• Title/Summary/Keyword: 응력 함수

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Dependency of Tangential Friction Angle and Cohesion of Non-linear Failure Criteria on the Intermediate Principal Stress (비선형 암석 파괴조건식의 접선 마찰각과 점착력의 중간주응력 의존성)

  • Lee, Youn-Kyou;Choi, Byung-Hee
    • Tunnel and Underground Space
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    • v.23 no.3
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    • pp.219-227
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    • 2013
  • Although Mohr-Coulomb failure criterion has limitations in that it is a linear criterion and the effect of the intermediate principal stress on failure is ignored, this criterion has been widely accepted in rock mechanics design. In order to overcome these shortcomings, the Hoek-Brown failure criterion was introduced and recently a number of 3-D failure criteria incorporating the effect of the intermediate principal stress on failure have been proposed. However, in many rock mechanics designs, the possible failure of rock mass is still evaluated based on Mohr-Coulomb criterion and most of practitioners are accustomed to understanding the strength of rock mass in terms of the internal friction angle and cohesion. Therefore, if the equivalent Mohr-Coulomb strength parameters of the advanced failure criteria are calculated, it is possible to take advantage of the advanced failure criteria in the framework of the Mohr-Coulomb criterion. In this study, a method expressing the tangential Mohr-Coulomb strength parameters in terms of the stress invariant is proposed and it is applied to the generalized Hoek-Brown criterion and the HB-WW criterion. In addition, a new approach describing the geometric meaning of the ${\sigma}_2$-dependency of failure criteria in 3-D principal stress space is proposed. Implementation examples of the proposed method show that the influence of the intermediate principal stress on the tangential friction angle and cohesion of the HB-WW criterion is considerable, which is not the case for the 2-D failure criterion.

Study on Stress Waves for Development of Glulam from Domestic Small Diameter Log (II) - Static Bending Properties of Glulam Member - (국산 소경재를 이용한 집성재 개발을 위한 응력파 연구(II) - Glulam 부재의 휨강도 특성 -)

  • Cha, Jae-Kyung
    • Journal of the Korean Wood Science and Technology
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    • v.24 no.4
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    • pp.7-14
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    • 1996
  • 두께가 20mm와 30mm이고 폭이 40mm와 60mm 인 길이 600mm의 낙엽송 제재목에 응력파 시험과 휨강도 시험을 실시하였다. 모든 시험편은 생재 상태로 구입 후 함수율 약 13%로 조습 처리하여 응력파 시험과 휨강도 시험을 시행하였다. 휨 영계수와 휨강도는 두께가 큰 것이 작게 나타났다. 최상의 상관관계는 휨 영계수와 양 표면에서 구한 값의 평균값을 사용한 응력파 속도 및 영계수 사이에 나타났다. 휨 영계수와 관계에서 응력파 영계수는 응역파 속도 보다 더 확연한 옹이의 영향을 보였다.

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Photoelastic Analysis of Stress Field in the Neighborhood of a Mixed Mode Crack Tip (혼합모드 크랙 선단응력의 광탄성해석)

  • 백태현
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.11
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    • pp.2072-2081
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    • 1992
  • Theoretical fringe patterns were calculated and regenerated by using power series type Williams equations and coefficients estimated from the photoelastic data. Results of calculated values were evaluated by comparing experimental data points with the regenerated theoretical fringe loops. Statistical accuracy evaluation between regenerated fringe values and experimental ones showed that standard deviation was minimum and correlation coefficient was maximum when the first four terms of Wiliams equations were used.

In-situ Stress Measurement Using AE and DRA (AE와 DRA를 이용한 초기응력의 측정에 관한 연구)

  • Park, Pae-Han;Jeon, Seok-Won;Kim, Yang-Kyun
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.3 no.1
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    • pp.51-62
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    • 2001
  • In-situ stress measurement using AE (Acoustic Emission) and DRA (Deformation Rate Analysis) is usually carried out under uniaxial loading in the laboratory and it consumes delay time from drilling to testing. Therefore, it should be considered how the lateral stress and delay time influence on the test results for the in-situ stress determination. As the delay time increased, the accuracy of estimating the pre-stress decreased. The pre-stress of the specimen loaded only axially was determined within an error of less than 9% (using AE) and 4% (using DRA). And the specimen on which axial pre-stress and the confining pressure were loaded had an error of less than 17% (using AE) and 14% (using DRA). The results of AE and DRA for field specimens were very similar with each other but smaller than those of hydraulic fracturing method.

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System Design and H/W Development of the Residual Stress Measurement for Ferromagnetic thin Sheet (강자성 박판소재의 잔류응력 측정 시스템의 설계 및 제작)

  • 김상원;양충진
    • Journal of the Korean Magnetics Society
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    • v.11 no.2
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    • pp.50-57
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    • 2001
  • Magnetic inductive probe was designed and assembled for sensing the residual stress developed in the ferromagnetic thin sheet. The residual stress measurement system with this probe could resolve the residual stresses developed in the sheet in terms of principal stress orientation, and magnitude of the principal stress. It was consumed that the obtained probe output voltage from the qualified ferromagnetic Fe-42Ni lead frame sheet and quality-rejected sheet is effectively determined using the developed device. The lead frame sheet which has accumulated a high level of residual stress always showed a distinctive stress distribution and magnitude compared with those of qualified lead frame sheet. Those differences were well resolved as functions of input current or used frequency.

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A Development of Seepage Analysis Model for Unsaturated Soil during Rainfall (강우시 불포화지반의 침투해석모형 개발)

  • Lee, Jung-Sik;Han, Heui-Soo;Jang, Jin-Uk
    • Proceedings of the Korea Water Resources Association Conference
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    • 2009.05a
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    • pp.796-800
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    • 2009
  • 토목구조물 및 사면의 붕괴는 집중호우가 내리는 경우 많이 발생하고 있으며, 특히 사면에서는 붕괴까지의 변형이 급속히 진행되어 이를 사전에 예방하기는 매우 어려운 현실이다. 침투 및 배수과정에서의 사면 붕괴는 강우침투로 인한 지반의 물리적 특성변화가 직접적으로 사면의 안전계수 변화에 영향을 주는 것으로 판단되며, 이때 발생하는 물리적 특성변화로는 침투시 사면 내 지반의 단위 중량은 증가하여 전단응력의 증가 및 전단강도 감소현상이 발생하며, 이와 반대로 사면 내 배수로 인하여 전단응력의 감소 및 전단강도의 증가현상이 발생한다. 따라서 본 연구에서는 강우침투로 발생하는 지반의 포화도 변화를 지반 내 투수계수의 함수로 설명하여 강우로 인한 지반의 침투 및 배수과정을 규명하고자 한다. 일반적으로 지반 내 지하수의 침투과정은 라플라스 공식을 적용한다. 그러나 라플라스 공식은 정상 상태(Steady State)일 경우에만 사용할 수 있고, 강우 등으로 인한 지하수의 수두 변화가 발생한 비정상 상태(Unsteady State)의 경우에는 부적합하므로 사면과 옹벽 등의 토질구조물에서는 안전성 변화를 계산할 수 없다. 이를 위해 사면 내 지반의 침투 및 배수과정을 투수계수의 함수로 나타내어, 강우의 침투과정을 Fourier Series, 변수분리법 및 섭동함수를 사용하여 식으로 유도함으로서 강우에 의한 지반의 침투 및 배수과정에 따른 사면 내 지하수의 분포를 예측한다. 침투과정 해석을 위하여 지표에서 포화대까지의 깊이 10m의 모델사면 및 지표부터 포화대까지의 포화도는 직선으로 비례한다는 가정을 적용한다. 먼저 푸리에 급수를 이용, 시간에 따른 온도를 열전달에 관하여 편미분하여 발생하는 열확산계수를 투수계수로 변환함에 따라 지하수의 시간과 수직방향거리에 대한 지반의 포화도를 산정한다. 변수분리법은 산정된 포화도에 지반의 초기조건과 경계조건를 고려하기 위해 적용하며, 변수분리법에 의해 산정된 지하수 분포를 섭동함수법으로 과도 및 정상상태로 분류한다. 본 연구의 수행으로 인해 얻어진 결과를 요약하면 다음과 같다. 첫째, Fourier Series와 변수분리법, 섭동함수를 이용하여 강우에 의한 지반의 포화도 변화를 수식적으로 나타낼 수 있으며 둘째, 지반에서의 강우침투과정을 식으로 표현함으로서, 깊이별 시간에 따른 포화도의 영역이 상부로부터 하부로 전이되는 과정을 알 수 있다. 셋째, 푸리에 급수를 이용한 지반의 침투계산으로 강우로 인한 지반의 포화영역 및 불포화영역을 명확히 구분할 수 있으며, 각 깊이별 포화도를 계산하여 각 구간에서 불포화구간의 전단강도에 대한 보다 정확한 계산이 가능하리라 판단된다.

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A study on simplified fatigue design methodology for composite structures (복합재구조물에 대한 단순화된 수명평가방법 고찰)

  • 김성준
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2002.10a
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    • pp.75-78
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    • 2002
  • A simplified methodology is presented to predict fatigue life and residual strength of composite structures. To avoid excessive amount of tests that are required for model characterization, strength degradation parameter is assumed as function of fatigue life. S-N curve is used to extract fatigue life that is required to characterize the stress levels comprising a randomly-ordered load spectrum. And different stress ratios are handled with Goodman correction approach(fatigue envelope). It is assumed that the residual strength is a function of the number of loading cycles and applied fatigue stress amplitude. And the residual strength distribution after an arbitrary load cycles is represented by two parameter Weibull functions.

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Theoretical Study of Design Parameters for the Thermal Stress in Engine Exhaust Manifold (엔진 배기매니폴드의 열응력 발생에 관한 설계 인자들의 이론적 연구)

  • Choi, Bok-Lok
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.6 no.1
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    • pp.50-56
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    • 2007
  • Exhaust manifold is generally subjected to thermal cycle loadings ; at hot condition, large compressive plastic deformations are generated, and at cold condition, tensile stresses are remained in highly deformed critical zones. These phenomena originate from the fact that thermal expansions of the runners are restricted by inlet flange clamped to the cylinder head, because the former is less stiff than the latter and, the temperature of the inlet flange is lower than that of the runners. Since the failure of an exhaust manifold is mainly caused by geometric constraints between the cylinder head and the manifold, the thermal stress can be controlled by geometric factors. The generic geometric factors include the inter distance (2R), the distance from the head to the outlet (L), the tube diameter(d) and the tube thickness (t). This criteria based on elastic analysis up to onset of yield apparently indicate that the pre-stress also reduces the factor; however, high temperature relaxation may reduce this effect at later operation stage.

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Stress and Displacement fields of a Propagating Mode III Crack in Orthotropic Functionally Gradient Materials with Property Gradation Along X Direction (X방향을 따라 물성구배를 갖는 직교이방성 함수구배 재료에서 전파하는 모드 III 균열의 응력장과 변위장)

  • Cho Sang-Bong;Lee Kwang-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.3 s.246
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    • pp.249-259
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    • 2006
  • Stress and displacement fields of a propagating Mode III crack in an orthotropic functionally gradient material (OFGM), which has (1) linear variation of shear modulus with a constant density, and (2) an exponential variation of shear modulus and density, are derived. The equations of motion in OFGM are developed and solution to the displacement and stress fields fer a propagating crack at constant speed though an asymptotic analysis. The stress terms associated with $\gamma^{-1/2}\;and\;\gamma^{0}$ are not affected by the FGM constant $\zeta$ which is nonhomogeneous parameter, only on the higher order terms, the influences of nonhomogeneity on the stress are explicitly brought out. When the FGM constant $\zeta\;is\;zero\;or\;\gamma{\rightarrow}0$, the fields for OFGM are almost same as the those for homogeneous orthotropic material. Using the stress components, the effects of nonhomogeneity on stress components are discussed.

A Study on the Prediction of Fatigue Life by use of Probability Density Function (확률밀도함수를 이용한 피로균열 발생수명 예측에 관한 연구)

  • 김종호
    • Journal of Advanced Marine Engineering and Technology
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    • v.23 no.4
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    • pp.453-461
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    • 1999
  • The estimation of fatigue life at the design stage is very important in order to arrive at feasible and cost effective solutions considering the total lifetime of the structure and machinery compo-nents. In this study the practical procedure of prediction of fatigue life by use of cumulative damage factors based on Miner-Palmgren hypothesis and probability density function is shown with a $135,000m^3$ LNG tank being used as an example. In particular the parameters of Weibull distribution taht determine the stress spectrum are dis-cussed. At the end some of uncertainties associated with fatigue life prediction are discussed. The main results obtained from this study are as follows: 1. The practical procedure of prediction of fatigue life by use of cumulative damage factors expressed in combination of probability density function and S-N data is proposed. 2. The calculated fatigue life is influenced by the shape parameter and stress block. The conser-vative fatigue design can be achieved when using higher value of shape parameter and the stress blocks divded into more stress blocks.

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