• 제목/요약/키워드: plane stress/strain

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암석이나 콘크리트와 같은 경화재료에 대한 구성모델 (Constitutive Model for Hardening Materials such as Rock or Concrete)

  • 강병선
    • 대한토목학회논문집
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    • 제13권1호
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    • pp.161-171
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    • 1993
  • 본문은 3차원 응력 공간에서 암석이나 콘크리트등 경성기초 지반재료의 응력 - 변형율 거동에 대해 소성이론에 기초를 두고 Desai 등에 의해 제안된 구성식에 대해 기술하고 이를 증명하기 위해 3주응력을 독립적으로 제어 할 수 있는 고압력 입방체 3축실험기를 이용하여 다양한 응력 경로 실험을 한 것으로 사용재료는 콘크리트 시료를 제작 이용하였으며 그 주요한 결론으로서는 1) 경성재료의 구성모텔은 3주응력이 별도로 제어되는 3축실험을 시행함으로써 다양한 응력경로를 보다 정확히 설명할 수 있다. 이점은 경화재료 특히 암석이나 콘크리트와 같은 재료의 구성식을 설명하는데 있어서 필수적이라고 판단한다. 2) 이와같은 경성재료의 구성식은 항복과 경화거동을 유일한 함수로써 연속적으로 정의할 수 있으므로 지금까지 두개의 함수를 이용하여 표현한 두 항복면의 불연속을 제거할 수 있다. 따라서 두 함수의 교차점에서 sigulality point를 피할 수 있으므로 computer계산에 관련된 난점을 제거할 수 있다. 3) 본 콘크리트와 같은 재료의 경우도 $J_1-{\sqrt{J_{2D}}}$면, 8면체면 그리고 3축면등에서의 항복거동(그림11-그림 14)과 체적변형률(그림 15) 그리고 응력-변형률거동(그림 16-그림 18)에 대해 이론 예측치와 실험결과치가 잘 일치하고 있다.

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The effect of rotation on piezo-thermoelastic medium using different theories

  • Othman, Mohamed I.A.;Ahmed, Ethar A.A.
    • Structural Engineering and Mechanics
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    • 제56권4호
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    • pp.649-665
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    • 2015
  • The present paper attempts to investigate the propagation of plane waves in generalized piezo-thermoelastic medium under the effect of rotation. The normal mode analysis is used to obtain the expressions for the displacement components, the temperature, the stress and the strain components. Comparisons are made with the results predicted by different theories (Coupled theory, Lord-Schulman, Green-Lindsay) in the absence and presence of rotation.

Orthotropic Theory for the Prediction of Mechanical Performance in Thermally Point-bonded Nonwovens

  • Kim, Han-Seong
    • Fibers and Polymers
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    • 제5권2호
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    • pp.139-144
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    • 2004
  • The orthotropic theory is applied for the nonwoven fabrics that have a preferred orientation direction, the case if the structure is not isotropic. The polynomial regression analysis is employed to allow the attainment of more statistically meaningful information. A functional form based on the transformation rule is developed for the orthotropic approach. The predictions thus obtained are seen to be in excellent agreements with experimental data and the resulting compliances exhibit meaningful relationships for the processing conditions. The compatibility of the compliances from tensile and shear analyses has been explored prior to a practical application of the four compliances defining the in-plane strain-stress field.

선삭 가공면의 변형에 관한 절삭모델에 대한 연구 (A Study on Cutting Model for the Plastic Deformation on Turning Operation)

  • 차일남;김윤제
    • 한국정밀공학회지
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    • 제5권1호
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    • pp.29-39
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    • 1988
  • Plastically deformed layer beneath metal surface machined by orthogonal cutting was evaluated in terms of residual stress, microvickers hardness, side spread, and the side strain. An attempt was made to predict the depth of layer according to machining conditions particularly tool geometry and the shear plane angle. In this paper, we employed two models concerning the sliplines. The exact model was validated by comparision of computed and measured tool force and its angle, and the model offers an upper boundary of the deformed layer to be in good agreement with the experiment.

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평면변형률 상태에 있는 연직지반앵커의 파괴모-드 (Failure Modes of Vertical Ground Anchor in Plane Strain)

  • 임종철;용강문부;박성재
    • 한국지반공학회지:지반
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    • 제6권1호
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    • pp.43-58
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    • 1990
  • 지반앵커의 극한인기저항흉을 구하기 위해서는 파괴면의 위치, 파괴면 위의 수직응력 및 마찰각 을 알지 않으면 안된다. 본 연구에서는 평면변형률 모형실험을 통해서, 앵커주변지반의 변형을 관찰하여 파괴면의 위치를 구하고, 앵커표면의 수직응력,전단응력을 실측하므로써 앵커표면의 응력상태를 분석했다. 그리고, 측압계수와 파괴면의 위치의 관계(파괴모-드)를 구하구 무차원 계수인 극한인발저항력계수를 이용하여 극한51기저항력의 산정식을 제안했다.

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Crack-tip constraint analysis of two collinear cracks under creep condition

  • Jiao, Guang-Chen;Wang, Wei-Zhe;Jiang, Pu-Ning
    • Structural Engineering and Mechanics
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    • 제43권3호
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    • pp.311-320
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    • 2012
  • The higher-order asymptotic C(t) - $A_2(t)$ approach was employed to investigate the crack-tip stress of two collinear cracks in a power-law creeping material under the plane strain conditions. A comprehensive calculation was made of the single crack, collinear crack model with S/a = 0.4 and 0.8, by using the C(t) - $A_2(t)$ approach, HRR-type field and the finite element analysis; the latter two methods were used to check the constraint significance and the calculation accuracy of the C(t) - $A_2(t)$ approach, respectively. With increasing the creep time, the constraint $A_2$ was exponentially increased in the small-scale creep stage, while no discernible dependency of the constraint $A_2$ on the creep time was found at the extensive creep state. In addition, the creep time and the mechanical loads have no distinct influence on accuracy of the results obtained from the higher-order asymptotic C(t) - $A_2(t)$ approach. In comparison with the HRR-type field, the higher-order asymptotic C(t) - $A_2(t)$ solution matches well with the finite element results for the collinear crack model.

입자 영상 해석을 이용한 고분자 지지체 변형 측정 (Deformation Measurement of Polymer Scaffold Using Particle Image Analysis)

  • 강민제;오상훈;이계한
    • 한국정밀공학회지
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    • 제33권1호
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    • pp.69-75
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    • 2016
  • Polydimethylsiloxane (PDMS) is used as a scaffold for cell culture. Because both the stress and strain acting on the substrate and the hemodynamic environment are important for studying mechano-transduction of cellular function, the traction force of the surface of a substrate has been measured using fluorescence images of particle distribution. In this study, deformation of the cross-sectional plane of a PDMS block was measured by correlating particle image distributions to validate the particle image strain measurement technique. Deformation was induced by a cone indentor and a shearing parallel plate. Measured deformations from particle image distributions were in agreement with the results of a computational structure analysis using the finite-element method. This study demonstrates that the particle image correlation method facilitates measurement of deformation of a polymer scaffold in the cross-sectional plane.

힘평형법을 이용한 V-형다이 평면변형 자유형 단조공정의 초기변형 해석 (The Incipient Deformation Analysis for Plane Strain Open-Die Forging Processes with V-shaped Dies Using the Force Balance Method)

  • Lee, J.H.;Kim, B.M.
    • 한국정밀공학회지
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    • 제10권4호
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    • pp.109-117
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    • 1993
  • Force balance method is employed to predict forging information such as forging load, tool pressure and normal stress at the surface of tangential velocity discontinuity. The incipient stages of deformation for the plane strain forging of rectangular billets in V-shaped dies of different semi-angles are analysed. To construct an approximate model for the analysis of deformation by the force balance method in the incipient deformation stages, slip-line field is used. When the deformation mode by slip-line method is the same as that by force balance method, the slip-line method and the force balance method give identical solutions. The effects of die angle, coefficient of friction, billet geometries and deforma- tion characteristics are also investigated. In order to verify the validity of force balance analysis, the rigid-plastic finite element simulation for the various forgig parameters are performed and performed and find to be in good agreement.

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다양한 하중경로에서의 DP980 강판의 파단변형률 예측에 관한 연구 (Prediction of Fracture Strains for DP980 Steel Sheets for a Wide Range of Loading Paths)

  • 박남수;허훈
    • 소성∙가공
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    • 제24권3호
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    • pp.176-180
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    • 2015
  • The current study is concerned with the prediction of fracture strains for DP980 steel sheets over a wide range of loading paths. The use of DP980 steel is increasing significantly in automotive industries for enhanced safety and higher fuel efficiency. The material behavior of advanced high-strength steels (AHSSs) sheets sometimes show unpredictable and sudden fracture during sheet metal forming. A modified Lou-Huh ductile fracture criterion is utilized to predict the formability of AHSSs because the conventional forming limit diagram (FLD) constructed based on necking is unable to evaluate the formability of AHSSs sheets. Fracture loci were extracted from three dimensional fracture envelopes by assuming the plane-stress condition to evaluate equivalent plastic strains at the onset of fracture for a wide range of loading paths. Three different types of specimens -- pure shear, dog-bone and plane strain grooved -- were utilized for tensile testing to calibrate the fracture model of DP980 steel sheets. Fracture strains of each loading path were evaluated such that there shows little deviation between fracture strains predicted from the fracture model and the experimental measurements. From the comparison, it is clearly shown that the three dimensional fracture envelopes can accurately predict the onset of the fracture of DP980 steel sheets for complicated loading conditions from compressive loading to shear loading and to equibiaxial tensile loading.

Bearing capacity at the pile tip embedded in rock depending on the shape factor and the flow

  • Ana S. Alencar;Ruben A. Galindo;Miguel A. Millan
    • Computers and Concrete
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    • 제31권5호
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    • pp.443-455
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    • 2023
  • This is a research analyses on the bearing capacity at a pile tip embedded in rock. The aim is to propose a shape coefficient for an analytical solution and to investigate the influence of the plastic flow law on the problem. For this purpose, the finite difference method is used to analyze the bearing capacity of various types and states of rock masses, assuming the Hoek & Brown failure criterion, by considering both plane strain and an axisymmetric model. Different geometrical configurations were adopted for this analysis. First, the axisymmetric numerical results were compared with those obtained from the plane strain analytical solution. Then the pile shape influence on the bearing capacity was studied. A shape factor is now proposed. Furthermore, an evaluation was done on the influence of the plastic flow law on the pile tip bearing capacity. Associative flow and non-associative flow with null dilatancy were considered, resulting in a proposed correlation. A total of 324 cases were simulated, performing a sensitivity analysis on the results and using the graphic output of vertical displacement and maximum principal stress to understand how the failure mechanism occurs in the numerical model.