[보고서]크리프파괴역학기반 복합응력하의 고온기기 균열평가 기술 개발

김윤재

보고서 정보

주관연구기관

고려대학교
Korea University

연구책임자

김윤재

참여연구자

한재준 , 오창영 , 김낙현 , 김상현 , 류호완 , 김지석

보고서유형

1단계보고서

발행국가

대한민국

언어

한국어

발행년월

2013-05

과제시작연도

2012

주관부처

교육과학기술부
Ministry of Education and Science Technology(MEST)

등록번호

TRKO202100004630

과제고유번호

1345187827

사업명

원자력연구기반확충사업

DB 구축일자

2021-07-10

키워드

고온원전기기 결함평가.복합응력.천이크리프.크리프균열진전.불안정파손.J-적분.C-적분.Crack assessment of high temperature component.Combined primary and secondary stresses.Transient creep.Creep crack growth.Instability.J-integral.C-integral.

표 크리프파괴역학 기반 고온기기 결함 평가법 (Schematic)
표 천이크리프 및 정상크리프의 균열 거동 (Schematic)
표 관통균열 실배관 크리프 실험 결과 (Gampe U, Seliger P. 2001. Creep crack growth testing of P91 and P22 pipe bends. Int. J. Pres. Ves. Pip., 78, 859-864.)
표 대형 및 소형 시편 크리프균열진전 실험 결과 비교 (Tabuchi M, Kubo K, Yagi K. 1991. Effect of specimen size on creep crack growth rate using ultra-large CT specimens for 1Cr-Mo-V steel. Engng. Fract. Mech., 40(2), 311-321.)
표 R6 코드가 제시하는 V/Vo
표 (a) 배관 형상 및 (b) 관통 및 표면 균열 형상
표 다양한 온도 구배 형상 (a) 원주방향 온도구배, (b) 축방향 온도구배 및 (c) 단면 내 온도구배
표 재료 인장 곡선 및 각 재료의 파손평가도(FAD) (a) stress-strain curve (b) 재료의 파손평가도(FAD)
표 원주방향 표면균열의 유한요소 망
표 1차 하중만 작용하는 경우 파손평가도 (a)n=5 및 (b) n=20
표 축방향 온도구배를 가진 배관이 인장하중을 받는 경우 Lr에 따른 V/Vo 분포. (a) b=0.5, (b) b=1.0
표 계속 (c) b=2.0 및 (d) b=5.0 (그림 계속)
표 원주방향 온도구배를 가진 배관이 인장하중을 받는 경우 Lr에 따른 V/Vo 분포. (a) b=0.5, 및 (b) b=5.0
표 단면 내 온도구배를 가진 배관이 인장하중을 받는 경우 Lr에 따른 V/Vo 분포. (a) b=0.5, 및 (b) b=5.0
표 n=5에 대한 다양한 균열 사이즈의 V/Vo 결과
표 types of thermal loading
표 Sectional temperature gradient의 V/Vo 결과 (a) n=5 (b) n=10
표 제시된 온도 분포에 대한 β값에 따른 다양한 Vo 값 (a) axial temperature n=5 (b) axial temperature n=20 (그림 계속)
표 계속 (c) axial temperature n=5 (d) axial temperature n=20
표 Vo,max 과 β의 관계의 개략적인 설명 그림
표 Sectional temperature gradient의 β와 n에 따른 탄성 추종 영향 (a) Sectional temperature n=5 (b) Sectional temperature n=20 (그림 계속)
표 계속 (c) Sectional temperature β=1.0 (d) Sectional temperature β=2.0
표 Axial & Radial temperature gradient 탄성 추종의 예 (a) Axial temperature (b) Radial temperature
표 평가되는 V/Vo 제안된 보정식과 R6 Detailed 식 비교:(a) n=5, and (b) n=20
표 제안된 평가식과 유한요소 해석 V/Vo 값(Axial temperature) (a) θ/π=1.0 (b) θ/π=0.125
표 제안된 평가식과 유한요소 해석 V/Vo 값(Radial temperature)(a) θ/π=1.0 (b) θ/π=0.125
표 유한요소 해석을 통한 V/Vo 해석 결과와 보정된 제안식의 비교 sectional temperature gradient (a) n=5 (b) n=10 (그림 계속)
표 (c) n=20
표 유한요소 해석 결과 V/Vo 값과 제안식의 비교: (a) axial temperature β=0.1, (b) axial temperature β=0.25(그림 계속)
표 계속 (c) radial temperature β=0.1, (d) radial temperature β=0.25
표 계속: (e) sectional temperature β=0.1, (e) sectional temperature β=0.25
표 V/Vo comparison of each estimation method (a) n=5 (b) n=10
표 Comparison of load order effect: (a) Axial temperature, β=0.5, thermal loading first (b) Axial temperature, β=0.5, mechanical and thermal loading simultaneously (그림 계속)
표 계속 (c) Axial temperature, β=0.5, mechanical loading first (d) Axial temperature, β=5.0, thermal loading first (그림 계속)
표 계속 (e) Axial temperature, β=5.0, mechanical and thermal loading simultaneously (f) Axial temperature, β=5.0, mechanical loading first
표 Radial temperature gradient: (a) Radial temperature, β=0.5, thermal loading first (b) Radial temperature, β=0.5, mechanical loading first (그림 계속)
표 계속 (c) Radial temperature, β=5.0, thermal loading first (d) Radial temperature, β=5.0, mechanical loading first
표 θ/π=1.0 crack cases: (a) Axial temperature, β=0.5, thermal loading first (b) Axial temperature, β=0.5, mechanical loading first (그림 계속)
표 계속 (c) Axial temperature, β=5.0, thermal loading first (d) Axial temperature, β=5.0, mechanical loading first
표 Hardening n=10 cases: (a) Axial temperature, β=0.5, thermal loading first (b) Axial temperature, β=0.5, mechanical loading first (그림 계속)
표 계속 (c) Axial temperature, β=5.0, thermal loading first (d) Axial temperature, β=5.0, mechanical loading first
표 Biaxial loading cases (ψ=1.0): (a) Radial temperature, β=0.5, thermal loading first (b) Radial temperature, β=0.5, mechanical loading first (그림 계속)
표 계속 (c) Radial temperature, β=5.0, thermal loading first (d) Radial temperature, β=5.0, mechanical loading first
표 Biaxial loading cases (ψ=0.5): (a) Radial temperature, β=0.5, thermal loading first (b) Radial temperature, β=0.5, mechanical loading first (그림 계속)
표 계속 (c) Radial temperature, β=5.0, thermal loading first (d) Radial temperature, β=5.0, mechanical loading first
표 HRR field 설명
표 복합응력에서의 C(t)-적분 평가를 위한 균열 평가 형상 설명
표 균열 배관에 인장응력만이 작용할 때의 C(t)-적분 평가식 적용 (a) n=5 (b) m=n=5
표 균열 배관에 Bi-axial 응력 작용 시, C(t)-적분 평가식 적용 (a) θ/π=1.0 (b) θ/π=0.125
표 균열 배관에 Bi-axial 응력 작용 시, C(t)-적분 평가식 적용 (a) n=10 θ/π=1.0 (b) n=10 θ/π=0.125
표 균열 배관에 Bi-axial 응력 작용 시, C(t)-적분 평가식 적용 (a) θ/π=1.0 (b) θ/π=0.125
표 Illustration for the typical definition of the elastic follow-up factor for (a) uni-axial stress state and (b) multi-axial stress state
표 Schematic illustration of the definition of the elastic follow-up factors, Z0.5 and Z1, from FE results
표 Schematic diagrams: (a) a one-bar under constant force, N, (b) a one-bar under constant displacement, δ, and (c) a two-bar under constant displacement, δ
표 (a) Time-stress relations, (b) time-strain relations and (c) strain-stress relations of the structures, (d) When actual stress-strain relations
표 (a) Time-stress relations, (b) time-strain relations and (c) strain-stress relations of the structures, (d) When actual stress-strain relations
표 A (plane strain/plane stress) square plate subject to bi-axial displacement-controlled loading
표 (수식) The variations of stress ratios (σ2 /σ1) for the square plate plane stress with normalized stress drop (1- / )
표 Comparison of FE elastic follow-up factors with the analytical solution of Eq. (3.1.20) and Eq. (3.1.21), for the square plate
표 A cruciform plate under bi-axial displacement-controlled loading
표 (수식) Variations of stress ratios, σ2 /σ1 for the cruciform plate with normalized stress drop (1- / ) for selected cases: (a) v =0.3, n=5, T=0.5, L=0.2 and (b) v =0.3, n=5, T=0.8, L=1.0
표 Variations of the analytical solution, Eq. (3.1.28), for cruciform plates under plane stress: (a) T=0.1, L=0.2, (b) T=0.1, L=1, (c) T=0.5, L=0.2, (d) T=0.5, L=1, (e) T=0.8, L=0.2 and (f) T=0.8, L=1
표 Variations of the analytical solution, Eq. (3.1.28), for cruciform plates under plane stress: (a) T=0.1, L=0.2, (b) T=0.1, L=1, (c) T=0.5, L=0.2, (d) T=0.5, L=1, (e) T=0.8, L=0.2 and (f) T=0.8, L=1
표 Variations of the analytical solution, Eq. (3.1.28), for cruciform plates under plane stress: (a) T=0.1, L=0.2, (b) T=0.1, L=1, (c) T=0.5, L=0.2, (d) T=0.5, L=1, (e) T=0.8, L=0.2 and (f) T=0.8, L=1
표 Variation of the slution, Eq. (3.1.28), for crucifrom plate under plane stress : (a) T=1, α =-1, (b) T=1, α =0 and (c) T=1, α =1
표 Variation of the slution, Eq. (3.1.28), for crucifrom plate under plane stress : (a) T=1, α =-1, (b) T=1, α =0 and (c) T=1, α =1
표 Variation of the solution, Eq. (3.1.28), for crucifrom plate under plane stress : (a) T=0.5, L=2, (b) T=0.8, L=2
표 FE mesh for cruciform plates
표 Comparison of FE elastic follow-up factors with the analytical solution, Eq. (3.1.28), for cruciform plastes under plane stress
표 Comparison of FE elastic follow-up factors with the analytical solution, Eq. (3.1.28), for cruciform plastes under plane stress
표 Comparison of FE results with Eq. (3.1.21) with Eq. (3.1.28) : (a) stress relaxation and (b) creep strain
표 Determined elastic follow-up factors for cracked Two-bar
표 Determined elastic follow-up factors for cracked pipe
표 Variations of normalized C(t) with elastic follow-up factors for (a)elastic n=5, (b) elastic n=10, (c) elastic-plastic n=5, and (d) elastic-plastic n=10
표 Variations of normalized C(t) with elastic follow-up factors for (a)elastic n=5, (b) elastic n=10, (c) elastic-plastic n=5, and (d) elastic-plastic n=10
표 Schematic diagram for the elastic follow-up factor based on the reference stress method
표 (a) Geometries of cracked two-bar considered in this work, (b) a typical finite element mesh for cracked two-bar, and (c) Geometries of cracked pipe considered in this work
표 Variations of Vo obtained from FE results for a/w=0.1 ; for two value of (a) m=5 and (b) m=10
표 Variations of Z with β ; for two value of (a) m=5 and (b) m=10
표 Comparisons the predicted C(t) with finite element analysis results for Two-bar
표 Comparisons the predicted C(t) with finite element analysis results for Two-bar
표 Comparisons the predicted C(t) with finite element analysis results for Two-bar
표 Comparisons the predicted C(t) with finite element analysis results for Two-bar, when m and n are deferent
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-creep n=5, β=0.3, a/t=0.1, (b) elastic-creep n=5, β=0.3, a/t=0.3, and (c) elastic-creep n=5, β=0.3, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-creep n=5, β=0.3, a/t=0.1, (b) elastic-creep n=5, β=0.3, a/t=0.3, and (c) elastic-creep n=5, β=0.3, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-creep n=5, β=0.6, a/t=0.1, (b) elastic-creep n=5, β=0.6, a/t=0.3, and (c) elastic-creep n=5, β=0.6, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-creep n=5, β=0.6, a/t=0.1, (b) elastic-creep n=5, β=0.6, a/t=0.3, and (c) elastic-creep n=5, β=0.6, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-creep n=5, β=1.0, a/t=0.1, (b) elastic-creep n=5, β=1.0, a/t=0.3, and (c) elastic-creep n=5, β=1.0, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-creep n=5, β=1.0, a/t=0.1, (b) elastic-creep n=5, β=1.0, a/t=0.3, and (c) elastic-creep n=5, β=1.0, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-creep n=10, β=0.3, a/t=0.1, (b) elastic-creep n=10, β=0.3, a/t=0.3, and (c) elastic-creep n=10, β=0.3, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-creep n=10, β=0.3, a/t=0.1, (b) elastic-creep n=10, β=0.3, a/t=0.3, and (c) elastic-creep n=10, β=0.3, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-creep n=10, β=0.6, a/t=0.1, (b) elastic-creep n=10, β=0.6, a/t=0.3, and (c) elastic-creep n=10, β=0.6, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-creep n=10, β=0.6, a/t=0.1, (b) elastic-creep n=10, β=0.6, a/t=0.3, and (c) elastic-creep n=10, β=0.6, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-plastic-creep n=5, β=0.3, a/t=0.1, (b) elastic-plastic-creep n=5, β=0.3, a/t=0.3, and (c) elastic-plastic-creep n=5, β=0.3, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-plastic-creep n=5, β=0.3, a/t=0.1, (b) elastic-plastic-creep n=5, β=0.3, a/t=0.3, and (c) elastic-plastic-creep n=5, β=0.3, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-plastic-creep n=5, β=0.6, a/t=0.1, (b) elastic-plastic-creep n=5, β=0.6, a/t=0.3, and (c) elastic-plastic-creep n=5, β=0.6, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-plastic-creep n=5, β=0.6, a/t=0.1, (b) elastic-plastic-creep n=5, β=0.6, a/t=0.3, and (c) elastic-plastic-creep n=5, β=0.6, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-plastic-creep n=5, β=1.0, a/t=0.1, (b) elastic-plastic-creep n=5, β=1.0, a/t=0.3, and (c) elastic-plastic-creep n=5, β=1.0, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-plastic-creep n=5, β=1.0, a/t=0.1, (b) elastic-plastic-creep n=5, β=1.0, a/t=0.3, and (c) elastic-plastic-creep n=5, β=1.0, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-plastic-creep n=10, β=0.3, a/t=0.1, (b) elastic-plastic-creep n=10, β=0.3, a/t=0.3, and (c) elastic-plastic-creep n=10, β=0.3, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-plastic-creep n=10, β=0.3, a/t=0.1, (b) elastic-plastic-creep n=10, β=0.3, a/t=0.3, and (c) elastic-plastic-creep n=10, β=0.3, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-plastic-creep n=10, β=0.6, a/t=0.1, (b) elastic-plastic-creep n=10, β=0.6, a/t=0.3, and (c) elastic-plastic-creep n=10, β=0.6, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-plastic-creep n=10, β=0.6, a/t=0.1, (b) elastic-plastic-creep n=10, β=0.6, a/t=0.3, and (c) elastic-plastic-creep n=10, β=0.6, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-plastic-creep n=10, β=1.0, a/t=0.1, (b) elastic-plastic-creep n=10, β=1.0, a/t=0.3, and (c) elastic-plastic-creep n=10, β=1.0, a/t=0.5
표 Comparisons the predicted C(t) with finite element analysis results for cracked pipe ; (a) elastic-plastic-creep n=10, β=1.0, a/t=0.1, (b) elastic-plastic-creep n=10, β=1.0, a/t=0.3, and (c) elastic-plastic-creep n=10, β=1.0, a/t=0.5
표 Normalized FE limit loads for smooth and notched plane strain beams and axi-symmetric pipes under tension
표 Geometries considered in this work: (a) plane strain smooth and notched beam and (b) smooth and notched axi-symmetric pipe
표 A typical finite element mesh for notched beams and pipes
표 Schematic illustration of stress relaxation and elastic follow-up factor Z
표 Variations of Z with normalized time: (a)-(b) smooth beam, and (c)-(d) notched beam
표 Variations of Z with normalized time: (a)-(b) smooth beam, and (c)-(d) notched beam
표 Variations of equivalent stress and strain with time: (a)-(b) smooth beam, and (c)-(d) notched beam
표 Variations of equivalent stress and strain with time: (a)-(b) smooth beam, and (c)-(d) notched beam
표 Decomposition of stress through the thickness
표 Decomposition of strain through the thickness
표 Variation of Zs with Lr/(β+Lr): (a) smooth beam, and (b) smooth pipe
표 Variation of Zs with the normalized depth x/w for beams and pipes
표 Variation of Zs with the normalized depth x/w for beams and pipes
표 Variation of Zs with the normalized depth x/w for beams and pipes
표 Variation of Zs with Lr/(β+Lr) for smooth and notched (a)-(b) beam and (c)-(d) pipe
표 Variation of Zs with Lr/(β+Lr) for smooth and notched (a)-(b) beam and (c)-(d) pipe
표 Variation of maximum Zs with n : (a) notched beam and (b) notched pipe
표 Decomposition of elastic follow-up factor
표 Schematic illustration on the sum of creep strain due to primary stress and creep strain due to secondary stress

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크리프파괴역학기반 복합응력하의 고온기기 균열평가 기술 개발
Creep Fracture Mechanics Based Crack Assessment Method for High Temperature Components under Combined Primary and Secondary Stresses 원문보기

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크리프파괴역학기반 복합응력하의 고온기기 균열평가 기술 개발 Creep Fracture Mechanics Based Crack Assessment Method for High Temperature Components under Combined Primary and Secondary Stresses 원문보기

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크리프파괴역학기반 복합응력하의 고온기기 균열평가 기술 개발
Creep Fracture Mechanics Based Crack Assessment Method for High Temperature Components under Combined Primary and Secondary Stresses 원문보기

표/그림 (124)

표/그림 (124)