• Title/Summary/Keyword: 광탄성 해석

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복합체 응력해석의 광탄성 실험법

  • 황재석
    • Journal of the KSME
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    • v.31 no.3
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    • pp.276-292
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    • 1991
  • 복합체 구조물을 광탄성 실험법으로 응력해석 하고자 할 때는 반드시 아래의 사항이 연구되어야 한다. (1) 복합체 구조물의 이방성 성질과 상사되는 광탄성 재료가 개발되어야 한다. (2) 광탄성 재료의 기본 물성치($E_L,E_r,G_{LT},V_{LT}$)와 응력 프린지치($f_L,f_r,f_{LT}$) 등이 측정되어야 한다. (3) 복합체 구조물의 응력 해석을 할 수 있는 광탄성 실험의 실험 방법이 개 발되어야 한다. 이론적으로 규명하기 힘들고 역학적으로 논란되고 있거나 인명에 관계되는 기 계나 구조물 등을 이론적으로 해결하였으나 실험적으로 확인하려고 할 때 광탄성 실험법은 확인 실험법으로써 매우 유용한 방법이므로 아래와 같이 요구된다. 광탄성 실험법이 앞에서 나열된 것처럼 파괴 역학의 여러 분야에도 유용하게 이용될 뿐만 아니라 의학 분야에도 매우 유용하게 이용되고 있다.

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Fringe Analysis around an Inclined Crack Tip of Finite-Width Plate under Tensile Load by Photoelastic Phase-Shifting Method (광탄성 위상이동법을 이용한 인장판 경사균열 선단주위의 프린지 해석)

  • Li, Weizheng;Baek, Tae-Hyun;Hong, Dong-Pyo;Lee, Byung-Hee;Seo, Jin
    • Journal of the Korean Society for Nondestructive Testing
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    • v.32 no.1
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    • pp.27-33
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    • 2012
  • Photoelasticity is a technique of experimental methods and has been widely used in various domains of engineering to determine the stress distribution of structures. Without complicated mathematical formulation, this technique can conveniently provide a fairly accurate whole-field stress analysis for a mechanical structure. Here, stress distribution around an inclined crack tip of finite-width plate is studied by 8-step phase-shifting method. This method is a kind of photoelastic phase-shifting techniques and can be used for the determination of the phase values of isochromatics and isoclinics. According to stress-optic law, the stress distribution could be obtained from fringe patterns. The results obtained by polariscope arrangement combined with 8-step method and ABAQUS FEM simulations are compared with each other. Good agreement between them shows that 8-step phase-shifting method is reliable and can be used for determination of stress by experiment.

Stress Distribution of a Crane Hook by Photoelasticty Using 4-step Phase Shifting Method and finite Element Method (광탄성 4단계 위상 이동법과 유한요소법에 의한 크레인 훅의 응력분포 비교)

  • Baek, Tae-Hyun;Kim, Whan;Lee, Chun-Tae
    • Journal of the Korean Society for Nondestructive Testing
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    • v.24 no.1
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    • pp.38-44
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    • 2004
  • An experimental study for a crane hook was performed to investigate the stress distribution along a certain line where the maximum and minimum stresses to be developed. On this line, the isoclinic fringe and/or principal stress direction is constant. The crane hook was modeled into a 2-dimensional plate made of urethane rubber called 'Photoflex' The Photoflex is very sensitive to a load and has low photoelastic fringe constant. The Tardy compensation method with the fringe sharpening process and the 4-step phase shifting method, was used for the photoelastic technique. Experimental results by photoelasticity were compared with the calculated stresses from the simple curved beam theory and tile finite element analysis. Ail the results were close to each other.

Analysis of Photoelastic Stress Field Around Inclined Crack Tip by Using Hybrid Technique (하이브리드 기법에 의한 경사균열 팁 주위의 광탄성 응력장 해석)

  • Chen, Lei;Seo, Jin;Lee, Byung-Hee;Kim, Myung-Soo;Baek, Tae-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.9
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    • pp.1287-1292
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    • 2010
  • In this paper, a hybrid technique is presented. First, the isochromatic fringe data of a given set of points are calculated by the finite element method and are used as input data in complex variable formulations. Then the numerical model of the specimen with a central inclined crack is transformed from the physical plane to the complex plane by conformal mapping. The stress field is analyzed and the mixed-mode stress intensity factors are calculated for this complex plane. The stress intensity factors are calculated by the finite element method as well as by a theoretical method and compared with each other. In order to conveniently compare these values with each other, both actual and regenerated photoelastic fringe patterns are multiplied by a factor of two and sharpened by digital image processing.

Analysis of Stress Distribution around a Central Crack Tip in a Tensile Plate Using Phase-Shifting Photoelasticity and a Power Series Stress Function (위상이동 광탄성법과 멱급수형 응력함수를 이용한 인장시편 중앙 균열선단 주위 응력장 해석)

  • Baek, Tae-Hyun
    • Journal of the Korean Society for Nondestructive Testing
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    • v.29 no.1
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    • pp.1-9
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    • 2009
  • This paper presents stress distribution around a central crack tip in a tensile plate using phase-shifting photoelasticity and a power series stress function. Isochromatic data along the straight lines far from the crack tip were obtained by phase shifting photoelasticity and were used as input data of the hybrid experimental analysis. By using the complex-type power series stress equations, the photoelastic stress distribution fields in the vicinity of the crack and the mode I stress intensity factor were obtained. With the help of image processing software, accuracy and reliability was enhanced by twice multiplying and sharpening the measured isochromatics. Actual and reconstructed fringes were compared qualitatively. For quantitative comparison, percentage errors and standard deviations of the percentage errors were calculated for all measured input data by varying the number of terms in the stress function. The experimental results agreed with those predicted by finite element analysis and empirical equation within 2 percent error.

Analysis of Stress Distribution of a Curved Beam Using Photoelasticity (광탄성법을 이용한 곡선보 평판의 응력분포 해석)

  • Baek, Tae-Hyun;Kim, Myung-Soo;Kim, Soo-Il
    • Journal of the Korean Society for Nondestructive Testing
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    • v.19 no.3
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    • pp.200-206
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    • 1999
  • This paper describes the stress analysis of a curved beam by using photoelasticity. In order to measure accurate isochromatic fringe orders at certain locations. fringes are doubled and sharpened by digital image processing. After fringe multiplication and sharpening. fringe orders can be read as a quarter order interval (N=0, 1/4, 2/4, 3/4,...). The results obtained from photoelastic experiment are compared with those calculated by using theory. Two results are agreed well even though there are some scatter bands with maximum 8 percent for the results of photoelastic measurements and theoretical calculation. Difference may be occurred due to the slight misalignment of the direction to which axial load is applied in photoelastic experiment. It is confirmed that accurate measurement of stress distribution can be possible by using the techniques of fringe multiplication and sharpening in photoelasticity.

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Stress Analysis of an Edge-Cracked Plate by using Photoelastic Fringe Phase Shifting Method (광탄성프린지 위상이동법을 이용한 에지균열판의 응력 해석)

  • Baek, Tae-Hyun;Kim, Myung-Soo;Cho, Sung-Ho
    • Journal of the Korean Society for Nondestructive Testing
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    • v.20 no.3
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    • pp.213-220
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    • 2000
  • The method of photoelasticity allows one to obtain principal stress differences and principal stress directions in a photoelastic model. In the classical approach, the photoelastic parameters are measured manually point by point. The previous methods require much time and skill in the identification and measurement of photoelastic data. Fringe phase shifting method has been recently developed and widely used to measure and analyze fringe data in photo-mechanics. This paper presents the test results of photoelastic fringe phase shifting technique for the stress analysis of a circular disk under compression and an edge-cracked plate subjected to tensile load. The technique used here requires four phase stepped photoelastic images obtained from a circular polariscope by rotating the analyzer at $0^{\circ}$, $45^{\circ}$, $90^{\circ}$ and $135^{\circ}$. Experimental results are compared with those or FEM. Good agreement between the results can be observed. However, some error may be included if the technique is used to general direction which is not parallel to isoclinic fringe.

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Development of Image Processing Technique for Photoelastic Fringe Analysis (광탄성 프린지해석을 위한 영상처리기법 개발)

  • 백태현;이재춘
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.10
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    • pp.2577-2584
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    • 1994
  • A method of digital image processing thechnique, which can multiply and sharpen isochromatic fringes in photoelasticity on both occasions, is developed. To test the method, photoelastic fringe patterns of a disk compressed by two diametrically opposite cocentrated loads are simulated and these patterns are processed to yield sharpened lines. The method is then aplied to measurement of residual stresses in glass bar. The procedure is proved to be capable of extraction sharpened lines accurately from photoelastic multiplied fringes, and yields good experimental results consistently and precisely.

Simulation of Separating Isoclinics and Isochromatics from Photoelastic Fringes of a Disk using 8-step Phase Shifting Methodology (광탄성 프린지 위상이동법을 적용한 디스크의 등경 및 등색프린지 분리법에 관한 시뮬레이션)

  • Baek, Tae-Hyun;Kim, Myung-Soo;Cho, Sung-Ho
    • Journal of the Korean Society for Nondestructive Testing
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    • v.21 no.2
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    • pp.189-196
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    • 2001
  • Photoelasticity is one of the most widely used methods for whole field stress analysis. In photoelasticity, the difference and the directions of the principal stresses we given isochromatic and isoclinic fringe patterns. Conventionally, principal stress directions are measured manually by relating the polarizer and analyzer of a plane polariscope at the same time. This is known to be the Tardy compensation method. This measurement can be very tedious and time consuming in whole field analysis. It is not possible to separate isoclincs from photoelastic fringes by conventional photoelastic technique. In this study, photoelastic theory is represented by Jones matrices and 4-steps and 8-steps phase shifting methods are described A feasibility study using computer simulation is done to separate isoclincs and isochomatics from photoelastic fringes of a circular disk under diametrical compression. Fringe patterns of the disk are generated using stress optic law. The magnitudes of isoclincs and isochromatics obtained from 8-step phase shifting method are compared with those of theories. From computer simulation, it is verified to separate isoclincs and isochomatics from photoelastic fringes.

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