• 제목/요약/키워드: Circumferential stress

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축대칭 문제에서의 동적 응력확대계수의 계산 (Numerical Computation of Dynamic Stress Intensity Factors in Axisymmetric Problems)

  • 이성희;심우진
    • 한국전산구조공학회논문집
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    • 제16권2호
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    • pp.207-216
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    • 2003
  • 본 논문에서는 균열을 지닌 축대칭 문제를 해석하기 위하여 시간적분형 운동방정식을 바탕으로 한 유한요소 해법을 제시한다. 유한요소메쉬는 8절점 등매개변수 사변형 요소와 균열선단에서의 1/4절점 삼각형 특이요소로 구성되며, 동적 응력확대계수는 균열면상의 1/4절점의 y방향 변위로부터 구한다. 제시된 해법의 정확성과 타당성을 검증하기 위하여 내부에 원환균열을 지닌 무한 탄성체가 균열면상에서 충격하중을 받을 때의 동적 응력확대계수를 계산하고 타 수치결과와 비교 검토하였다. 응용 예제로서 원환균열과 원주균열을 지닌 중실축과 중공축의 동적 응력확대계수를 균열의 길이와 축의 길이에 따른 영향을 자세히 조사하였다. 균열길이가 커지면 동적 응력확대계수가 커지고, 축의 길이가 길어지면 동적 응력확대계수 곡선의 폭도 함께 증가됨을 확인하였다. 그리고 균열의 위치가 안쪽에 포함될 경우보다는 바깥쪽에 포함될 때 더 큰 동적 응력확대계수가 발생됨을 밝힌다.

원주방향 부분 관통 균열이 존재하는 직관에 인장하중과 열하중의 복합하중이 가해지는 경우의 균열 선단 응력장 (Crack-tip Stress Field of Fully Circumferential Surface Cracked Pipe Under Combined Tension and Thermal Loads)

  • 제진호;김동준;김윤재
    • 대한기계학회논문집A
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    • 제38권11호
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    • pp.1207-1214
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    • 2014
  • 균열이 존재하는 구조물의 균열 선단에서 과도한 소성 상태에 도달하게 되면 파괴역학 매개변수에 의하여 예측되는 균열 선단의 응력장이 실제와는 매우 다르게 나타난다. 구조물의 크기와 형상 그리고 하중의 형태에 따라 균열 선단의 응력장이 유일하지 않다. 이는 균열 선단의 구속 효과가 단일 매개변수 파괴역학으로 표현 될 수 없기 때문이다. 따라서 전통적으로 사용되었던 K, J를 이용한 단일 매개변수 파괴역학을 보완하기 위하여 다양한 시도가 있었고, 대표적으로 Q-응력이 있다. 본 논문에서는 Q-응력을 이용하여 원주방향으로 완전히 발달한 표면 균열이 있을 경우의 균열 선단의 구속 효과를 확인하였다. 고려된 하중은 일차하중으로 축 방향 인장하중과 반경방향 열구배에 의한 이차하중의 복합하중이다. 이차하중이 일차하중보다 구속효과가 더 심하며 기계하중보다 열하중이 뒤에 가해지는 열충격조건에서 구속효과가 더 심하게 나타남을 확인하였다.

The coalescence and strength of rock-like materials containing two aligned X-type flaws under uniaxial compression

  • Zhang, Bo;Li, Shucai;Yang, Xueying;Xia, Kaiwen;Liu, Jiyang;Guo, Shuai;Wang, Shugang
    • Geomechanics and Engineering
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    • 제17권1호
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    • pp.47-56
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    • 2019
  • Crossing (X-type) flaws are commonly encountered in rock mass. However, the crack coalescence and failure mechanisms of rock mass with X-type flaws remain unclear. In this study, we investigate the compressive failure process of rock-like specimens containing two X-type flaws aligned in the loading direction. For comparison purposes, compressive failure behavior of specimens containing two aligned single flaws is also studied. By examining the crack coalescence behavior, two characteristics for the aligned X-type flaws under uniaxial compression are revealed. The flaws tend to coalesce by cracks emanating from flaw tips along a potential path that is parallel to the maximum compressive stress direction. The flaws are more likely to coalesce along the coalescence path linked by flaw tips with greater maximum circumferential stress if there are several potential coalescence paths almost parallel to the maximum compressive stress direction. In addition, we find that some of the specimens containing two aligned X-type flaws exhibit higher strengths than that of the specimens containing two single parallel flaws. The two underlying reasons that may influence the strengths of specimens containing two aligned X-type flaws are the values of flaw tips maximum circumferential stresses and maximum shear stresses, as well as the shear crack propagation tendencies of some secondary flaws. The research reported here provides increased understanding of the fundamental nature of rock/rock-like material failure in uniaxial compression.

Evaluation of interfacial shear stress in active steel tube-confined concrete columns

  • Nematzadeh, Mahdi;Ghadami, Jaber
    • Computers and Concrete
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    • 제20권4호
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    • pp.469-481
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    • 2017
  • This paper aims to analytically investigate the effect of shear stress at the concrete-steel interface on the mechanical behavior of the circular steel tube-confined concrete (STCC) stub columns with active and passive confinement subjected to axial compression. Nonlinear 3D finite element models divided into the four groups, i.e. circumferential-grooved, talc-coated, lubricated, and normal groups, with active and passive confinement were developed. An innovative method was used to simulate the actively-confined specimens, and then, the results of the finite element models were compared with those of the experiments previously conducted by the authors. It was revealed that both the predicted peak compressive strength and stress-strain curves have good agreement with the corresponding values measured for the confined columns. Then, the mechanical properties of the active and passive specimens such as the concrete-steel interaction, longitudinal and hoop stresses of the steel tube, confining pressure applied to the concrete core, and compressive stress-strain curves were analyzed. Furthermore, a parametric study was performed to explore the effects of the concrete compressive strength, steel tube diameter-to-wall thickness ratio, and prestressing level on the compressive behavior of the STCC columns. The results indicate that reducing or removing the interfacial shear stress in the active and passive specimens leads to an increase in the hoop stress and confining pressure, while the longitudinal stress along the steel tube height experiences a decrease. Moreover, prestressing via the presented method is capable of improving the compressive behavior of STCC columns.

광범위 크리프 조건에 대한 관통균열 배관의 크리프 파괴역학 해석 (Creep Fracture Mechanics Analysis for Through-Wall Cracked Pipes under Widespread Creep Condition)

  • 허남수;김윤재;김영진
    • 대한기계학회논문집A
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    • 제27권6호
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    • pp.890-897
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    • 2003
  • This paper compares engineering estimation schemes of C* and creep COD for circumferential and axial through-wall cracked pipes at elevated temperatures with detailed 3-D elastic-creep finite element results. Engineering estimation schemes included the GE/EPRI method, the reference stress method where reference stress is defined based on the plastic limit load and the enhanced reference stress method where the reference stress is defined based on the optimized reference load. Systematic investigations are made not only on the effect of creep-deformation behaviour on C* and creep COD, but also on effects of the crack location, the pipe geometry, the crack length and the loading mode. Comparison of the FE results with engineering estimations provides that for idealized power law creep, estimated C* and COD rate results from the GE/EPRI method agree best with FE results. For general creep-deformation laws where either primary or tertiary creep is important and thus the GE/EPRI method is hard to apply, on the other hand, the enhanced reference stress method provides more accurate and robust estimations for C* and COD rate than the reference stress method.

Round Robin Analyses on Stress Intensity Factors of Inner Surface Cracks in Welded Stainless Steel Pipes

  • Han, Chang-Gi;Chang, Yoon-Suk;Kim, Jong-Sung;Kim, Maan-Won
    • Nuclear Engineering and Technology
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    • 제48권6호
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    • pp.1412-1422
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    • 2016
  • Austenitic stainless steels (ASSs) are widely used for nuclear pipes as they exhibit a good combination of mechanical properties and corrosion resistance. However, high tensile residual stresses may occur in ASS welds because postweld heat treatment is not generally conducted in order to avoid sensitization, which causes a stress corrosion crack. In this study, round robin analyses on stress intensity factors (SIFs) were carried out to examine the appropriateness of structural integrity assessment methods for ASS pipe welds with two types of circumferential cracks. Typical stress profiles were generated from finite element analyses by considering residual stresses and normal operating conditions. Then, SIFs of cracked ASS pipes were determined by analytical equations represented in fitness-for-service assessment codes as well as reference finite element analyses. The discrepancies of estimated SIFs among round robin participants were confirmed due to different assessment procedures and relevant considerations, as well as the mistakes of participants. The effects of uncertainty factors on SIFs were deducted from sensitivity analyses and, based on the similarity and conservatism compared with detailed finite element analysis results, the R6 code, taking into account the applied internal pressure and combination of stress components, was recommended as the optimum procedure for SIF estimation.

Single-Layer 포텐셜과 가중함수를 이용한 응력강도계수의 계산 (Calculation of Stress Intensity Factors Using Single-Layer Potential and Weight Function)

  • 이형연;홍창선
    • 대한기계학회논문집
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    • 제19권4호
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    • pp.981-989
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    • 1995
  • A new weight function approach to determine SIF(stress intensity factor) using single-layer potential has been presented. The crack surface displacement field was represented by one boundary integral term whose kernel was modified from Kelvin's fundamental solution. The proposed method enables the calculation of SIF using only one SIF solution without any modification for the crack geometries symmetric in two-dimensional plane such as a center crack in a plate with or without an internal hole, double edge cracks, circumferential crack or radial cracks in a pipe. The application procedure to those crack problems is very simple and straightforward with only one SIF solution. The necessary information in the analysis is two reference SIFs. The analysis results using present closed-form solution were in good agreement with those of the literature.

축대칭 문제에서의 동적 응력집중 해석 (Numerical Analysis of Dynamic Stress Concentrations in Axisymmetric Problems)

  • 심우진;이성희
    • 대한기계학회논문집A
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    • 제26권11호
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    • pp.2364-2373
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    • 2002
  • In this paper, the finite element equations for the time-domain numerical analysis of transient dynamic axisymmetric problems are newly presented. which are based on the equations of motion in convolution integral as in the previous paper. A hollow cylinder subjected to a sudden internal pressure is solved first as a benchmark problem and then the dynamic stress concentrations are analyzed in detail far hollow cylinders having inner and outer circumferential grooves subjected to sudden internal or axial loadings, all the computed results are compared with the existing or the computed ones obtained by using the commercial finite element packages Nastran and Ansys to show the validity and capability of the presented method.

단공 (端孔) V-노치가 있는 PMMA 판의 파괴기준에 관한 연구 (A Study on Fracture Criterion of PMMA Plates Having a V-Notch with an End Hole)

  • 추원철;조상봉;윤존도
    • 한국정밀공학회지
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    • 제33권10호
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    • pp.865-873
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    • 2016
  • The aim of this study was to examine the validity of fracture criterion for PMMA plates that have a V-notch with an end hole. The predicted stress intensity factors and crack initiation angles by the fracture criterion based on the maximum circumferential stress and the novozhilov's criteria were compared with the experimental results. By increasing the radius of end hole, the differences of predicted stress intensity factors and experimental results increased, possibly due to the plastic zone size. The results indicated that when the radius of end hole is < 1 mm, the fracture criterion would be useful.

가중함수법을 이용한 두꺼운 배관의 응력강도계수 계산 (Calculation of Stress Intensity Factors for a Thick Pipe Using Weight Function Method)

  • 이형연;이재한;유봉
    • 대한기계학회논문집A
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    • 제20권7호
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    • pp.2167-2173
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    • 1996
  • An approximate weight function technique using the indirect boundary integral equation has been presented for the analysis of stress intensity foactors(SIFs) of a thick pipe. One-term boundary integral was introduced to represent the crack surface displacement field for the displacement based weight function technique. An explicit closed-form SIF solution applicable to symmetric cracked pipes without any modification of the solution including both circumferential and radial cracks has been derived. The necessary information in the analysis is two or three reference SIFs. In most cases the SIF solution were in good agreement with those available in the literature.