薄壁结构剩余强度预测方法研究进展
Research Progress on Residual Strength Prediction of Thin-walled Structures
摘 要
综述了目前比较重要的薄壁结构剩余强度预测方法,介绍了采用应力强度因子、裂纹尖端张开位移δCTOD、裂纹尖端张开角度ψCTOA、内聚力模型参数、能量耗散、临界拉伸应力以及GTN损伤模型等方法预测剩余强度的详细过程,并比较了各种方法在预测薄壁结构剩余强度时的优缺点.此外对整体结构和非整体结构在预测时的一些细节问题也进行了分析,包括多位置损伤、裂纹偏移和分叉、焊接残余应力和强度适配以及粘接结构的问题等.
断裂力学
损伤力学
剩余强度
稳定裂纹扩展
thin-walled structure
fracture mechanics
damage mechanics
residual strength
stable crack extension
Abstract
The most important current approaches for residual strength prediction of thin-walled structures were reviewed.The detail process of residual strength prediction by using stress intensity factor,crack tip opening displacement δCTOD,crack tip opening angle ψCTOA,cohesive zone model parameters,separation energy,critical tensile stress and Gurson-Tvergaard-Needleman damage model was introduced and discussed with respect to their benefits and limitations for the simulation of plane and stiffened panels.In addition,specific aspects of modern non-integral and integral structures were addressed.These comprised multi-site damage,crack deviation and branching,welding residual stresses and strength mismatch in material compounds and problems in bonded structures.
中图分类号 TG115.5+7 DOI 10.11973/lhjy-wl201508001
所属栏目 专题报道(疲劳试验和断裂试验)
基金项目 国家自然科学基金资助项目(11272019);国家自然科学基金重大国际合作资助项目(51010006)
收稿日期 2015/1/25
修改稿日期
网络出版日期
作者单位点击查看
备注赵延广(1981-),男,工程师,博士.
引用该论文: ZHAO Yan-guang,LIU Jian-zhong,HU Ben-run,CHEN Bo,GUO Xiang. Research Progress on Residual Strength Prediction of Thin-walled Structures[J]. Physical Testing and Chemical Analysis part A:Physical Testing, 2015, 51(8): 525～534
赵延广,刘建中,胡本润,陈勃,郭翔. 薄壁结构剩余强度预测方法研究进展[J]. 理化检验－物理分册, 2015, 51(8): 525～534
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参考文献
【1】NEWMAN JR J C.Advances in fatigue and fracture mechanics analyses for metallic aircraft structures[C]∥Processing of the 20th ICAF Symposium of the International Committee on Aeronautical Fatigue.Bellevue,Washington:Ptantema Memorial Lecture,1999:3-42.
【2】ZERBST U,SCHDEL M,WEBSTER S,et al.Fitness-for-service fracture assessment of structures containing cracks:A workbook based on the European SINTAP/FITNET procedure[M].[S.l.]:Academic Press,2013.
【3】WEITZMANN R H,FINNIE I.Measuring fracture toughness-A simplified approach using controlled crack propagation[J].Journal of Materials,1972,7(3):294-9.
【4】KRAFFT J M,SULLIVAN A M,BOYLE R W.Effect of dimensions on fast fracture instability of notched sheets[C]//Proceedings of the Crack Propagation Symposium.[S.l.]:[s.n.],1961:8-28.
【5】SCHWALBE K H,NEWMAN J C,SHANNON J L.Fracture mechanics testing on specimens with low constraint-standardisation activities within ISO and ASTM[J].Engineering Fracture Mechanics,2005,72(4):557-576.
【6】CONCALVES W,PRAMONO A,CHAVES C E.Embraer new family of jets-meeting the current fatigue and damage tolerance requirements[C]//Processing of the 22th ICAF Symposium of the International Committee on Aeronautical Fatigue.Sheffield,UK:Committee on Aeronautical Fatigue,2004:231-257.
【7】ANDERSSON H.A finite-element representation of stable crack-growth[J].Journal of the Mechanics and Physics of Solids,1973,21(5):337-356.
【8】DEMOFONTI G,RIZZI L.Experimental evaluation of CTOA in controlling unstable ductile fracture pro-pagation[C]//EGF9.[S.l.]:[s.n.],2013.
【9】KANNINEN M F,POPELAR C H,BROEK D.A critical survey on the application of plastic fracture mechanics to nuclear pressure vessels and piping[J].Nuclear Engineering and Design,1981,67(1):27-55.
【10】DAWICKE D S,SUTTON M A.CTOA and crack-tunneling measurements in thin sheet 2024-T3 aluminum alloy[J].Experimental Mechanics,1994,34(4):357-368.
【11】SHTERENLIKHT A,HASHEMI S H,HOWARD I C,et al.A specimen for studying the resistance to ductile crack propagation in pipes[J].Engineering Fracture Mechanics,2004,71(13):1997-2013.
【12】LLOYD W R.Microtopography for ductile fracture process characterizationPart 1:Theory and methodology[J].Engineering Fracture Mechanics,2003,70(3):387-401.
【13】LLOYD W R,MCCLINTOCK F A.Microtopography for ductile fracture process characterizationPart 2:Application for CTOA analysis[J].Engineering Fracture Mechanics,2003,70(3):403-415.
【14】MAHMOUD S,LEASE K.Two-dimensional and three-dimensional finite element analysis of critical crack-tip-opening angle in 2024-T351 aluminum alloy at four thicknesses[J].Engineering Fracture Mechanics,2004,71(9):1379-1391.
【15】NEWMAN J C,CREWS J H,BIGELOW C A,et al.Variations of a global constraint factor in cracked bodies under tension and bending loads[J].ASTM Special Technical Publication,1995,1244:21-42.
【16】JAMES M A,NEWMAN JR J C,JOHNSTON JR W M.Three-dimensional analyses of crack-tip-opening angles and δ5-resistance curves for 2024-T351 aluminum alloy[J].ASTM STP,2002,1406:279-97.
【17】JAMES M A,NEWMAN J C.The effect of crack tunneling on crack growth:Experiments and CTOA analyses[J].Engineering Fracture Mechanics,2003,70(3):457-468.
【18】DUGDALE D S.Yielding of steel sheets containing slits[J].Journal of the Mechanics and Physics of Solids,1960,8(2):100-104.
【19】NEEDLEMAN A.A continuum model for void nucleation by inclusion debonding[J].Journal of Applied Mechanics,1987,54(3):525-531.
【20】ELICES M,GUINEA G V,GOMEZ J,et al.The cohesive zone model:Advantages,limitations and challenges[J].Engineering Fracture Mechanics,2002,69(2):137-163.
【21】NEGRE P,STEGLICH D,BROCKS W.Crack extension at an interface:Prediction of fracture toughness and simulation of crack path deviation[J].International Journal of Fracture,2005,134(3/4):209-229.
【22】YUAN H,LIN G,CORNEC A.Verification of a cohesive zone model for ductile fracture[J].Journal of Engineering Materials and Technology,1996,118(2):192-200.
【23】LI W,SIEGMUND T.An analysis of crack growth in thin-sheet metal via a cohesive zone model[J].Engineering Fracture Mechanics,2002,69(18):2073-2093.
【24】SCHEIDER I,BROCKS W.Residual strength prediction of a complex structure using crack extension analyses[J].Engineering Fracture Mechanics,2009,76(1):149-163.
【25】KACHANOV L M.On the time to failure under creep conditions[J].IzvAN Akad Nauk SSR,1958,8:26-31.
【26】BEREMIN F M.Cavity formation from inclusions in ductile fracture of A508 steel[J].Metallurgical Transactions:A,1981,12(5):723-731.
【27】BEREMIN F M,PINEAU A,MUDRY F,et al.A local criterion for cleavage fracture of a nuclear pressure vessel steel[J].Metallurgical Transactions:A,1983,14(11):2277-2287.
【28】LEMAITRE J.Local approach of fracture[J].Engineering Fracture Mechanics,1986,25(5):523-537.
【29】NEEDLEMAN A,TVERGAARD V.An analysis of ductile rupture in notched bars[J].Journal of the Mechanics and Physics of Solids,1984,32(6):461-490.
【30】NEEDLEMAN A,TVERGAARD V.An analysis of ductile rupture modes at a crack tip[J].Journal of the Mechanics and Physics of Solids,1987,35(2):151-183.
【31】BROCKS W,KLINGBEIL D,KUNECKE G,et al.Application of the Gurson model to ductile tearing resistance[J].ASTM Special Technical Publication,1995,1244:232-254.
【32】RUGGIERI C,PANONTIN T L,DODDS JR R H.Numerical modeling of ductile crack growth in 3-D using computational cell elements[J].International Journal of Fracture,1990,82(1):67-95.
【33】N GRE P,STEGLICH D,BROCKS W.Crack extension in aluminium welds:A numerical approach using the Gurson-Tvergaard-Needleman model[J].Engineering Fracture Mechanics,2004,71(16):2365-2383.
【34】WYART E,COULON D,PARDOEN T,et al.Application of the substructured finite element/extended finite element method (s-FE/XFE)to the analysis of cracks in aircraft thin walled structures[J].Engineering Fracture Mechanics,2009,76(1):44-58.
【35】AINSWORTH R A.Assessment of the integrity of structure containing defect[M].R6-Revision 4.London:British Energy Generation Ltd.,2001.
【36】INSTITUTION B S.Guide on methods for assessing the acceptability of flaws in metallic structures[M].London:British Standards Institute,2000.
【37】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.
【38】BROCKS W,SCHWALBE K H,ZERBST U.Structural integrity assessment of thin-walled structures[J].Advanced Engineering Materials,2006,8(5):319-327.
【39】NEWMAN J C,DAWICKE D S,SESHADRI B R.Residual strength analyses of stiffened and un-stiffened panelsPart I:Laboratory specimens[J].Engineering Fracture Mechanics,2003,70(3):493-507.
【40】BARWELL C A,EBER L,FYFE I M.A study of failure in small pressurized cylindrical shells containing a crack[M].Langley:National Aeronautics and Space Administration,Langley Research Center,1998.
【41】CHEN C S,WAWRZYNEK P A,INGRAFFEA A R.Crack growth simulation and residual strength prediction in airplane fuselages[R]∥NASA Report.1999:209115.
【42】BROCKS W,SCHEIDER I,SCHDEL M.Simulation of crack extension in shell structures and prediction of residual strength[J].Archive of Applied Mechanics,2006,76(11/12):655-665.
【43】ROY Y A,DODDS JR R H.Simulation of ductile crack growth in thin aluminum panels using 3-D surface cohesive elements[J].International Journal of Fracture,2001,110(1):21-45.
【44】WINDISCH M,SUN D Z,MEMHARD D,et al.Defect tolerance assessment of Ariane 5 structures on the basis of damage mechanics material modelling[J].Engineering Fracture Mechanics,2009,76(1):59-73
【45】SCHIJVE J.Multiple-site damage in aircraft fuselage structures[J].Fatigue & Fracture of Engineering Materials & Structures,1995,18(3):329-344.
【46】LIAO M,SHI G,XIONG Y.Analytical methodology for predicting fatigue life distribution of fuselage splices[J].International Journal of Fatigue,2001,23:177-185.
【47】HARRIS C E,NEWMAN J C,PIASCIK R S,et al.Analytical methodology for predicting widespread fatigue damage onset in fuselage structure[J].Journal of Aircraft,1998,35(2):307-317.
【48】DEWIT R,FIELDS R J,LOW III S R,et al.Fracture testing of large-scale thin-sheet aluminum alloy[J].NASA STI/Recon Technical Report N,1995,96:11671.
【49】SMITH B L,SAVILLE P A,MOUAK A,et al.Strength of 2024-T3 aluminum panels with multiple site damage[J].Journal of Aircraft,2000,37(2):325-331.
【50】DE WIT R,FIELDS R J,MORDFIN L,et al.Fracture behavior of large-scale thin-sheet aluminum alloy[R]∥HAMPTONV A.Proceedings of the FAA/NASA International Symosium Advanced Structural Integrity Methods for Airframe Durability and Damage Tolerance.[S.l.]:NASA Conference Publication,1994.
【51】HOEVE H J,GROOTEMAN F P,DE KONING A U.Analysis of residual strength of stiffened panels with multiple site damage[M].[S.l.]:National Aerospace Laboratory,2001.
【52】HSU C,LO J,YU J,et al.Residual strength analysis using CTOA criteria for fuselage structures containing multiple site damage[J].Engineering Fracture Mechanics,2003,70(3):525-545.
【53】FARAHMAND B.Fracture mechanics of metals,composites,welds,and bolted joints:Application of LEFM,EPFM,and FMDM theory[M].[S.l.]:Springer Science & Business Media,2001.
【54】KOCAK M,WEBSTER S,JANOSCH J J,et al.FITNET fitness-for-service procedure final draft MK7[M].[S.l.]:European Fitness-for-Service Thematic Network-FITNET,2006.
【55】HIGGINS A.Adhesive bonding of aircraft structures[J].International Journal of Adhesion and Adhesives,2000,20(5):367-376.
【56】SCHIJVE J.Crack stoppers and ARALL laminates[J].Engineering Fracture Mechanics,1990,37(2):405-421.
【57】SCHMIDT H J,SCHMIDT-BRANDECKER B.Damage tolerant design and analysis of current and future aircraft structure[C]//AIAA/ICAS International Air and Space Symposium and Exposition,2003:100.
【58】ROSE L R F.A cracked plate repaired by bonded reinforcements[J].International Journal of Fracture,1982,18(2):135-144.
【59】BAKER A A.Crack patching:Experimental studies,practical applications[M]//Bonded Repair of Aircraft Structures.[S.l.]:Springer Netherlands,1988:107-173.
【60】VALOROSO N,CHAMPANEY L.A damage-mechanics-based approach for modelling decohesion in adhesively bonded assemblies[J].Engineering Fracture Mechanics,2006,73(18):2774-2801.
【61】CARLBERGER T,STIGH U.An explicit FE-model of impact fracture in an adhesive joint[J].Engineering fracture mechanics,2007,74(14):2247-2262.
【62】JENSEN H M.Interface fracture in adhesively bonded shell structures[J].Engineering Fracture Mechanics,2008,75(3):571-578.
【2】ZERBST U,SCHDEL M,WEBSTER S,et al.Fitness-for-service fracture assessment of structures containing cracks:A workbook based on the European SINTAP/FITNET procedure[M].[S.l.]:Academic Press,2013.
【3】WEITZMANN R H,FINNIE I.Measuring fracture toughness-A simplified approach using controlled crack propagation[J].Journal of Materials,1972,7(3):294-9.
【4】KRAFFT J M,SULLIVAN A M,BOYLE R W.Effect of dimensions on fast fracture instability of notched sheets[C]//Proceedings of the Crack Propagation Symposium.[S.l.]:[s.n.],1961:8-28.
【5】SCHWALBE K H,NEWMAN J C,SHANNON J L.Fracture mechanics testing on specimens with low constraint-standardisation activities within ISO and ASTM[J].Engineering Fracture Mechanics,2005,72(4):557-576.
【6】CONCALVES W,PRAMONO A,CHAVES C E.Embraer new family of jets-meeting the current fatigue and damage tolerance requirements[C]//Processing of the 22th ICAF Symposium of the International Committee on Aeronautical Fatigue.Sheffield,UK:Committee on Aeronautical Fatigue,2004:231-257.
【7】ANDERSSON H.A finite-element representation of stable crack-growth[J].Journal of the Mechanics and Physics of Solids,1973,21(5):337-356.
【8】DEMOFONTI G,RIZZI L.Experimental evaluation of CTOA in controlling unstable ductile fracture pro-pagation[C]//EGF9.[S.l.]:[s.n.],2013.
【9】KANNINEN M F,POPELAR C H,BROEK D.A critical survey on the application of plastic fracture mechanics to nuclear pressure vessels and piping[J].Nuclear Engineering and Design,1981,67(1):27-55.
【10】DAWICKE D S,SUTTON M A.CTOA and crack-tunneling measurements in thin sheet 2024-T3 aluminum alloy[J].Experimental Mechanics,1994,34(4):357-368.
【11】SHTERENLIKHT A,HASHEMI S H,HOWARD I C,et al.A specimen for studying the resistance to ductile crack propagation in pipes[J].Engineering Fracture Mechanics,2004,71(13):1997-2013.
【12】LLOYD W R.Microtopography for ductile fracture process characterizationPart 1:Theory and methodology[J].Engineering Fracture Mechanics,2003,70(3):387-401.
【13】LLOYD W R,MCCLINTOCK F A.Microtopography for ductile fracture process characterizationPart 2:Application for CTOA analysis[J].Engineering Fracture Mechanics,2003,70(3):403-415.
【14】MAHMOUD S,LEASE K.Two-dimensional and three-dimensional finite element analysis of critical crack-tip-opening angle in 2024-T351 aluminum alloy at four thicknesses[J].Engineering Fracture Mechanics,2004,71(9):1379-1391.
【15】NEWMAN J C,CREWS J H,BIGELOW C A,et al.Variations of a global constraint factor in cracked bodies under tension and bending loads[J].ASTM Special Technical Publication,1995,1244:21-42.
【16】JAMES M A,NEWMAN JR J C,JOHNSTON JR W M.Three-dimensional analyses of crack-tip-opening angles and δ5-resistance curves for 2024-T351 aluminum alloy[J].ASTM STP,2002,1406:279-97.
【17】JAMES M A,NEWMAN J C.The effect of crack tunneling on crack growth:Experiments and CTOA analyses[J].Engineering Fracture Mechanics,2003,70(3):457-468.
【18】DUGDALE D S.Yielding of steel sheets containing slits[J].Journal of the Mechanics and Physics of Solids,1960,8(2):100-104.
【19】NEEDLEMAN A.A continuum model for void nucleation by inclusion debonding[J].Journal of Applied Mechanics,1987,54(3):525-531.
【20】ELICES M,GUINEA G V,GOMEZ J,et al.The cohesive zone model:Advantages,limitations and challenges[J].Engineering Fracture Mechanics,2002,69(2):137-163.
【21】NEGRE P,STEGLICH D,BROCKS W.Crack extension at an interface:Prediction of fracture toughness and simulation of crack path deviation[J].International Journal of Fracture,2005,134(3/4):209-229.
【22】YUAN H,LIN G,CORNEC A.Verification of a cohesive zone model for ductile fracture[J].Journal of Engineering Materials and Technology,1996,118(2):192-200.
【23】LI W,SIEGMUND T.An analysis of crack growth in thin-sheet metal via a cohesive zone model[J].Engineering Fracture Mechanics,2002,69(18):2073-2093.
【24】SCHEIDER I,BROCKS W.Residual strength prediction of a complex structure using crack extension analyses[J].Engineering Fracture Mechanics,2009,76(1):149-163.
【25】KACHANOV L M.On the time to failure under creep conditions[J].IzvAN Akad Nauk SSR,1958,8:26-31.
【26】BEREMIN F M.Cavity formation from inclusions in ductile fracture of A508 steel[J].Metallurgical Transactions:A,1981,12(5):723-731.
【27】BEREMIN F M,PINEAU A,MUDRY F,et al.A local criterion for cleavage fracture of a nuclear pressure vessel steel[J].Metallurgical Transactions:A,1983,14(11):2277-2287.
【28】LEMAITRE J.Local approach of fracture[J].Engineering Fracture Mechanics,1986,25(5):523-537.
【29】NEEDLEMAN A,TVERGAARD V.An analysis of ductile rupture in notched bars[J].Journal of the Mechanics and Physics of Solids,1984,32(6):461-490.
【30】NEEDLEMAN A,TVERGAARD V.An analysis of ductile rupture modes at a crack tip[J].Journal of the Mechanics and Physics of Solids,1987,35(2):151-183.
【31】BROCKS W,KLINGBEIL D,KUNECKE G,et al.Application of the Gurson model to ductile tearing resistance[J].ASTM Special Technical Publication,1995,1244:232-254.
【32】RUGGIERI C,PANONTIN T L,DODDS JR R H.Numerical modeling of ductile crack growth in 3-D using computational cell elements[J].International Journal of Fracture,1990,82(1):67-95.
【33】N GRE P,STEGLICH D,BROCKS W.Crack extension in aluminium welds:A numerical approach using the Gurson-Tvergaard-Needleman model[J].Engineering Fracture Mechanics,2004,71(16):2365-2383.
【34】WYART E,COULON D,PARDOEN T,et al.Application of the substructured finite element/extended finite element method (s-FE/XFE)to the analysis of cracks in aircraft thin walled structures[J].Engineering Fracture Mechanics,2009,76(1):44-58.
【35】AINSWORTH R A.Assessment of the integrity of structure containing defect[M].R6-Revision 4.London:British Energy Generation Ltd.,2001.
【36】INSTITUTION B S.Guide on methods for assessing the acceptability of flaws in metallic structures[M].London:British Standards Institute,2000.
【37】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.
【38】BROCKS W,SCHWALBE K H,ZERBST U.Structural integrity assessment of thin-walled structures[J].Advanced Engineering Materials,2006,8(5):319-327.
【39】NEWMAN J C,DAWICKE D S,SESHADRI B R.Residual strength analyses of stiffened and un-stiffened panelsPart I:Laboratory specimens[J].Engineering Fracture Mechanics,2003,70(3):493-507.
【40】BARWELL C A,EBER L,FYFE I M.A study of failure in small pressurized cylindrical shells containing a crack[M].Langley:National Aeronautics and Space Administration,Langley Research Center,1998.
【41】CHEN C S,WAWRZYNEK P A,INGRAFFEA A R.Crack growth simulation and residual strength prediction in airplane fuselages[R]∥NASA Report.1999:209115.
【42】BROCKS W,SCHEIDER I,SCHDEL M.Simulation of crack extension in shell structures and prediction of residual strength[J].Archive of Applied Mechanics,2006,76(11/12):655-665.
【43】ROY Y A,DODDS JR R H.Simulation of ductile crack growth in thin aluminum panels using 3-D surface cohesive elements[J].International Journal of Fracture,2001,110(1):21-45.
【44】WINDISCH M,SUN D Z,MEMHARD D,et al.Defect tolerance assessment of Ariane 5 structures on the basis of damage mechanics material modelling[J].Engineering Fracture Mechanics,2009,76(1):59-73
【45】SCHIJVE J.Multiple-site damage in aircraft fuselage structures[J].Fatigue & Fracture of Engineering Materials & Structures,1995,18(3):329-344.
【46】LIAO M,SHI G,XIONG Y.Analytical methodology for predicting fatigue life distribution of fuselage splices[J].International Journal of Fatigue,2001,23:177-185.
【47】HARRIS C E,NEWMAN J C,PIASCIK R S,et al.Analytical methodology for predicting widespread fatigue damage onset in fuselage structure[J].Journal of Aircraft,1998,35(2):307-317.
【48】DEWIT R,FIELDS R J,LOW III S R,et al.Fracture testing of large-scale thin-sheet aluminum alloy[J].NASA STI/Recon Technical Report N,1995,96:11671.
【49】SMITH B L,SAVILLE P A,MOUAK A,et al.Strength of 2024-T3 aluminum panels with multiple site damage[J].Journal of Aircraft,2000,37(2):325-331.
【50】DE WIT R,FIELDS R J,MORDFIN L,et al.Fracture behavior of large-scale thin-sheet aluminum alloy[R]∥HAMPTONV A.Proceedings of the FAA/NASA International Symosium Advanced Structural Integrity Methods for Airframe Durability and Damage Tolerance.[S.l.]:NASA Conference Publication,1994.
【51】HOEVE H J,GROOTEMAN F P,DE KONING A U.Analysis of residual strength of stiffened panels with multiple site damage[M].[S.l.]:National Aerospace Laboratory,2001.
【52】HSU C,LO J,YU J,et al.Residual strength analysis using CTOA criteria for fuselage structures containing multiple site damage[J].Engineering Fracture Mechanics,2003,70(3):525-545.
【53】FARAHMAND B.Fracture mechanics of metals,composites,welds,and bolted joints:Application of LEFM,EPFM,and FMDM theory[M].[S.l.]:Springer Science & Business Media,2001.
【54】KOCAK M,WEBSTER S,JANOSCH J J,et al.FITNET fitness-for-service procedure final draft MK7[M].[S.l.]:European Fitness-for-Service Thematic Network-FITNET,2006.
【55】HIGGINS A.Adhesive bonding of aircraft structures[J].International Journal of Adhesion and Adhesives,2000,20(5):367-376.
【56】SCHIJVE J.Crack stoppers and ARALL laminates[J].Engineering Fracture Mechanics,1990,37(2):405-421.
【57】SCHMIDT H J,SCHMIDT-BRANDECKER B.Damage tolerant design and analysis of current and future aircraft structure[C]//AIAA/ICAS International Air and Space Symposium and Exposition,2003:100.
【58】ROSE L R F.A cracked plate repaired by bonded reinforcements[J].International Journal of Fracture,1982,18(2):135-144.
【59】BAKER A A.Crack patching:Experimental studies,practical applications[M]//Bonded Repair of Aircraft Structures.[S.l.]:Springer Netherlands,1988:107-173.
【60】VALOROSO N,CHAMPANEY L.A damage-mechanics-based approach for modelling decohesion in adhesively bonded assemblies[J].Engineering Fracture Mechanics,2006,73(18):2774-2801.
【61】CARLBERGER T,STIGH U.An explicit FE-model of impact fracture in an adhesive joint[J].Engineering fracture mechanics,2007,74(14):2247-2262.
【62】JENSEN H M.Interface fracture in adhesively bonded shell structures[J].Engineering Fracture Mechanics,2008,75(3):571-578.
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