce the deformation and delay the local buckling of concrete filled steel tube (CFST) columns, strengthening the structures with stiffeners is an effective method. In this paper, a new stiffening method with inclined stiffeners was used to investigate the behaviors of short CFST columns under axial compression. Besides, a three-dimensional nonlinear finite element (FE) model was applied to simulate the mechanical performances, including the total deformation, local buckling, and stress-strain relationship. Revised constitutive models of stiffened steel tube and confined concrete are proposed. A good agreement was achieved between the test and FE results. Furthermore, the calculated results of load capacity by using a simplified method also show a good correlation with experimental data.

저치환율 SCP 복합지반의 2차원 유한요소 해석기법 개발과 적용 (Two Dimensional Finite Element Analysis on the Composite Ground Improved by Sand Compaction Piles with Low Area Replacement Ratio)

  • 신현영;한상재;김수삼;김재권;심성현
    • 한국지반공학회:학술대회논문집
    • /
    • 한국지반공학회 2006년도 춘계 학술발표회 논문집
    • /
    • pp.394-401
    • /
    • 2006
  • This study developed two dimensional finite element program(FE-SCP) for the analysis of a composite ground reinforced by sand compaction piles with a low area replacement ratio based on the Mohr-Coulomb elastic perfectly plastic constitutive model. Program FE-SCP give some conveniences to users such as automatic mesh generation according to the replacement ratio and the effective sand pile diameter in the post processor. Also, it contains optimum processor in calculation of In-situ stress equilibrium considering different coefficient of earth pressure between sand pile and surrounding clay. Estimated stress-strain behavior using FE-SCP and the measured one from a centrifuge test showed good agreement comparing to the result from a general finite element program.

  • PDF

흙의 변형 거동 예측을 위한 비선형 이방성 모델의 개발과 적용 (Numerical Analysis of Anisotropic Soil Deformation by the Nonlinear Anisotropic Model)

  • 정충기;정영훈;윤충구
    • 한국지반공학회논문집
    • /
    • 제18권5호
    • /
    • pp.237-249
    • /
    • 2002
  • 파괴 이전 상태의 낮은 변형률 수준 하에서 정확한 지반 변형 거동 예측을 위해서는 흙의 비선형성과 이방성을 함께 고려해야 한다. 본 연구에서는 Ramberg-Osgood 식을 이용하여 흙의 비선형성을 모사하고 직교이방성을 도입하여 흙의 이방성을 구현한 새로운 모델을 개발하였다. 새롭게 개발한 비선형 이방성 모델을 여러 비교 대상 모델과 함께 간단한 경계치 문제와 원형 기초 문제에 적용하였다. 그 결과 이방성을 나타내는 탄성계수비가 체적 계수, 정지 토압계수, 그리고 유효 응력 경로에 큰 영향을 미치는 사실을 알아내었으며, 원형 기초 해석을 통해 초기 지중 응력 상태를 고려한 흙의 비선형성이 지표 침하에 큰 영향을 줌을 알 수 있었다.