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2015 Vol.28, Issue 1
점소성-손상모델 기반 피로균열 진전속도 전산 평가법 개발
Kim Seul-Kee
,
Kim Jeong-Hyeon
,
Lee Chi-Seung
,
Kim Myung-Hyun
,
Lee Jae-Myung†
Departement of Naval Architecture and Ocean Engineering
Departement of Naval Architecture and Ocean Engineering
Departement of Naval Architecture and Ocean Engineering
Departement of Naval Architecture and Ocean Engineering
Departement of Naval Architecture and Ocean Engineering
•*Corresponding author Lee, Jae-Myung jaemlee@pusan.ac.kr
2015. pp. 1-8
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Abstract

본 논문에서는 재료 점소성-손상모델을 기반으로 한 피로균열 진전속도(FCGR) 전산 평가법을 제안한다. 7% 니켈강 재료 거동을 모사하는 점소성-손상모델을 소개하고, 이의 유한요소해석 플랫폼에의 적용을 위해 상용 유한요소해석 프로그램인 ABAQUS에서 제공하는 사용자 정의 재료 서브루틴(UMAT)에 재료모델을 탑재하였다. 개발 UMAT의 검증을 위해 7% 니켈강 재료 인장시험 시뮬레이션을 수행하였으며, 이를 통해 재료정수를 획득하였다. 또한, 피로하중에 따른 손상해석에 있어 계산 시간 단축을 위한 jump-in-cycles 과정과 임계 손상 값 조정 및 피로 예비 균열 시뮬레이션을 수행하였고 이들 과정을 개발 UMAT에 탑재하여 해석을 수행하였다. 개발 UMAT을 활용하여 7% 니켈강의 상온 FCGR 테스트 시뮬레이션을 수행하였으며, 균열길이(a)와 주기 수(number of cycles)의 관계 및 1 cycle 당 균열성장량(da/dN)과 응력확대계수 진폭( ∆K)의 관계 등의 결과를 실험결과와 비교하여 검증하였다.

In this paper, computational evaluation method for fatigue crack growth rate(FCGR) based on material viscoplastic-damage model is proposed. Viscoplastic-damage model expressing material constitutive behavior of 7% nickel steel is introduced and is implemented into commercial finite element analysis(FEA) code, ABAQUS, as a user defined material subroutine(UMAT) for application in the FEA environments. Verification of developed UMAT and material parameters of material model are carried out by uniaxial tensile test simulations of 7% nickel steel. Moreover, jump-in-cycles procedure and rearrangement of critical damage are employed and also implemented to the ABAQUS UMAT for fatigue damage analysis. Typical FCGR test results such as relationship between crack length and number of cycles and relationship between da/dN and ∆K could be obtained from FCGR test simulation using developed UMAT and these results are compared with experimental results in order to verify of proposed computational method.

키워드
피로균열 진전속도, 손상역학, 유한요소해석, ABAQUS 사용자 정의 재료 서브루틴
fatigue crack growth rate(FCGR), damage mechanics, finite element analysis, ABAQUS user defined material subroutine(UMAT)
References
1
Anderson T.L. 2005Fracture Mechanics, 3rd ed. Taylor &Francis,New York
2
ASTM E647-13a 2013Standard Test Method for Measurement of Fatigue Crack Growth RatesAnnual Book of ASTM Standards, vol. 3.01ASTM International
3
A., Benallal, R., Billardon and J., Lemaitre, 1991. Continuum Damage Mechanics and Local Approach to Fracture : Numerical Procedures. Comput. Methods Appl. Mech. &Eng., 92, pp.141-155.
10.1016/0045-7825(91)90236-Y
4
S.R., Bodner and K.S., Chan, 1986. Modeling of Continuum Damage for Application in Elastic- Viscoplastic Constitutive Equations. Eng. Fract. Mech., 25, pp.705-712.
10.1016/0013-7944(86)90034-2
5
Bodner S.R. 2002Unified Plasticity for Engineering Applications1st ed., Kluwer Academic &Plenum PublishersNew York
6
A., de-Andres, J.L., Perez and M., Ortiz, 1999. Elastoplastic Finite Element Analysis of Three- dimensional Fatigue Crack Growth in Aluminum Shafts Subjected to Axial Loading. Int. J. Solids &Struct., 36, pp.2231-2258.
10.1016/S0020-7683(98)00059-6
7
D.R., Hayhurst and F.A., Leckie, 1977. Constitutive Equations for Creep Rupture. Acta Mater., 25, pp.1059-1070.
10.1016/0001-6160(77)90135-3
8
J.W., Kwon and H.T., Yang, 2002. Fatigue Crack Growth Rates and Directions in STS304 under Mode I and Mixed Mode. Trans. Korean Soc. Mach. Tool Eng., 11, pp.102-109.
9
C.S., Lee, B.M., Yoo, M.H., Kim and J.M., Lee, 2013. Viscoplastic Damage Model for Austenitic Stainless Steel and Its Application to the Crack Propagation Ploblem at Cryogenic Temperatures. Int. J. Damage Mech, 22, pp.95-115.
10.1177/1056789511434816
10
Lemaitre J. Chaboche J.L. 1990Mechanics of Solid Materials1st ed., Cambridge University Press
10.1017/CBO9781139167970PMC1131126
11
Lemaitre J. 1992A Course on Damage Mechanics2nd ed. Springer
10.1007/978-3-662-02761-5
12
Lemaitre J. Desmorat R. 2005Engineering Damage Mechanics1st ed., Springer
13
N., Moes, J., Dolbow and T., Belytschko, 1999. A Finite Element Method for Crack Growth without Remeshing. Int. J. Numer. Methods Eng., 46, pp.131-150.
10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J
14
Mishnaevsky L.Jr. 2007Computational Meso- mechanics of Composites1st ed., John Wiley &SonsNew York
15
K.L., Roe and T., Siegmund, 2003. An Irreversible Cohesive Zone Model for Interface Fatigue Crack Growth Simulation. Eng. Fract. Mech., 70, pp.209-232.
10.1016/S0013-7944(02)00034-6
16
M., Stolarska, D.L., Chopp, N., Moes and T., Belytschko, 2001. Modelling Crack Growth by Level Sets in the Extended Finite Element Method. Int. J. Numer. Methods. Eng., 51, pp.943-960.
10.1002/nme.201
17
B., Yang, S., Mall and K., Ravi-Chandar, 2001. A Cohesive Zone Model for Fatigue Crack Growth in Quasibrittle Materials. Int. J. Solids &Struct., 38, pp.3927-3944.
10.1016/S0020-7683(00)00253-5
Information
  • Publisher :Computational Structural Engineering Institute of Korea
  • Publisher(Ko) :한국전산구조공학회
  • Journal Title :Journal of the Computational Structural Engineering Institute of Korea
  • Journal Title(Ko) :한국전산구조공학회 논문집
  • Volume : 28
  • No :1
  • Pages :1-8
  • Received Date : 2014-07-26
  • Revised Date : 2014-09-02
  • Accepted Date : 2014-10-22
  • DOI :https://doi.org/10.7734/COSEIK.2015.28.1.1
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