• Title/Summary/Keyword: Non-proportional stress

Search Result 38, Processing Time 0.027 seconds

Failure analysis of tubes under multiaxial proportional and non-proportional loading paths

  • Mohammad Hossein Iji;Ali Nayebi
    • Steel and Composite Structures
    • /
    • v.47 no.2
    • /
    • pp.289-296
    • /
    • 2023
  • The failure of a thin-walled tube was studied in this paper based on three failure models. Both proportional and non-proportional loading paths were applied. Proportional loading consisted of combined tension-torsion. Cyclic non-proportional loading was also applied. It was a circular out-of-phase axial-shear stress loading path. The third loading path was a combination of a constant internal pressure and a bending moment. The failure models under study were equivalent plastic strain, modified Mohr-Coulomb (Bai-Wierzbicki) and Tearing parameter models. The elasto-plastic analysis was conducted using J2 criterion and nonlinear kinematic hardening. The return mapping algorithm was employed to numerically solve the plastic flow relations. The effects of the hydrostatic stress on the plastic flow and the stress triaxiality parameter on the failure were discussed. Each failure model under study was utilized to predict failure. The failure loads obtained from each model were compared with each other. The equivalent plastic strain model was independent from the stress triaxiality parameter, and it predicted the highest failure load in the bending problem. The modified Mohr-Coulomb failure model predicted the lowest failure load for the range of the stress triaxiality parameter and Lode's angle.

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

  • Park, Sung-Ju;Park, Byoungjae;Choung, Joonmo
    • Journal of Ocean Engineering and Technology
    • /
    • v.31 no.4
    • /
    • pp.288-298
    • /
    • 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.

An Overstress Model for Non-proportional Loading of Nylon 66 (Nylon 66의 무비례 하중에 대한 과응력 모델)

  • Ho, Gwang-Su
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.25 no.12
    • /
    • pp.2056-2061
    • /
    • 2001
  • Non-proportional loading tests of Nylon 66 at room temperature exhibit path dependent behavior and plasticity-relaxation interactions. The uniaxial formulation of the viscoplasticity theory based on overstress (VBO), which has been used to reproduce the nonlinear strain rate sensitivity, relaxation, significant recovery and cyclic softening behaviors of Nylon 66, is extended to three-dimensions to predict the response in strain-controlled, comer-path tests. VBO consists of a flow law that is easily written for either the stress or the strain as the independent variable. The flow law depends on the overstress, the difference between the stress and the equilibrium stress that is a state variable in VBO. The evolution law of the equilibrium stress in turn contains two additional state variables, the kinematic stress and the isotropic stress. The simulations show that the constitutive model is competent at modeling the deformation behavior of Nylon 66 and other solid polymers.

Modeling of the Mechanical Behavior of Polycrystalline Shape-Memory Alloys by a Homogenization Method (균질화법에 의한 다결정 형상기억합금의 기계적 거동 모델링)

  • Gu, Byeong-Chun;Jo, Jin
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.24 no.5 s.176
    • /
    • pp.1352-1361
    • /
    • 2000
  • We obtain a micromechanics-based Helmholtz free energy and then in the framework of irreversible thermodynamics, a kinetic relation, a martensitic nucleation criterion and the reorientation criterion of martensitic variants are obtained. These relations are valid for a three-dimensional proportional and non-proportional loadings and for a combination of mechanical and thermal loading. From the simulated pseudoelastic stress-strain relation of a single crystal with loading rate effect, polycrystalline behavior in case of proportional and non-proportional loading is predicted by a homogenization method. The obtained results are compared quantitatively with experimental results.

Multiaxial ratcheting behavior of Inconel 718 at elevated temperature (Inconel 718 의 고온 다축피로하중 하에서의 라체팅 거동)

  • Kim, Hyo-Shin;Kim, Kwang-Soo
    • Proceedings of the KSME Conference
    • /
    • 2008.11a
    • /
    • pp.344-349
    • /
    • 2008
  • Ratcheting behavior of IN 718 was investigated at $649^{\circ}C$ under various proportional and non-proportional loading conditions with stress control. The material response was initially elastic but substantial plastic strain was developed as the material softened cyclically. Ratcheting strain was measured to near fatigue life, and is found to have three stages of development - primary, secondary (steady-state) and tertiary. The secondary stage dominates for most cases. Under the same equivalent stress amplitude and mean stress, it was revealed that circular path loading gives higher ratcheting rates and shorter lives than linear paths and that the more ratcheting occurs when the cyclic load is in the same direction as the mean stress. The ratcheting strain at failure depends not only on its rate but also on fatigue life itself, and it is not a primary life-determining factor.

  • PDF

Structural Stability Estimation of Non-slip Steel Grating (미끄럼 방지용 금속 그레이팅의 구조적 안정성 평가)

  • Son, In-Soo
    • Journal of the Korean Society of Industry Convergence
    • /
    • v.24 no.4_2
    • /
    • pp.501-507
    • /
    • 2021
  • In this study, In order to prevent the safety accidents caused by the sliding, to develop the non-slip grating, the stability judgment based on the span length of the grating and the gap of the bearing bar is performed. The structural analysis of Grating was carried out in accordance with the provisions set out in Grating's load-bearing test conditions. As the span length increases, the deflection increases and the stress and span length tend to be proportional to each other. It was shown that the larger the span, the linear increase in stress and exponential increase in deformation of grating. The maximum stress of grating was approximately 58.2 MPa, indicating a very stable safety rate of about 4.3 compared to the yield strength of the grating material. Based on these results, it will be able to be utilized as the basic data for determining the optimal dimensions of non-slip grading by performing optimal designs in the future.

Fatigue Life Analysis of Composite Materials (복합재료의 피로수명 해석)

  • 이창수;황운봉;박현철;한경섭
    • Proceedings of the Korean Society For Composite Materials Conference
    • /
    • 1999.11a
    • /
    • pp.268-271
    • /
    • 1999
  • Fatigue life Prediction is investigated analytically based on the fatigue modulus concept. Fatigue modulus degradation rate at any fatigue cycle was assumed as a power function of number of fatigue cycles. New stress function describing the relation of initial fatigue modulus and elastic modulus was used to account for material non-linearity at the first cycle. It was assumed that fatigue modulus at failure is proportional to applied stress level. A new fatigue life prediction equation as a function of applied stress is proposed. The prediction was verified experimentally using cross-ply carbon/epoxy laminate (CFRP) tube.

  • PDF

Evaluation of Anisotropic Hardening Models using Two-Step Tension Tests (2단 인장 실험을 통한 이방성 경화 모델의 평가)

  • Ha, J.;Lee, M.G.;Barlat, Frederic
    • Transactions of Materials Processing
    • /
    • v.21 no.6
    • /
    • pp.372-377
    • /
    • 2012
  • In this study, the plastic flow behaviors of extra deep drawing quality (EDDQ) steel subjected to non-proportional strain paths were investigated. Two-step uniaxial tension tests, in which the first step was performed in the rolling direction (RD) and the subsequent test in different directions in $15^{\circ}$ increments from the RD, were conducted. The experiments clearly showed that stress overshooting and strain hardening stagnation were the dominant features, which were captured reasonably well using a recently proposed distortional hardening model.

Numerical Analysis of Non-Newtonian Behavior in the Fluid Film Layer of Bearing Lubrication (베어링 윤활 필름층의 비뉴튼성 거동에 대한 수치적 해석)

  • 김준현;김주현
    • Tribology and Lubricants
    • /
    • v.16 no.5
    • /
    • pp.341-350
    • /
    • 2000
  • The study reported in this paper deals with the development for parametric investigation of the influence of the rheological properties of the lubricant in the thermohydrodynamic (THD) film conditions which occur in slider and journal bearings. A parametric investigation based on a Bingham model with a shear yield stress which best fit the experimental pressure is performed for predicting the thickness of the shear Bone in lubricating films with fixed geometry between the stationary and moving surfaces. The results suggest that the shear yield stress for the lubricating film is proportional to the pressure developed in the film within the range of the investigated cases and the shear zone thickness which is of the same order of magnitude as that obtained by the empirical formula is significantly smaller than the fluid film thickness in the lubrication zone.

Optimal Dimension Design and Stability Analysis of Non-slip Steel Grating (금속 그레이팅의 높이변화에 따른 최적치수 설계 및 안정성 해석)

  • Son, In-Soo
    • Journal of the Korean Society of Industry Convergence
    • /
    • v.25 no.3
    • /
    • pp.357-363
    • /
    • 2022
  • In this study, in order to develop an non-slip metal grating, the stability of the grating according to the span of the grating and the gap and height of the bearing bar was evaluated. The optimal shape design of the grating was performed using the results of determining the stability of the grating. The purpose of this study is to determine the stability according to the spacing and height of the bearing bar by applying the design pressure at the design stage to develop the anti-skid grating, and to design the optimal shape for cost reduction. In the optimal design, the target variable was set as the mass, and the optimal design of the grating was performed based on about 20%. Regardless of the height of the bearing bar of the grating, the stress and deformation of the span and the grating showed a proportional tendency to each other, and it was found that the stress decreased as the height of the bearing bar increased. Based on the structural analysis results, an optimal design was performed using mass as the objective variable, and the existing 2mm thickness was changed to 1.6mm, reducing the mass by about 19%. The stress increased by about 4.4% compared to the maximum stress of the existing grating, but the minimum safety factor was 3.1, indicating that the optimally designed grating was stable.