收稿日期:2024-12-24
修回日期:2025-01-17
接受日期:2025-02-19
出版日期:2025-03-11
发布日期:2025-02-25
通讯作者:
张显程
E-mail:xczhang@ecust.edu.cn
基金资助:
Kaishang LI, Haoqi FAN, Runzi WANG, Xiancheng ZHANG(
), Shantung TU
Received:2024-12-24
Revised:2025-01-17
Accepted:2025-02-19
Online:2025-03-11
Published:2025-02-25
Contact:
Xiancheng ZHANG
E-mail:xczhang@ecust.edu.cn
Supported by:摘要:
高温结构的长寿命安全运行与严苛服役环境之间的矛盾日益突出,蠕变-疲劳交互损伤日渐凸显导致航空发动机高温部件故障率居高不下。此外,在碳中和背景下对发电机组深度调峰的迫切需求,使得火电、燃机等高温关重件同样面临着缺乏精准的寿命评估方法的问题。基于单一尺度或单一参量的寿命设计方法无法同时考虑高温结构宏观多轴应力效应和微观组织演化历程,尤其对于微观组织不均匀的高温结构。因此,系统介绍了基于宏观连续介质—微观晶体塑性的双尺度建模方法,以含孔结构为例介绍了基于双尺度损伤理论的寿命预测方法,为了服务于双尺度理论体系的工程化应用,开发了一套考虑材料表面强化效应的蠕变-疲劳寿命预测软件,以实现表面强化高温结构的快速损伤评定及寿命预测。
中图分类号:
李凯尚, 范浩奇, 王润梓, 张显程, 涂善东. 基于双尺度损伤理论的高温装备寿命设计方法[J]. 航空学报, 2025, 46(5): 531706.
Kaishang LI, Haoqi FAN, Runzi WANG, Xiancheng ZHANG, Shantung TU. Life design method of high-temperature equipment based on dual-scale damage theory[J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(5): 531706.
| 1 | 陈波, 李付国, 何敏. 延性金属材料损伤变量的实验表征方法研究[J]. 稀有金属材料与工程, 2011, 40(11): 2022-2025. |
| CHEN B, LI F G, HE M. Experimental characterization of damage variables of ductile metal[J]. Rare Metal Materials and Engineering, 2011, 40(11): 2022-2025 (in Chinese). | |
| 2 | SUN L, ZHANG X C, WANG R Z, et al. Evaluation of fatigue and creep-fatigue damage levels on the basis of engineering damage mechanics approach[J]. International Journal of Fatigue, 2023, 166: 107277. |
| 3 | 涂善东, 王正东, 陈建钧, 等. 基于结构弱点分析的高温构件延寿修复技术[J]. 压力容器, 2004, 21(9): 1-8. |
| TU S D, WANG Z D, CHEN J J, et al. Structural weakness spotting for life extension repair of high temperature components[J]. Pressure Vessel Technology, 2004, 21(9): 1-8 (in Chinese). | |
| 4 | JU Y B, KOYAMA M, SAWAGUCHI T, et al. Effects of ε-martensitic transformation on crack tip deformation, plastic damage accumulation, and slip plane cracking associated with low-cycle fatigue crack growth[J]. International Journal of Fatigue, 2017, 103: 533-545. |
| 5 | LONG X, CHONG K N, SU Y T, et al. Meso-scale low-cycle fatigue damage of polycrystalline nickel-based alloy by crystal plasticity finite element method[J]. International Journal of Fatigue, 2023, 175: 107778. |
| 6 | 孙李刚, 凌超, 陈浩, 等. 结构完整性分析中的多尺度力学方法[J]. 机械工程学报, 2021, 57(16): 106-121. |
| SUN L G, LING C, CHEN H, et al. Application of multiscale mechanics methods in structural integrity analysis[J]. Journal of Mechanical Engineering, 2021, 57(16): 106-121 (in Chinese). | |
| 7 | BRIFFOD F, SHIRAIWA T, ENOKI M. Microstructure modeling and crystal plasticity simulations for the evaluation of fatigue crack initiation in α-iron specimen including an elliptic defect[J]. Materials Science and Engineering: A, 2017, 695: 165-177. |
| 8 | DONG Y W, ZHU Y L, WU F H, et al. A dual-scale elasto-viscoplastic constitutive model of metallic materials to describe thermo-mechanically coupled monotonic and cyclic deformations[J]. International Journal of Mechanical Sciences, 2022, 224: 107332. |
| 9 | MCDOWELL D L, DUNNE F P E. Microstructure-sensitive computational modeling of fatigue crack formation[J]. International Journal of Fatigue, 2010, 32(9): 1521-1542. |
| 10 | SAJURI Z BIN, MIYASHITA Y, HOSOKAI Y, et al. Effects of Mn content and texture on fatigue properties of as-cast and extruded AZ61 magnesium alloys[J]. International Journal of Mechanical Sciences, 2006, 48(2): 198-209. |
| 11 | ZHANG Y C, LI X L, YUAN S H, et al. High-cycle-fatigue properties of selective-laser-melted AlSi10Mg with multiple building directions[J]. International Journal of Mechanical Sciences, 2022, 224: 107336. |
| 12 | CHEN B, JIANG J, DUNNE F P E. Is stored energy density the primary meso-scale mechanistic driver for fatigue crack nucleation?[J]. International Journal of Plasticity, 2018, 101: 213-229. |
| 13 | ZHAO N L, WANG W Z, LIU Y Z. Intergranular mechanical behavior in a blade groove-like component by crystal plasticity model with cohesive zone model[J]. Engineering Fracture Mechanics, 2018, 201: 196-213. |
| 14 | TINGA T, BREKELMANS W A M, GEERS M G D. Application of a multiscale constitutive framework to real gas turbine components[J]. Advanced Materials Research, 2011, 278: 253-258. |
| 15 | WANG R Z, GU H H, ZHU S P, et al. A data-driven roadmap for creep-fatigue reliability assessment and its implementation in low-pressure turbine disk at elevated temperatures[J]. Reliability Engineering & System Safety, 2022, 225: 108523. |
| 16 | GU H H, WANG R Z, ZHU S P, et al. Machine learning assisted probabilistic creep-fatigue damage assessment[J]. International Journal of Fatigue, 2022, 156: 106677. |
| 17 | COFFIN L F, TAVERNELLI J F. The cyclic straining and fatigue of metals[J]. Transactions of the Metallurgical Society of AIME, 1959, 215(5): 794-807. |
| 18 | MANSON S S, DOLAN T J. Thermal stress and low cycle fatigue[J]. Journal of Applied Mechanics, 1966, 33(4): 957. |
| 19 | OSTERGREN W J. A damage function and associated failure equations for predicting hold time and frequency effects in elevated temperature, low cycle fatigue[J]. Journal of Testing and Evaluation, 1976, 4(5): 327-339. |
| 20 | CHABOCHE J L, LESNE P M. A non-linear continuous fatigue damage model[J]. Fatigue & Fracture of Engineering Materials & Structures, 1988, 11(1): 1-17. |
| 21 | SHANG D G, YAO W X. A nonlinear damage cumulative model for uniaxial fatigue[J]. International Journal of Fatigue, 1999, 21(2): 187-194. |
| 22 | NADERI M, KHONSARI M M. An experimental approach to low-cycle fatigue damage based on thermodynamic entropy[J]. International Journal of Solids and Structures, 2010, 47(6): 875-880. |
| 23 | KACHANOV L M. Rupture time under creep conditions[J]. International Journal of Fracture, 1999, 97(1): 11-18. |
| 24 | RABOTNOV Y, LECKIE FA, PRAGER W. Creep problems in structural members[J]. Journal of Applied Mechanics, 1970, 37(1): 249. |
| 25 | BETTEN J, SKLEPUS S, ZOLOCHEVSKY A. A creep damage model for initially isotropic materials with different properties in tension and compression[J]. Engineering Fracture Mechanics, 1998, 59(5): 623-641. |
| 26 | ZHANG L, LIU Y R, YANG Q. A creep model with damage based on internal variable theory and its fundamental properties[J]. Mechanics of Materials, 2014, 78: 44-55. |
| 27 | SOSNIN O V, GOREV B V, RUBANOV V V. Energy variant of theory of creep[J]. Strength of Materials, 1976, 8(11): 1261-1266. |
| 28 | 王润梓. 基于能量密度耗散准则的蠕变—疲劳寿命预测模型及应用[D]. 上海: 华东理工大学, 2019. |
| WANG R Z. Creep-fatigue life prediction model based on energy density dissipation criterion and its application[D]. Shanghai: East China University of Science and Technology, 2019 (in Chinese). | |
| 29 | WEN J F, TU S T, XUAN F Z, et al. Effects of stress level and stress state on creep ductility: Evaluation of different models[J]. Journal of Materials Science & Technology, 2016, 32(8): 695-704. |
| 30 | HALES R. The role of cavity growth mechanisms in determining creep-rupture under multiaxial stresses[J]. Fatigue & Fracture of Engineering Materials & Structures, 1994, 17(5): 579-591. |
| 31 | TAKAHASHI Y. Further evaluation of creep-fatigue life prediction methods for low-carbon nitrogen-added 316 stainless steel[J]. Journal of Pressure Vessel Technology, 1999, 121(2): 142-148. |
| 32 | WANG R Z, ZHANG X C, TU S T, et al. A modified strain energy density exhaustion model for creep-fatigue life prediction[J]. International Journal of Fatigue, 2016, 90: 12-22. |
| 33 | WANG R Z, ZHANG X C, GONG J G, et al. Creep-fatigue life prediction and interaction diagram in nickel-based GH4169 superalloy at 650 ℃ based on cycle-by-cycle concept[J]. International Journal of Fatigue, 2017, 97: 114-123. |
| 34 | WANG R Z, WANG J, GONG J G, et al. Creep-fatigue behaviors and life assessments in two nickel-based superalloys[J]. Journal of Pressure Vessel Technology, 2018, 140(3): 031405. |
| 35 | SANGID M D. The physics of fatigue crack initiation[J]. International Journal of Fatigue, 2013, 57: 58-72. |
| 36 | POLÁK J. Role of persistent slip bands and persistent slip markings in fatigue crack initiation in polycrystals[J]. Crystals, 2023, 13(2): 220. |
| 37 | LUKÁŠ P, KUNZ L. Role of persistent slip bands in fatigue[J]. Philosophical Magazine, 2004, 84(3-5): 317-330. |
| 38 | HSIUNG L M, STOLOFF N S. A point defect model for fatigue crack initiation in Ni3Al+B single crystals[J]. Acta Metallurgica et Materialia, 1990, 38(6): 1191-1200. |
| 39 | SANGID M D, MAIER H J, SEHITOGLU H. A physically based fatigue model for prediction of crack initiation from persistent slip bands in polycrystals[J]. Acta Materialia, 2011, 59(1): 328-341. |
| 40 | BENNETT V P, MCDOWELL D L. Polycrystal orientation distribution effects on microslip in high cycle fatigue[J]. International Journal of Fatigue, 2003, 25(1): 27-39. |
| 41 | HALLBERG H, SIGMUND KYRRE Å, SKALLERUD B. Crystal plasticity modeling of microstructure influence on fatigue crack initiation in extruded Al6082-T6 with surface irregularities[J]. International Journal of Fatigue, 2018, 111: 16-32. |
| 42 | GU T, STOPKA K S, XU C, et al. Prediction of maximum fatigue indicator parameters for duplex Ti-6Al-4V using extreme value theory[J]. Acta Materialia, 2020, 188: 504-516. |
| 43 | MCDOWELL D L. Microstructure-sensitive computational fatigue analysis[M]∥Handbook of Materials Modeling. Dordrecht: Springer Netherlands, 2005: 1193-1214. |
| 44 | MANONUKUL A, DUNNE F P E. High-and low-cycle fatigue crack initiation using polycrystal plasticity[J]. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 2004, 460(2047): 1881-1903. |
| 45 | CRUZADO A, LUCARINI S, LLORCA J, et al. Crystal plasticity simulation of the effect of grain size on the fatigue behavior of polycrystalline Inconel 718[J]. International Journal of Fatigue, 2018, 113: 236-245. |
| 46 | CRUZADO A, LUCARINI S, LLORCA J, et al. Microstructure-based fatigue life model of metallic alloys with bilinear Coffin-Manson behavior[J]. International Journal of Fatigue, 2018, 107: 40-48. |
| 47 | HULL D, RIMMER D E. The growth of grain-boundary voids under stress[J]. Philosophical Magazine, 1959, 4(42): 673-687. |
| 48 | ROODPOSHTI P S, SARKAR A, MURTY K L, et al. Grain boundary sliding mechanism during high temperature deformation of AZ31 Magnesium alloy[J]. Materials Science and Engineering: A, 2016, 669: 171-177. |
| 49 | NEEDLEMAN A, RICE J R. Plastic creep flow effects in the diffusive cavitation of grain boundaries[M]∥Perspectives in Creep Fracture. Amsterdam: Elsevier, 1983: 107-124. |
| 50 | NEEDLEMAN A, ASARO R J, LEMONDS J, et al. Finite element analysis of crystalline solids[J]. Computer Methods in Applied Mechanics and Engineering, 1985, 52(1-3): 689-708. |
| 51 | ZHANG W, WANG X, WANG Y Y, et al. Type Ⅳ failure in weldment of creep resistant ferritic alloys: Ⅱ. Creep fracture and lifetime prediction[J]. Journal of the Mechanics and Physics of Solids, 2020, 134: 103775. |
| 52 | NEEDHAM N G, GLADMAN T. Nucleation and growth of creep cavities in a Type 347 steel[J]. Metal Science, 1980, 14(2): 64-72. |
| 53 | WEN J F, SRIVASTAVA A, BENZERGA A, et al. Creep crack growth by grain boundary cavitation under monotonic and cyclic loading[J]. Journal of the Mechanics and Physics of Solids, 2017, 108: 68-84. |
| 54 | HOLDSWORTH S. Creep-fatigue failure diagnosis[J]. Materials, 2015, 8(11): 7757-7769. |
| 55 | QU S, AN X H, YANG H J, et al. Microstructural evolution and mechanical properties of Cu-Al alloys subjected to equal channel angular pressing[J]. Acta Materialia, 2009, 57(5): 1586-1601. |
| 56 | YANG X F, XI Y Z, HE C Y, et al. Chemical short-range order strengthening mechanism in CoCrNi medium-entropy alloy under nanoindentation[J]. Scripta Materialia, 2022, 209: 114364. |
| 57 | VENKATARAMAN A, SANGID M D. A crystal plasticity model with an atomistically informed description of grain boundary sliding for improved predictions of deformation fields[J]. Computational Materials Science, 2021, 197: 110589. |
| 58 | ZHAO Y L, SONG Q H, JI H S, et al. Multi-scale modeling method for polycrystalline materials considering grain boundary misorientation angle[J]. Materials & Design, 2022, 221: 110998. |
| 59 | LI D F, BARRETT R A, O’DONOGHUE P E, et al. A multi-scale crystal plasticity model for cyclic plasticity and low-cycle fatigue in a precipitate-strengthened steel at elevated temperature[J]. Journal of the Mechanics and Physics of Solids, 2017, 101: 44-62. |
| 60 | GOH C H, WALLACE J M, NEU R W, et al. Polycrystal plasticity simulations of fretting fatigue[J]. International Journal of Fatigue, 2001, 23: 423-435. |
| 61 | MUSINSKI W D, MCDOWELL D L. Microstructure-sensitive probabilistic modeling of HCF crack initiation and early crack growth in Ni-base superalloy IN100 notched components[J]. International Journal of Fatigue, 2012, 37: 41-53. |
| 62 | SHANGGUAN W B, LU Z H. Experimental study and simulation of a hydraulic engine mount with fully coupled fluid-structure interaction finite element analysis model[J]. Computers & Structures, 2004, 82(22): 1751-1771. |
| 63 | ZHU S P, LIU Q, PENG W W, et al. Computational-experimental approaches for fatigue reliability assessment of turbine bladed disks[J]. International Journal of Mechanical Sciences, 2018, 142: 502-517. |
| 64 | LI K S, WANG R Z, WANG J,et al. Investigation of creep-fatigue crack initiation by using an optimal dual-scale modelling approach[J].International Journal of Fatigue, 2023, 172: 107621. |
| 65 | MEADE E D, SUN F W, TIERNAN P, et al. A multiscale experimentally-based finite element model to predict microstructure and damage evolution in martensitic steels[J]. International Journal of Plasticity, 2021, 139: 102966. |
| 66 | MEADE E D, SUN F, TIERNAN P, et al. Experimental study and multiscale modelling of the high temperature deformation of tempered martensite under multiaxial loading[J]. Materials Science and Engineering: A, 2018, 737: 383-392. |
| 67 | JACOB A, MEHMANPARAST A. Sensitivity analysis of material microstructure effects on predicted crack paths using finite element simulations[J]. Journal of Multiscale Modelling, 2016, 7(2): 1650003. |
| 68 | OWOLABI G M, PRASANNAVENKATESAN R, MCDOWELL D L. Probabilistic framework for a microstructure-sensitive fatigue Notch factor[J]. International Journal of Fatigue, 2010, 32(8): 1378-1388. |
| 69 | ZHAO Q, ABDEL WAHAB M, LING Y, et al. Fatigue crack propagation within Al-Cu-Mg single crystals based on crystal plasticity and XFEM combined with cohesive zone model[J]. Materials & Design, 2021, 210: 110015. |
| 70 | HAN Q N, QIU W H, HE Z W, et al. The effect of crystal orientation on fretting fatigue crack formation in Ni-based single-crystal superalloys: SEM observation and crystal plasticity finite element simulation[J]. Tribology International, 2018, 125: 209-219. |
| 71 | SHANG X Q, ZHANG H M, CUI Z S, et al. A multiscale investigation into the effect of grain size on void evolution and ductile fracture: Experiments and crystal plasticity modeling[J]. International Journal of Plasticity, 2020, 125: 133-149. |
| 72 | ALABORT E, BARBA D, SULZER S, et al. Grain boundary properties of a nickel-based superalloy: Characterisation and modelling[J]. Acta Materialia, 2018, 151: 377-394. |
| 73 | PEI H Q, YANG Y Z, GU S N, et al. Study on oxidation-creep behavior of a Ni-based single crystal superalloy based on crystal plasticity theory[J]. Materials Science and Engineering: A, 2022, 839: 142834. |
| 74 | CARPINTERI A, PAGGI M. Asymptotic analysis in linear elasticity: From the pioneering studies by wieghardt and Irwin until today[J]. Engineering Fracture Mechanics, 2009, 76(12): 1771-1784. |
| 75 | YUAN G J, WANG R Z, GONG C Y, et al. Investigations of micro-Notch effect on small fatigue crack initiation behaviour in nickel-based alloy GH4169: Experiments and simulations[J]. International Journal of Fatigue, 2020, 136: 105578. |
| 76 | SUN F W, MEADE E D, O′DOWD N P. Microscale modelling of the deformation of a martensitic steel using the Voronoi tessellation method[J]. Journal of the Mechanics and Physics of Solids, 2018, 113: 35-55. |
| 77 | RUIZ C, NOAILLY J, LACROIX D. Material property discontinuities in intervertebral disc porohyperelastic finite element models generate numerical instabilities due to volumetric strain variations[J]. Journal of the Mechanical Behavior of Biomedical Materials, 2013, 26: 1-10. |
| 78 | BAUER S, LACKNER R. Gradient-based adaptive discontinuity layout optimization for the prediction of strength properties in matrix-inclusion materials[J]. International Journal of Solids and Structures, 2015, 63: 82-98. |
| 79 | SKELTON R P. The energy density exhaustion method for assessing the creep-fatigue lives of specimens and components[J]. Materials at High Temperatures, 2013, 30(3): 183-201. |
| 80 | WANG R Z, GUO S J, CHEN H F, et al. Multi-axial creep-fatigue life prediction considering history-dependent damage evolution: A new numerical procedure and experimental validation[J]. Journal of the Mechanics and Physics of Solids, 2019, 131: 313-336. |
| 81 | HUO J Z, SUN D B, WU H Y, et al. Multi-axis low-cycle creep/fatigue life prediction of high-pressure turbine blades based on a new critical plane damage parameter[J]. Engineering Failure Analysis, 2019, 106: 104159. |
| 82 | BENEDETTI M, BERTO F, LE BONE L, et al. A novel Strain-Energy-Density based fatigue criterion accounting for mean stress and plasticity effects on the medium-to-high-cycle uniaxial fatigue strength of plain and notched components[J]. International Journal of Fatigue, 2020, 133: 105397. |
| 83 | KIM T W, KANG D H, YEOM J T, et al. Continuum damage mechanics-based creep-fatigue-interacted life prediction of nickel-based superalloy at high temperature[J]. Scripta Materialia, 2007, 57(12): 1149-1152. |
| 84 | PARK S, JUNG J, CHO W, et al. Predictive dual-scale finite element simulation for hole expansion failure of ferrite-bainite steel[J]. International Journal of Plasticity, 2021, 136: 102900. |
| 85 | WANG R Z, ZHU S P, WANG J, et al. High temperature fatigue and creep-fatigue behaviors in a Ni-based superalloy: Damage mechanisms and life assessment[J]. International Journal of Fatigue, 2019, 118: 8-21. |
| 86 | HILL R, RICE J R. Constitutive analysis of elastic-plastic crystals at arbitrary strain[J]. Journal of the Mechanics and Physics of Solids, 1972, 20(6): 401-413. |
| 87 | ASARO R J, RICE J R. Strain localization in ductile single crystals[J]. Journal of the Mechanics and Physics of Solids, 1977, 25(5): 309-338. |
| 88 | YUAN G J, ZHANG X C, CHEN B, et al. Low-cycle fatigue life prediction of a polycrystalline nickel-base superalloy using crystal plasticity modelling approach[J]. Journal of Materials Science & Technology, 2020, 38: 28-38. |
| 89 | LI D F, GOLDEN B J, O’DOWD N P. Multiscale modelling of mechanical response in a martensitic steel: A micromechanical and length-scale-dependent framework for precipitate hardening[J]. Acta Materialia, 2014, 80: 445-456. |
| 90 | FOURNIER B, DALLE F, SAUZAY M, et al. Comparison of various 9-12% Cr steels under fatigue and creep-fatigue loadings at high temperature[J]. Materials Science and Engineering: A, 2011, 528(22-23): 6934-6945. |
| 91 | CARROLL L J, CABET C, CARROLL M C, et al. The development of microstructural damage during high temperature creep-fatigue of a nickel alloy[J]. International Journal of Fatigue, 2013, 47: 115-125. |
| 92 | ZHANG S L, XUAN F Z. Interaction of cyclic softening and stress relaxation of 9-12% Cr steel under strain-controlled fatigue-creep condition: Experimental and modeling[J]. International Journal of Plasticity, 2017, 98: 45-64. |
| 93 | FREDERICK C O, ARMSTRONG P J. A mathematical representation of the multiaxial Bauschinger effect[J]. Materials at High Temperatures, 2007, 24(1): 1-26. |
| 94 | ZHANG K S, JU J W, LI Z H, et al. Micromechanics based fatigue life prediction of a polycrystalline metal applying crystal plasticity[J]. Mechanics of Materials, 2015, 85: 16-37. |
| 95 | LI K S, CHENG L Y, XU Y L, et al. A dual-scale modelling approach for creep-fatigue crack initiation life prediction of holed structure in a nickel-based superalloy[J]. International Journal of Fatigue, 2022, 154: 106522. |
| 96 | RAMULU M, KUNAPORN S, JENKINS M, et al. Fatigue performance of high-pressure waterjet-peened aluminum alloy[J]. Journal of Pressure Vessel Technology, 2002, 124(1): 118-123. |
| 97 | SOYAMA H, PARK J D, SAKA M. Use of cavitating jet for introducing compressive residual stress[J]. Journal of Manufacturing Science and Engineering, 2000, 122(1): 83-89. |
| 98 | RAMULU M, KUNAPORN S, AROLA D, et al. Waterjet machining and peening of metals[J]. Journal of Pressure Vessel Technology, 2000, 122(1): 90-95. |
| 99 | YAO S L, LI W, WANG J S, et al. Surface strengthening in confined spaces: A novel deflecting abrasive waterjet peening for improving the surface integrity of nickel-based superalloys GH4169[J]. Journal of Manufacturing Processes, 2023, 85: 417-433. |
| 100 | LI K S, YAO S L, CHENG L Y, et al. Creep-fatigue life prediction of notched structure after an advanced surface strengthening treatment in a nickel-based superalloy at 650 ℃[J]. International Journal of Plasticity, 2024, 173: 103861. |
| 101 | LIN Y, PAN J, ZHOU H F, et al. Mechanical properties and optimal grain size distribution profile of gradient grained nickel[J]. Acta Materialia, 2018, 153: 279-289. |
| 102 | SHIELDS M D, ZHANG J X. The generalization of Latin hypercube sampling[J]. Reliability Engineering & System Safety, 2016, 148: 96-108. |
| 103 | MCCLELLAND J L, RUMELHART D E. Explorations in parallel distributed processing:A handbook of models, programs and exercise[M]. Cambridge: The MIT Press, 1989:121-153. |
| 104 | CORTES C, VAPNIK V. Support-vector networks[J]. Machine Learning, 1995, 20(3): 273-297. |
| [1] | 华志广, 潘诗媛, 赵冬冬, 李祥隆, 窦满峰. 基于分解优化并行ESN的氢燃料电池寿命预测[J]. 航空学报, 2025, 46(2): 330696-330696. |
| [2] | 姜璐璐, 潘鑫, 蒋伟, 冯瑞, 陈刚. 基于融合代理策略的超声速降落伞气动优化设计[J]. 航空学报, 2025, 46(1): 630471-630471. |
| [3] | 崔壮壮, 原昕, 赵国庆, 井思梦, 招启军. 共轴刚性旋翼高速直升机前飞性能操纵策略影响[J]. 航空学报, 2024, 45(9): 529256-529256. |
| [4] | 柳家齐, 陈荣钱, 楼锦华, 韩旭, 吴昊, 尤延铖. 基于深度学习的高速直升机旋翼翼型气动优化设计[J]. 航空学报, 2024, 45(9): 529828-529828. |
| [5] | 高同州, 贺小帆, 王晓雷, 李紫光, 朱振涛, 詹志新. 基于CDM理论与SVM模型的2014-T6铝合金疲劳寿命预测[J]. 航空学报, 2024, 45(7): 228952-228952. |
| [6] | 陈树生, 冯聪, 张兆康, 赵轲, 张新洋, 高正红. 基于全局/梯度优化方法的宽速域乘波-机翼布局气动设计[J]. 航空学报, 2024, 45(6): 629596-629596. |
| [7] | 李玉涵, 杨宝玉, 吴亦农, 张强, 唐晓. 卫星光机载荷热模型参数高效修正方法研究进展[J]. 航空学报, 2024, 45(6): 628814-628814. |
| [8] | 刘小勇, 王明福, 刘建文, 任鑫, 张轩. 超燃冲压发动机研究回顾与展望[J]. 航空学报, 2024, 45(5): 529878-529878. |
| [9] | 王为, 安伟刚, 宋笔锋, 杨文青. 仿信天翁变形翼动态滑翔获能特性[J]. 航空学报, 2024, 45(24): 630576-630576. |
| [10] | 刘明奇, 韩忠华, 杜涛, 许晨舟, 曾涵, 张科施, 宋文萍. 面向运载火箭栅格舵的最优操纵效率特征与宽速域气动优化设计方法[J]. 航空学报, 2024, 45(20): 129887-129887. |
| [11] | 郭振东, 李豪杰, 宋立明, 张华良, 尹钊. 基于自适应稀疏混沌多项式的鲁棒性优化方法[J]. 航空学报, 2024, 45(19): 630273-630273. |
| [12] | 田贵双, 王少萍, 石健, 陶模. 模型与数据混合驱动的IGBT寿命预测方法[J]. 航空学报, 2024, 45(15): 630173-630173. |
| [13] | 张永杰, 周静飘, 石磊, 李栋, 张彬乾. 基于PRSEUS结构的翼身融合民机中央机体球亏面框优化设计方法[J]. 航空学报, 2024, 45(12): 229331-229331. |
| [14] | 李天梅, 司小胜, 张建勋. 多源传感监测线性退化设备数模联动的剩余寿命预测方法[J]. 航空学报, 2023, 44(8): 227190-227190. |
| [15] | 赵欢, 高正红, 夏露. 基于新型多可信度代理模型的多目标优化方法[J]. 航空学报, 2023, 44(6): 126962-126962. |
| 阅读次数 | ||||||
|
全文 |
|
|||||
|
摘要 |
|
|||||
版权所有 © 航空学报编辑部
版权所有 © 2011航空学报杂志社
主管单位:中国科学技术协会 主办单位:中国航空学会 北京航空航天大学

