Citation: | ZHANG Taotao, YANG Yuxin, ZHANG Erhan, et al. Artificial neural network-based mapping of microscopic damage to macroscopic stiffness in solid propellants[J]. Acta Materiae Compositae Sinica, 2024, 41(9): 4693-4705. doi: 10.13801/j.cnki.fhclxb.20240423.003 |
[1] |
XING R S, WANG L, ZHANG F T, et al. Mechanical behavior and constitutive model of NEPE solid propellant in finite deformation[J]. Mechanics of Materials, 2022, 172: 104383. doi: 10.1016/j.mechmat.2022.104383
|
[2] |
侯晓, 张旭, 刘向阳, 等. 固体火箭发动机药柱结构完整性研究进展[J]. 宇航学报, 2023, 44(4): 566-579. doi: 10.3873/j.issn.1000-1328.2023.04.011
HOU Xiao, ZHANG Xu, LIU Xiangyang, et al. Progress of structural integrity of solid rocket motor pillars[J]. Journal of Astronautics, 2023, 44(4): 566-579(in Chinese). doi: 10.3873/j.issn.1000-1328.2023.04.011
|
[3] |
武晓松, 陈军, 王栋. 固体火箭发动机原理[M]. 北京: 兵器工业出版社, 2010.
WU Xiaosong, CHEN Jun, WANG Dong. Principles of solid rocket engine [M]. Beijing: Arms Industry Press, 2010(in Chinese).
|
[4] |
强洪夫, 王稼祥, 王哲君, 等. 复合固体推进剂强度、损伤与断裂失效研究进展[J]. 推进技术, 2023, 46(7): 561-588.
QIANG Hongfu, WANG Jiaxiang, WANG Zhejun, et al. Advances in strength, damage and fracture failure of composite solid propellants[J]. Propulsion Technology, 2023, 46(7): 561-588(in Chinese).
|
[5] |
杜善义, 王彪. 复合材料细观力学[M]. 北京: 科学出版社, 1998.
DU Shanyi, WANG Biao. Fine mechanics of composite materials [M]. Beijing: Science Press, 1998(in Chinese).
|
[6] |
ESHELBY J D. The determination of the elastic field of an ellipsoidal inclusion, and related problems[J]. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 1957, 241(1226): 376-396. doi: 10.1098/rspa.1957.0133
|
[7] |
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): 2-15. doi: 10.1115/1.3443401
|
[8] |
DUAN H L, WANG J, HUANG Z P, et al. Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress[J]. Journal of the Mechanics and Physics of Solids, 2005, 53(7): 1574-1596. doi: 10.1016/j.jmps.2005.02.009
|
[9] |
SHEN W Q, ZHANG J, SHAO J F, et al. Approximate macroscopic yield criteria for Drucker-Prager type solids with spheroidal voids[J]. International Journal of Plasticity, 2017, 99: 221-247. doi: 10.1016/j.ijplas.2017.09.008
|
[10] |
WUBULIAISAN M, WU Y Q, HOU X, et al. Multiscale viscoelastic constitutive modeling of solid propellants subjected to large deformation[J]. International Journal of Solids and Structures, 2023, 262: 112084.
|
[11] |
CANGA M E, BECKER E B, ÖZÜPEK Ş. Constitutive modeling of viscoelastic materials with damage–computational aspects[J]. Computer Methods in Applied Mechanics and Engineering, 2001, 190(15-17): 2207-2226. doi: 10.1016/S0045-7825(00)00231-0
|
[12] |
XU F, ARAVAS N, SOFRONIS P. Constitutive modeling of solid propellant materials with evolving microstructural damage[J]. Journal of the Mechanics and Physics of Solids, 2008, 56(5): 2050-2073. doi: 10.1016/j.jmps.2007.10.013
|
[13] |
LEI M, WANG J J, CHENG J M, et al. A constitutive model of the solid propellants considering the interface strength and dewetting[J]. Composites Science and Technology, 2020, 185(1): 107893.
|
[14] |
LI Z, LEI M, KOU Q Q, et al. A multiscale viscoelastic constitutive model of unidirectional carbon fiber reinforced PEEK over a wide temperature range[J]. Composite Structures, 2023, 321: 117258. doi: 10.1016/j.compstruct.2023.117258
|
[15] |
KARNIADAKIS G E, KEVREKIDIS I G, LU L, et al. Physics-informed machine learning[J]. Nature Reviews Physics, 2021, 3(6): 422-440. doi: 10.1038/s42254-021-00314-5
|
[16] |
HERNÁNDEZ Q, BADÍAS A, CHINESTA F, et al. Thermodynamics-informed neural networks for physically realistic mixed reality[J]. Computer Methods in Applied Mechanics and Engineering, 2023, 407: 115912. doi: 10.1016/j.cma.2023.115912
|
[17] |
REZAEI S, HARANDI A, MOEINEDDIN A, et al. A mixed formulation for physics-informed neural networks as a potential solver for engineering problems in heterogeneous domains: Comparison with finite element method[J]. Computer Methods in Applied Mechanics and Engineering, 2022, 401, Part B, 115616.
|
[18] |
BRODNIK N R, MUIR C, TULSHIBAGWALE N, et al. Perspective: Machine learning in experimental solid mechanics[J]. Journal of the Mechanics and Physics of Solids, 2023, 173: 105231. doi: 10.1016/j.jmps.2023.105231
|
[19] |
BAI J H, LIU G R, GUPTA A, et al. Physics-informed radial basis network (PIRBN): A local approximating neural network for solving nonlinear partial differential equations[J]. Computer Methods in Applied Mechanics and Engineering, 2023, 451: 116290.
|
[20] |
LINKA K, KUHL E. A new family of Constitutive Artificial Neural Networks towards automated model discovery[J]. Computer Methods in Applied Mechanics and Engineering, 2023, 403: 115731. doi: 10.1016/j.cma.2022.115731
|
[21] |
MARINO E, FLASCHEL M, KUMAR S, et al. Automated identification of linear viscoelastic constitutive laws with EUCLID[J]. Mechanics of Materials, 2023, 181: 181104643.
|
[22] |
WUBULIAISAN M, WU Y, HOU X. A unified viscoelastic model of progressive damage and failure for solid propellants[J]. International Journal of Plasticity, 2023, 170: 103765. doi: 10.1016/j.ijplas.2023.103765
|
[23] |
LEI M, CHEN E H, ZHAO Z, et al. A temperature/strain-rate dependent finite deformation constitutive and failure model of solid propellants[J]. Science China Physics, Mechanics & Astronomy, 2023, 66(9): 294611.
|
[24] |
赵亚溥. 近代连续介质力学[M] . 北京: 科学出版社, 2016.
ZHAO Yapu. Modern mechanics of continuous media[M]. Beijing: Science Press, 2016(in Chinese).
|
[25] |
COLEMAN B D, GURTIN M E. Thermodynamics with internal state variables[J]. The Journal of Chemical Physics, 1967, 47(2): 597-613. doi: 10.1063/1.1711937
|
[26] |
HOLZAPFEL G A. Nonlinear solid mechanics[M]. Wiley publisher, 2000.
|
[27] |
KACHANOV L M. On time to rupture in creep conditions (in Russian) Izviestia Akademii Nauk SSSR[J]. Otdelenie Tekhnicheskikh Nauk, 1958, 8: 26-31.
|
[28] |
MURAKAMI S. Continnum damage mechanics[M]. Springer, 2012.
|
[29] |
LEMAITRE J. A continuous damage mechanics model for ductile fracture[J]. Journal of Engineering Materials and Technology, 1985, 107: 83-89. doi: 10.1115/1.3225775
|
[30] |
MURAKAMI S. Mechanical modeling of material damage[J]. ASME Journal of Applied Mechanics, 1988, 55: 280-286. doi: 10.1115/1.3173673
|
[31] |
HUR J, PARK J B, JUNG G D, et al. Enhancements on a micromechanical constitutive model of solid propellant[J]. International Journal of Solids and Structures, 2016, 87: 110-119.
|
[32] |
RIVLIN R S, SAUNDERS D W. Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber[J]. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1951, 243: 251-288.
|
[33] |
LEI M, HAMEL C M, YUAN C, et al. 3D printed two-dimensional periodic structures with tailored in-plane dynamic responses and fracture behaviors[J]. Composites Science and Technology, 2018, 159: 189-198. doi: 10.1016/j.compscitech.2018.02.024
|
[34] |
CAI C, WANG B, YIN W L, et al. A new algorithm to generate non-uniformly dispersed representative volume elements of composite materials with high volume fractions[J]. Materials & Design, 2022, 219: 110750.
|
[35] |
BALL J M. Convexity conditions and existence theorems in nonlinear elasticity[J]. Archive for Rational Mechanics and Analysis, 1977, 63: 337-403.
|
[36] |
HARTMANN S, NEFF P. Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility[J]. Solids Struct, 2003, 40: 2767-2791. doi: 10.1016/S0020-7683(03)00086-6
|
[37] |
PAN H, YANG J, SHI Y, et al. BP neural network application model of predicting the apple hardness[J]. Journal of Computational and Theoretical Nanoscience, 2015, 12(9): 2802-2807. doi: 10.1166/jctn.2015.4180
|
[38] |
SAID B E L. Predicting the non-linear response of composite materials using deep recurrent convolutional neural networks[J]. International Journal of Solids and Structures, 2023, 276: 112334. doi: 10.1016/j.ijsolstr.2023.112334
|
[39] |
MOONEY M. A theory of large elastic deformations[J]. Journal of Applied Physics, 1940, 11(9): 582-592. doi: 10.1063/1.1712836
|