• Title/Summary/Keyword: stress gradient

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A unified consistent couple stress beam theory for functionally graded microscale beams

  • Chih-Ping Wu;Zhen Huang
    • Steel and Composite Structures
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    • 제51권2호
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    • pp.103-116
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    • 2024
  • Based on the consistent couple stress theory (CCST), we develop a unified formulation for analyzing the static bending and free vibration behaviors of functionally graded (FG) microscale beams (MBs). The strong forms of the CCST-based Euler-Bernoulli, Timoshenko, and Reddy beam theories, as well as the CCST-based sinusoidal, exponential, and hyperbolic shear deformation beam theories, can be obtained by assigning some specific shape functions of the shear deformations varying through the thickness direction of the FGMBs in the unified formulation. The above theories are thus included as special cases of the unified CCST. A comparative study between the results obtained using a variety of CCST-based beam theories and those obtained using their modified couple stress theory-based counterparts is carried out. The impacts of some essential factors on the deformation, stress, and natural frequency parameters of the FGMBs are examined, including the material length-scale parameter, the aspect ratio, and the material-property gradient index.

선형구배 응력장에서 표층의 잔류응력 측정에 관한 연구 (A Study on the Measurements of Sub-surface Residual Stress in the Field of Linear Stress Gradient)

  • 최병길;전상윤;이택순
    • 대한기계학회논문집
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    • 제16권9호
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    • pp.1632-1642
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    • 1992
  • 본 연구에서는 방전가공(electric disharge machining, EDM) 또는 공기연마 분사기(air-abrasive jet machine, AJM) 가공에 의하여 인장 시험편 또는 외팔보 시험 편에 구멍깊이를 증가시켜 가면서 구멍을 뚫었다. 여기에서 방저가공(EDM)을 채택한 것은 구멍깊이를 직접 계측하는 것이 가능하여 구멍깊이 측정 오차에 기인하는 잔류응 력 측정오차를 최소화 할 수 있기 때문이며, 공기연마 분사기를 채택한 것은 구멍을 뚫는 동안 가공응력을 유발시키지 않기 때문이었다. 위 인장 시험편 또는 외팔보 시 험편을 이용하여 균일한 응력장과 두께 방향으로 변하는 선형적 구배응력장을 구현하 고, 이 때 각각 구멍깊이가 다른 원통형 막힘 구멍으로 부터 이완되는 스트레인을 계 측하였다. Schajer가 제안한 멱급수법과 최소장승법을 적용하여 균일응력장 또는 구 배 응력장에서 측정되는 스트레인을 잔류응력으로 환산하였으며, 환산된 잔류응력과 실제로 작용하는 응력을 비교하므로서 이론적으로 제시된 멱급수법과 최소자승법의 타 당성을 실험적으로 검토하는데 본 연구의 목적이 있다. 이 때 얕은 구멍깊이 (0.3∼ 1.2mm)에서 측정되는 스트레인을 이용하여 Schajer의 제안에 따라 잔류응력을 산정하 므로서, 잔류응력 계측 대상 구조물을 가급적 덜파괴시키며 잔류응력을 측정할 수 있 는지 여부를 실험적으로 검토하였다.

ESPI 장비를 활용한 사형 주조품의 잔류응력 측정 및 주조 열응력 해석 (Residual Stress Measurement of Sand Casting by ESPI Device and Thermal Stress Analysis)

  • 곽시영;남정호
    • 한국주조공학회지
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    • 제40권1호
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    • pp.1-6
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    • 2020
  • Many studies involving a thermal stress analysis using computational methods have been conducted, though there have been relatively few experimental attempts to investigate thermal stress phenomena. Casting products undergo thermal stress variations during the casting process as the temperature drops from the melting temperature to room temperature, with gradient cooling also occurring from the surface to the core. It is difficult to examine thermal stress states continuously during the casting process. Therefore, only the final states of thermal stress and deformations can be detemined. In this study, specimens sensitive to thermal stress, were made by a casting process. After which the residual stress levels in the specimens were measured by a hole drilling method with Electron Speckle-Interferometry technique. Subsequently, we examined the thermal stresses in terms of deformation during the casting process by means of a numerical analysis. Finally, we compared the experimental and numerical analysis results. It was found that the numerical thermal stress analysis is an effective means of understanding the stress generation mechanism in casting products during the casting process.

Structural stree를 이용한 피로실험 data 분석 (Data analysis for fatigue test of welded joint using structural stress)

  • 박형진;김유일;강중규;허주호
    • 대한용접접합학회:학술대회논문집
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    • 대한용접접합학회 2005년도 추계학술발표대회 개요집
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    • pp.82-84
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    • 2005
  • Fatigue assessment of welded structure is very sensitive to the method of local stress determination. Normally, hot spot stress which is surface stress extracted from 0.5t, 1.5t away from weld toe is widely used to obtain local stress. However, this method has a lot of limitation in the evaluation of fatigue strength. Therefore, mesh has to comply with strict requirements since stress extracted from this method strongly rely on mesh size and element types. And that method does not cover the stress gradient through thickness direction since only surface stress is considered. Recently, new method to obtain local stress is proposed, which is structural stress. This method has an advantage, which is mesh intransitiveness and covering the effect of both bending and axial stress in local area. In this paper, fatigue test data for various welded joints was analyzed to review the reliability of structural stress. As a result, it is verified that S-N curve using structural stress guaranteed single master curve for various joint type and testing condition.

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광섬유 브래그 격자 센서의 게이지 길이에 따른 신호 특성 (Signal Characteristics of Fiber Bragg Grating Sensor with Gage Length)

  • 강동훈;김대현;방형준;홍창선;김천곤
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2002년도 추계학술발표대회 논문집
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    • pp.155-160
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    • 2002
  • A new fabrication method of FBG sensor with gage length shorter than 10 mm is introduced using the reflection prism with special coating on the surface. It is verified that the bandwidth of FBG sensor increases exponentially as the gage length of it decreases. The transverse stress and strain gradient induced by local stress concentration which occurs during curing has an influence on the FBG sensor with gage length of 2 mm less than that of 10 mm.

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PC Box교량의 화재에 대한 열응력해석 (The Fire induced Thermal Stress Analysis of PC Box Bridge)

  • 최창근;이계희;최인혁;김일곤
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 가을 학술발표회 논문집
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    • pp.125-132
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    • 1998
  • In this study the fire, due to overturning of oil tanker on the bridge induced heat transfer analysis and thermal stress analysis are carried out. The results of analysis for fire history of 1 hour present very large thermal gradient near the surface. However, the temperature increase of tendon & rebar that is the main resistant member of bridge is not sufficient to change material properties. The Von-Mises yield criteria is used to calculate the depth of delamination, The depth of delamination is about 4cm at center of fire and this value is close to measured value.

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평평한 금형(金型)의 열응력(熱應力)에 관한 연구(硏究) (A Study on the Thermal Stresses Analysis of the Flat Mould)

  • 민수홍;구본권;김옥삼
    • 한국주조공학회지
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    • 제11권3호
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    • pp.245-253
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    • 1991
  • It is known that the analysis of thermal stresses is substantially important in optimal design of casting mould. In this paper unsteady state thermal stresses generated in ingot and mould during the solidification process are analyzed by the two dimensional thermal elasto-plastic analysis. Distribution of temperature and stress of the mould is calculated using the finite element method and compared with experimental result. The significant results obtained in this study are as follows. At the early stage of the casting process, abrupt temperature change was shown in the vicinity of the inner surface of the mould. The largest temperature gradient is occurred at the corner of the mould. In the thermal stress analysis, compressible stress occurred in the inside wall of the mould where as tensile stress on outside wall. Smaller thermal stress is observed at the rounded corner. It is also observed that the shown is influenced by the thickness of the wall. A fairly good coincidence is found between analytical and experimental results, showing that the proposed analytical methodology is reliable.

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유한요소해석과 나노인덴테이션을 활용한 박막의 잔류응력 평가 (Evaluation of the Residual Stress of Thin Film Based on the Nanoindentation and Finite Element Analysis.)

  • 황병원;김영석;박준원
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2003년도 추계학술대회논문집
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    • pp.355-358
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    • 2003
  • To estimate the residual stresses in the thin film and surface coatings, combined method based on nanoindentation and finite element (FE) analysis was developed. A simple equation for estimating the residual stress was composed of the hardness and the parameters which can be driven from the nanoindentation loading and unloading behaviors. FE analysis on the nanoindentation procedure under the various residual stress levels was performed to determine the parameters that included in the equation. The equation showed a good coincidence between the estimated residual stresses and those for the FE analysis. Thus the proposed method was considered as a useful method for estimating the residual stresses in the thin film without stress free specimen.

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가스 터빈 Hot gas casing에 대한 유동 및 열응력 해석 (A study on the flow and thermal analysis of the hot gas casing of gas turbine)

  • 최영진;이영신;김재훈;박원식;김현수
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.557-561
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    • 2004
  • The hot gas casing of gas turbine has operated high temperature and thermal gradient. The structure safety of hot gas casing will be highly depend on the thermal stress. In this paper, flow and thermal stress analysis of hot gas casing is carried out using ANSYS program. The obtained temperature data by flow analysis of hot gas casing apply the load condition of the thermal analysis. The thermal stress analysis is carry out the elastic-plasticity analysis. The pressure, temperature and velocity of the flow and thermal stress of the hot gas casing are presented.

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On the post-buckling behaviour of plates under stress gradient

  • Bedair, Osama K.
    • Structural Engineering and Mechanics
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    • 제4권4호
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    • pp.397-413
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    • 1996
  • In this paper the elastic post-buckling behaviour of plates under non-uniform compressive edge stress is investigated. The compatibility differential equations is first solved analytically and then an approximate solution of the equilibrium equation is obtained using the Galerkin method. Explicit expressions are derived for the load-deflection, ultimate strength and membrane stress distributions. Analytical effective width formulations, based on the characteristics of the stress field of the buckled plate, are proposed for this general loading condition. The predicted load-deflection expression is compared with independent test results. Results are also presented detailing the load-deflection behaviour and stress distribution for various aspect ratios.