Research Progress on Fatigue Damage of Integrally Stiffened Structure

doi:10.3901/JME.2024.18.116

Abstract

Abstract: Large sized metal rotator components are widely used as the bearing part in high-end industrial equipment such as aerospace industry, missiles and submarines. Integrally stiffened structure is one of the typical structures of large sized metal rotary components, which has high specific strength and stiffness. It meets the requirements of new generation of aerospace vehicles, strategic missiles and ships and other equipment to be large-scale, lightweight, high reliability. Fatigue failure is one of the main failure mode of integral stiffened plate structure. The anisotropy of the integrally stiffened structure lead to uneven stress distribution, causing the propagation path of fatigue crack in the integrally stiffened structure is complex and changeable. Based on crack turning and across reinforcement, the two typical crack propagations, the crack arrest mechanism of the stiffener on the structure and its influencing factors are summarized. From the perspective of fracture mechanics, the research methods and research progress of stress intensity factor K, J integral and crack opening displacement parameters are summarized. From the perspective of damage mechanics theory and numerical model, the research situation of cohesive zone model, GTN and its modified model in the ductile damage of integrally stiffened structure is sorted out and analyzed, and the existing research problems and future development trend are further pointed out.

Key words: integrally stiffened structure, fatigue crack growth, fracture mechanics, damage model, crack arrest performance

CLC Number:

TG668

GAO Chong, DONG Lihong, WANG Haidou, LIU Bin, Lü Xiaoren. Research Progress on Fatigue Damage of Integrally Stiffened Structure[J]. Journal of Mechanical Engineering, 2024, 60(18): 116-127.

References

[1] 张洪瑞，詹梅，郑泽邦，等. 航天大型薄壁回转曲面构件成形制造技术的发展与挑战[J]. 机械工程学报，2022，58(20)：166-185. ZHANG Hongrui，ZHAN Mei，ZHENG Zebang，et al. Development and challenge of forming manufacturing technologies for aerospace large-scale thin-wall axisymmetric curved-surface components[J]. Journal of Mechanical Engineering，2022，58(20)：166-185.
[2] PETTIT R G. Crack turning in integrally stiffened aircraft structures[D]. Ann Arbor：Cornell University，2000.
[3] FENG G Q，WANG Y T，GARBATOV Y，et al. Experimental and numerical analysis of crack growth in stiffened panels[J]. Ships and Offshore Structures，2021，16(9)：980-992.
[4] 王少华，赖小明，王博，等. 非焊接壁板密封舱多道次旋压整体制造研究[J]. 载人航天，2021，27(2)：215-220. WANG Shaohua，LAI Xiaoming，WANG Bo，et al. Study on integrated manufacturing technology of non-welded spacecraft structure with multi-pass spin-forming[J]. Manned Spaceflight，2021，27(2)：215-220.
[5] ZHANG M，CAO Z，GUO Y，et al. Stress，damage，and fatigue performance analysis of CFRP/Al double-sided countersunk riveted joints with variable rivet-hole clearance[J]. International Journal of Fatigue，2024，186：108385
[6] 肖晋，胡玉梅，金晓清，等. 基于各向异性GTN模型的铝合金损伤参数确定[J]. 机械强度，2018，40(5)：1189-1193. XIAO Jin，HU Yumei，JIN Xiaoqing，et al. Damage parameters identification of aluminum alloy based on anisotropic GTN model[J]. Journal of Mechanical Strength，2018，40(5)：1189-1193.
[7] KRAUSE M，LYSSAKOW P，SCHRÖDER K U. Improved approach for the panel buckling calculation of stiffened shell structures with torsional stiff stringer[J]. Thin-Walled Structures，2022，171：108829.
[8] NESTERCHUK G A. Buckling of a clamped stiffened cylindrical shell[J]. Vestnik St. Petersburg University Mathematics，2021，54(2)：145-150.
[9] JABAREEN M，SHEINMAN I. Stability of imperfect stiffened conical shells[J]. International Journal of Solids and Structures，2009，46(10)：2111-2125.
[10] 刘双燕，涂玉倩，苗应刚，等. 筋的截面形状对薄壁结构振动疲劳性能的影响[J]. 航空工程进展，2017(8)：190-198. LIU Shuangyan，TU Yuqian，MIAO Yinggang，et al. Effects of stiffeners’ cross section shape on thin walled structures' vibration fatigue property[J]. Advances in Aeronautical Science and Engineering，2017(8)：190-198.
[11] GAO C，ZHANG H，LI H，et al. Numerical and experimental investigation of vibro-acoustic characteristics of a submerged stiffened cylindrical shell excited by a mechanical force[J]. Ocean Engineering，2022，249：110913.
[12] PENG Z，SONG Y，YANG P，et al. Stress intensity factor analysis for mixed-mode fracture behavior of inclined semi-elliptical surface crack in stiffened plate under tension load[J]. Ocean Engineering，2024，291：116405.
[13] SONG Y，XU Z，ZHANG J，et al. Experimental study of low-cycle fatigue crack propagation in hull stiffened plates with symmetric and asymmetric cracks[J]. Ocean Engineering，2024，299：117303.
[14] 杨翔宁，许希武，郭树祥. 典型加筋板结构面内裂纹偏转与扩展行为分析[J]. 哈尔滨工业大学学报，2017，49(4)：42-47. YANG Xiangning，XU Xiwu，GUO Shuxiang. Analysis of crack turning and fracture characteristics of a stiffened panel[J]. Journal of Harbin Institute of Technology，2017，49(4)：42-47.
[15] ZERBST U，HEINIMANN M，DALLE DONNE C，et al. Fracture and damage mechanics modelling of thin-walled structures-an overview[J]. Engineering Fracture Mechanics，2009，76(1)：5-43.
[16] SCHEIDER I，BROCKS W. Cohesive elements for thin-walled structures[J]. Computational Materials Science，2006，37(1-2)：101-109.
[17] 秦剑波. 整体加筋结构裂纹转折理论及其应用研究[D]. 西安：西北工业大学，2006. QIN Jianbo. Studies on the crack turning theories for integrally stiffened structures and it’s application[D]. Xi’an：Northwestern Polytechnical University，2006.
[18] ERDOGAN F，SIH G C. On the crack extension in plates under plane loading and transverse shear[J]. Journal of Fluids Engineering，1963，85(4)：519-525.
[19] WILLIAMS J G，EWING P D. Fracture under complex stress—the angled crack problem[J]. International Journal of Fracture Mechanics，1972，8(4)：441-446.
[20] SCHEIDER I，BROCKS W. Cohesive elements for thin-walled structures[J]. Computational Materials Science，2006，37(1-2)：101-109.
[21] BROCKS W. Plasticity and fracture[M]. Cham：Springer International Publishing，2018.
[22] MAHMOUD H N，DEXTER R J. Propagation rate of large cracks in stiffened panels under tension loading[J]. Marine Structures，2005，18(3)：265-288.
[23] KUCHARSKI D M P，PINTO V T，ROCHA L A O，et al. Geometric analysis by constructal design of stiffened steel plates under bending with transverse I-shaped or t-shaped stiffeners[J]. Facta Universitatis. Series：Mechanical Engineering，2022，20(3)：617-632.
[24] LLOPART L，KURZ B，WELLHAUSEN C，et al. Investigation of fatigue crack growth and crack turning on integral stiffened structures under mode I loading[J]. Engineering Fracture Mechanics，2006，73(15)：2139-2152.
[25] 周游. 整体加筋壁板裂纹的应力强度因子研究[J]. 四川理工学院学报，2017，30(2)：78-83. ZHOU You. Analysis of the stress intensity factors for integrally stiffened cracked panel[J]. Journal of Sichuan University of Science & Engineering，2017，30(2)：78-83.
[26] SONG Y，YANG P，HU K，et al. Study of low-cycle fatigue crack growth behavior of central-cracked stiffened plates[J]. Ocean Engineering，2021，241：110083.
[27] HUANG X，LIU Y，HUANG X，et al. Crack arrest behavior of central-cracked stiffened plates under uniform tensions[J]. International Journal of Mechanical Sciences，2017，133：704-719.
[28] RØNNING L，AALBERG A，LARSEN P K. An experimental study of ultimate compressive strength of transversely stiffened aluminium panels[J]. Thin-Walled Structures，2010，48(6)：357-372.
[29] BABAZADEH A，KHEDMATI M R. Ultimate strength of cracked ship structural elements and systems：A review[J]. Engineering Failure Analysis，2018，89：242-257.
[30] HOSSEINABADI O F，KHEDMATI M R. A review on ultimate strength of aluminium structural elements and systems for marine applications[J]. Ocean Engineering，2021，232：109153.
[31] 朱琳. 基于XFEM的加筋板结构疲劳裂纹扩展模拟方法研究[D]. 大连：大连理工大学，2021. ZHU Lin. Research on simulation method of fatigue crack growth of stiffened plate structure based on XFEM[D]. Dalian：Dalian University of Technology，2021.
[32] AL LAHAM S，BRANCH S I. Stress intensity factor and limit load handbook[M]. Gloucester：British Energy Generation Limited，1998.
[33] KWON S W，SUN C T. Characteristics of three-dimensional stress fields in plates with a through-the-thickness crack[J]. International Journal of Fracture，2000，104(3)：289-314.
[34] HE W，LIU J，XIE D. Numerical study on fatigue crack growth at a web-stiffener of ship structural details by an objected-oriented approach in conjunction with ABAQUS[J]. Marine Structures，2014，35：45-69.
[35] BOŽIĆ Ž，SCHMAUDER S，WOLF H. The effect of residual stresses on fatigue crack propagation in welded stiffened panels[J]. Engineering Failure Analysis，2018，84：346-357.
[36] MALEKAN M，KHOSRAVI A，ST-PIERRE L. An ABAQUS plug-in to simulate fatigue crack growth[J]. Engineering with Computers，2021，38：2991-3005.
[37] SUKUMAR N，MOËS N，MORAN B，et al. Extended finite element method for three-dimensional crack modelling[J]. International Journal for Numerical Methods in Engineering，2000，48(11)：1549-1570.
[38] PENG Y，YANG P. Analysis of dynamic stress intensity factors for cracked stiffened plates based on extended FE method[J]. International Journal of Maritime Engineering，2020，162：35-45.
[39] WANG T，HAN H，HUANG G，et al. Three-layer phase-field model of finite strain shell for simulating quasi-static and dynamic fracture of elastoplastic materials[J]. Engineering Fracture Mechanics，2022，267：108435.
[40] DEVARAJAN B，KAPANIA R K. Analyzing thermal buckling in curvilinearly stiffened composite plates with arbitrary shaped cutouts using isogeometric level set method[J]. Aerospace Science and Technology，2022，121：107350.
[41] ZHANG Q，LI S，ZHANG A，et al. A nonlocal nonlinear stiffened shell theory with stiffeners modeled as geometrically-exact beams[J]. Computer Methods in Applied Mechanics and Engineering，2022，397：115150.
[42] STARNES，JR J，BRITT V，et al. Nonlinear response and residual strength of damaged stiffened shells subjected to combined loads[C]//37th Structure，Structural Dynamics and Materials Conference. 1996：1555.
[43] HUTCHINSON J W. Singular behaviour at the end of a tensile crack in a hardening material[J]. Journal of the Mechanics and Physics of Solids，1968，16(1)：13-31.
[44] PARKS D M. The virtual crack extension method for nonlinear material behavior[J]. Computer Methods in Applied Mechanics and Engineering，1977，12(3)：353-364.
[45] MORAN B，SHIH C F. A general treatment of crack tip contour integrals[J]. International Journal of Fracture，1987，35(4)：295-310.
[46] CHANG D，YANG X，PENG H，et al. A critical elastic strain energy storage-based concept for characterizing crack propagation in elastic-plastic materials[J]. Engineering Fracture Mechanics，2022，264：108335.
[47] DENG H，YAN B，OKABE T. A new path-independent interaction integral for dynamic stress intensity factors of cracked structures[J]. International Journal of Solids and Structures，2022，243：111559.
[48] DENG H，YAN B，OKABE T. Fatigue crack propagation simulation method using XFEM with variable-node element[J]. Engineering Fracture Mechanics，2022，269：108533.
[49] HUANG X，LIU Y，DAI Y. Characteristics and effects of t-stresses in central-cracked unstiffened and stiffened plates under mode I loading[J]. Engineering Fracture Mechanics，2018，188：393-415.
[50] 夏世林，磨季云. 基于J积分的含裂纹加筋板在单轴拉伸载荷下的极限强度计算[J]. 舰船科学技术，2021，43(7)：34-39，59. XIA Shilin，MO Jiyun. Ultimate strength calculation of cracked stiffened-panel under loading of uniaxial tension using j-integral theory[J]. Ship Science and Technology，2021，43(7)：34-39，59.
[51] WELLS A A. The application of fracture mechanics to yielding materials[J]. Proceedings of The Royal Society of London. Series a. Mathematical and Physical Sciences，1965，285(1400)：34-45.
[52] SEDMAK A，GRBOVIC A，PETROVSKI B，et al. The effects of welded clips on fatigue crack growth in AA6156 T6 panels[J]. International Journal of Fatigue，2022，165：107162.
[53] SHAIKH R K，KHAN T，AHMED S A. Fracture analysis of thin aluminum sheet by j integer and CTOD technique using FEA validated by experimental[J]. Procedia Engineering，2017，173：1191-1197.
[54] GONZÁLES G L G，GONZÁLEZ J A O，PAIVA V E L，et al. Crack-tip plastic zone size and shape via DIC[C]//Fracture，Fatigue，Failure and Damage Evolution，Volume 6. Cham：Springer，2019：5-10.
[55] SONG H，LIU C，ZHANG H，et al. Experimental investigation on damage evolution in pre-corroded aluminum alloy 7075-t7651 under fatigue loading[J]. Materials Science and Engineering：A，2021，799：140206.
[56] CHEN J，HUANG Y，DONG L，et al. A new method for cyclic crack-tip plastic zone size determination under cyclic tensile load[J]. Engineering Fracture Mechanics，2014，126：141-154.
[57] JIANG W，YANG P，LUO B，et al. Responses of cracked stiffened plates to low-cycle fatigue loads[J]. Ocean Engineering，2021，241：109986.
[58] 余寿文，冯西桥. 损伤力学[M]. 北京：清华大学出版社，1997. YU Shouwen，FENG Xiqiao. Damage mechanics[M]. Beijing：Tsinghua University Press，1997.
[59] JAVILI A，MORASATA R，OTERKUS E，et al. Peridynamics review[J]. Mathematics and Mechanics of Solids，2019，24(11)：3714-3739.
[60] DUGDALE D S. Yielding of steel sheets containing slits[J]. Journal of the Mechanics and Physics of Solids，1960，8(2)：100-104.
[61] BARENBLATT G I. The mathematical theory of equilibrium cracks in brittle fracture[J]. Advances In Applied Mechanics，1962，7：55-129.
[62] NEEDLEMAN A. A continuum model for void nucleation by inclusion debonding[J]. Journal of Applied Mechanics，1987，54(3)：525-531.
[63] BROCKS W. Plasticity and Fracture[M]. Switzerland：Springer，2018.
[64] MÉÏTÉ M，KAPTCHOUANG N B N，MONERIE Y，et al. Handbook of Damage Mechanics[M]. New York：Springer，2022.
[65] BROCKS W，SCHEIDER I. Prediction of crack path bifurcation under quasi-static loading by the cohesive model[J]. Structural Durability & Health Monitoring，2007，3(2)：69.
[66] TVERGAARD V，NEEDLEMAN A. Analysis of the cup-cone fracture in a round tensile bar[J]. Acta Metallurgica，1984，32(1)：157-169.
[67] GURSON A L. Continuum theory of ductile rupture by void nucleation and growth：part I—yield criteria and flow rules for porous ductile media[J]. Journal of Engineering Materials and Technology，1977，99(1)：297-300.
[68] SCHIAVONE A，ABEYGUNAWARDANA- ARACHCHIGE G，SILBERSCHMIDT V V. Crack initiation and propagation in ductile specimens with notches：experimental and numerical study[J]. Acta Mechanica，2016，227(1)：203-215.
[69] HE Z，ZHU H，HU Y. An improved shear modified GTN model for ductile fracture of aluminium alloys under different stress states and its parameters identification[J]. International Journal of Mechanical Sciences，2021，192：106081.
[70] REN B，LI S. Modeling and simulation of large-scale ductile fracture in plates and shells[J]. International Journal of Solids and Structures，2012，49(18)：2373-2393.
[71] HU Y，REN B，NI K，et al. Meshfree simulations of large scale ductile fracture of stiffened ship hull plates during ship stranding[J]. Meccanica，2020，55(4)：833-860.
[72] WANG Z，HU Z，LIU K，et al. Application of a material model based on the Johnson-Cook and Gurson- Tvergaard-Needleman model in ship collision and grounding simulations[J]. Ocean Engineering，2020，205：106768.
[73] 陈同祥，张琳，赵长喜，等. 天宫一号整体壁板式密封舱结构技术[J]. 中国科学：技术科学，2014，44(2)：150-161. CHEN Tongxiang，ZHANG Lin，ZHAO Changxi，et al. The technique of integrally stiffened structure for tiangong-1 pressurized module[J]. Science China：Tech Science，2014，44(2)：150-161.