ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Impact similarity law of elastic composite laminate based on ODLV oriented dimension
Received date: 2025-05-30
Revised date: 2025-06-24
Accepted date: 2025-07-15
Online published: 2025-08-12
Supported by
National Natural Science Foundation of China(12272320)
Using scaled model experiments to predict the response of full-scale engineering structures under impact loads has the advantages of being economical, efficient, and feasible. As lightweight, high strength composite materials are widely used in large-scale aerospace structures, the study of the impact similitude theory and scaling methods for composite materials is becoming increasingly important. For the similarity scaling problem of elastic laminate under impact response, conventional scaling methods usually fail to work effectively due to the strict requirements imposed by geometric scaling factors and laminate ply orientation matching. This article combines the ODLV directional dimension impact similarity law system with elastic laminate constitutive equation, derives the impact similarity law of elastic laminates, and obtains laminate stiffness coefficient scaling factors which are described by the directional dimension. Based on the similitude relationship, a similitude distortion modified method is proposed. This method adjusts the ply angles of scaled models to achieve stiffness compatibility and modifies the impact velocity to achieve similarity in the elastic laminated plate impact response. It overcomes the scaling constraints inherent in traditional methods and can effectively address both material distortion and width distortion problems. Simulation results show that the scaled models have good similarity with the prototype structure in displacement, impact force, and impact energy response, which suggests that the designed scaled model under the instruction of the laminate impact similarity scaling method proposed in this article can effectively predict the impact dynamic response of the prototype structure.
Yichen WANG , Fei XU , Xinzhe CHANG , Zhaohui CHENG , Wei FENG . Impact similarity law of elastic composite laminate based on ODLV oriented dimension[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2026 , 47(3) : 232341 -232341 . DOI: 10.7427/S1000-6893.2025.32341
| [1] | LIU X C, BAI C Y, XI X L, et al. Impact response and crashworthy design of composite fuselage structures: An overview[J]. Progress in Aerospace Sciences, 2024, 148: 101002. |
| [2] | 索涛, 李玉龙. 基于积木式方法的飞机结构抗鸟撞设计[J]. 航空学报, 2025, 46(5): 531524. |
| SUO T, LI Y L. Anti-bird impact design of aircraft structure via bulding block approach[J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(5): 531524 (in Chinese). | |
| [3] | XI X L, LIU X C, BAI C Y, et al. Full-scale impact test and high-fidelity numerical simulation of typical civil transport aircraft[J]. Thin-Walled Structures, 2025, 212: 113147. |
| [4] | 刘小川, 惠旭龙, 张欣玥, 等. 典型民用飞机全机坠撞实验研究[J]. 航空学报, 2024, 45(5): 529664. |
| LIU X C, XI X L, ZHANG X Y, et al. Full-scale crash experimental study of typical civil aircraft[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(5): 529664 (in Chinese). | |
| [5] | 惠旭龙, 刘小川, 白春玉, 等. 民机机身框段和全机坠撞响应对比[J]. 航空学报, 2025, 46(15): 231597. |
| XI X L, LIU X C, BAI C Y, et al. Comparison of crash response between fuselage section and full-scale civil aircraft[J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(15): 231597 (in Chinese). | |
| [6] | CONG P L, ZHOU H Y. Scaling global and local responses of RC structural members subjected to near-field blast loading[J]. International Journal of Impact Engineering, 2025, 203: 105334. |
| [7] | CHANG X Z, XU F, CANTWELL W J, et al. Geometric and material distortion similarity laws for the low-velocity impact response of stiffened plates considering elastic effects[J]. International Journal of Impact Engineering, 2025, 199: 105237. |
| [8] | XIONG Z H, ZHAO C Y, MENG Y, et al. A damage model based on Tsai-Wu criterion and size effect investigation of pultruded GFRP[J]. Mechanics of Advanced Materials and Structures, 2024, 31(3): 571-585. |
| [9] | YE J H, YU J T, YU J, et al. Tensile size effect of engineered cementitious composites (ECC): Experimental and theoretical investigations[J]. Construction and Building Materials, 2023, 402: 133053. |
| [10] | BAI Y, WEI H T, GU J H, et al. Size-dependent mechanical behaviors of 3D woven composite under high strain-rate compression loads[J]. Polymer Testing, 2023, 127: 108176. |
| [11] | SIDDIQUI M T, KESHAVANARAYANA S R. Scaling effects on the strain rate sensitivity of unidirectional and [+45 /-45]s laminates under tensile loading[J]. Journal of Reinforced Plastics and Composites, 2024, 43(17-18): 1052-1066. |
| [12] | ALI H Q, KHAN R M A, TABRIZI I E, et al. An experimental multi-instrumental approach to understand the size effect on the damage propagation of plain-woven CFRP composites under shear loading[J]. Journal of Composite Materials, 2023, 57(5): 955-966. |
| [13] | 杨磊峰, 常新哲, 徐绯, 等. 受轴向冲击薄壁圆管的几何畸变相似律研究[J]. 爆炸与冲击, 2022, 42(5): 102-113. |
| YANG L F, CHANG X Z, XU F, et al. Study on the scaling law of geometrically-distorted thin-walled cylindrical shells subjected to axial impact[J]. Explosion and Shock Waves, 2022, 42(5): 102-113 (in Chinese). | |
| [14] | 秦健, 张振华. 原型和模型不同材料时加筋板冲击动态响应的相似预报方法[J]. 爆炸与冲击, 2010, 30(5): 511-516. |
| QIN J, ZHANG Z H. A scaling method for predicting dynamic responses of stiffened plates made of materials different from experimental models[J]. Explosion and Shock Waves, 2010, 30(5): 511-516 (in Chinese). | |
| [15] | 李肖成, 徐绯, 杨磊峰, 等. 薄板在冲击载荷下线弹性理想塑性响应的相似性研究[J]. 爆炸与冲击, 2021, 41(11): 70-81. |
| LI X C, XU F, YANG L F, et al. Study on the similarity of elasticity and ideal plasticity response of thin plate under impact loading[J]. Explosion and Shock Waves, 2021, 41(11): 70-81 (in Chinese). | |
| [16] | MORTON J. Scaling of impact-loaded carbon-fiber composites[J]. AIAA Journal, 1988, 26(8): 989-994. |
| [17] | CARRILLO J G, CANTWELL W J. A comparison of ply-level and sublaminate-level scaling offibre-metallaminates with in-plane dimensions[J]. Advanced Composites Letters, 2007, 16(6): 096369350701600604. |
| [18] | PINTADO P, MORTON J. On the scaling of impact loaded composite beams[J]. Composite Structures, 1994, 27(4): 357-365. |
| [19] | JACKSON K E, KELLAS S. Sub-ply level scaling approach investigated for graphite-epoxy composite beam columns[C]∥Proceedings of the workshop on sc-aling effects in composite materials and structures. 1994. |
| [20] | CASABURO A, PETRONE G, FRANCO F, et al. A review of similitude methods for structural engineering[J]. Applied Mechanics Reviews, 2019, 71(3): 030802. |
| [21] | MAZZARIOL L M, OSHIRO R E, ALVES M. A method to represent impacted structures using scaled models made of different materials[J]. International Journal of Impact Engineering, 2016, 90: 81-94. |
| [22] | MAZZARIOL L M, ALVES M. Similarity laws of structures under impact load: Geometric and material distortion[J]. International Journal of Mechanical Sciences, 2019, 157: 633-647. |
| [23] | WANG S, XU F, DAI Z. Suggestion of the DLV dimensionless number system to represent the scaled behavior of structures under impact loads[J]. Archive of Applied Mechanics, 2020, 90(4): 707-719. |
| [24] | WANG S, XU F, ZHANG X Y, et al. A directional framework of similarity laws for geometrically distorted structures subjected to impact loads[J]. International Journal of Impact Engineering, 2022, 161: 104092. |
| [25] | WANG S, CHANG X Z, XU F, et al. Similarity laws of geometric and material distortion for anisotropic elastic plate subjected to impact loads[J]. International Journal of Impact Engineering, 2023, 180: 104683. |
| [26] | QIAN Y, SWANSON S R, NUISMER R J, et al. An experimental study of scaling rules for impact damage in fiber composites[J]. Journal of Composite Materials, 1990, 24(5): 559-570. |
| [27] | 陈亚军, 于哲峰, 汪海. 复合材料层压板低速冲击响应比例效应数值模拟研究[J]. 固体力学学报, 2012, 33(6): 574-582. |
| CHEN Y J, YU Z F, WANG H. Numerical modeling of scale effects on the responses of laminated composite plate under low velocity impact[J]. Chinese Journal of Solid Mechanics, 2012, 33(6): 574-582 (in Chinese). | |
| [28] | SWANSON S R, SMITH N L, QIAN Y. Analytical and experimental strain response in impact of composite cylinders[J]. Composite Structures, 1991, 18(2): 95-108. |
| [29] | VIOT P, BALLèRE L, GUILLAUMAT L, et al. Scale effects on the response of composite structures under impact loading[J]. Engineering Fracture Mechanics, 2008, 75(9): 2725-2736. |
| [30] | 矫桂琼, 贾普荣. 复合材料力学[M]. 西安: 西北工业大学出版社, 2008. |
| JIAO G Q, JIA P R. Mechanics of composite materials[M]. Xi’ an: Northwestern Polytechnical University Press, 2008 (in Chinese). | |
| [31] | REDDY J N. Mechanics of laminated composite plates and shells: Theory and analysis, Second Edition[M]. 2nd Edition. Boca Raton: CRC Press, 2003. |
| [32] | YOU C, YASAEE M, DAYYANI I. Structural similitude design for a scaled composite wing box based on optimised stacking sequence[J]. Composite Structures, 2019, 226: 111255. |
| [33] | SCHIFFER A, CANTWELL W J, TAGARIELLI V L. An analytical model of the dynamic response of circular composite plates to high-velocity impact[J]. International Journal of Impact Engineering, 2015, 85: 67-82. |
| [34] | ZHANG J K, ZHANG X. An efficient approach for predicting low-velocity impact force and damage in composite laminates[J]. Composite Structures, 2015, 130: 85-94. |
| [35] | LIU J H, XU Y X, YI X B, et al. Experimental and numerical simulation study on Near-edge/On-edge Low-Velocity impact and residual compressive strength of T300/69 laminates[J]. Composite Structures, 2022, 280: 114887. |
/
| 〈 |
|
〉 |