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石墨烯尺寸和分布对石墨烯/铝基复合材料裂纹扩展的影响
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江南大学江苏省食品先进制造装备与技术重点实验室, 无锡 214122
中国空气动力研究与发展中心, 绵阳 621000
计算流体力学国家实验室, 北京 100191
江苏省特种设备安全监督检验研究院, 国家石墨烯产品质量检验检测中心（江苏）214174
Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology, Jiangnan University, Wuxi 214122, China
Aerodynamics Research and Development Center, Mianyang 621000, China
National Laboratory for Computational Fluid Dynamics, Beijing 100191, China
National Graphene Products Quality Supervision and Inspection Center, Special Equipment Safety Supervision Inspenction Institute of Jiangsu Provicne, Wuxi 214174, China
Hu Z, Tong G, Lin D, Chen C, Guo H, Xu J, Zhou L 2016 Mater. Sci. Technol. 32 930
Kelchner C, Plimpton S, Hamilton J 2000 Phys. Rev. B 58 11085
图 1(a) Gr/Al复合材料的模型示意图; (b) 原子结构模型 (左侧为正视图, 右侧为剖视图)
Fig. 1.(a) Geometrical representation of the simulated Gr/Al composite; (b) atomistic configurations for modeling (front view on the left and section view on the right).
图 2石墨烯分布角度分别为 (a) θ = 0º, (b) θ = 45º和(c) θ = 90º的Gr/Al复合材料模型
Fig. 2.Model of the Gr/Al composites with graphene orientations of (a) θ = 0º, (b) θ = 45º and (c) θ = 90º.
图 5(a) 不同长度石墨烯Gr/Al复合材料的裂纹长度-应变曲线; (b) Gr/Al 复合材料的裂纹比随石墨烯嵌入长度的变化 (插图中A-Gr/Al和B-Gr/Al分别为A-Gr/Al-2和B-Gr/Al-2模型在20%时原子结构图)
Fig. 5.(a) Crack length-strain curves of Gr/Al composites with different Gr length; (b) relationship between the crack ratio of Gr/Al composites with different length of graphene (In the inset, A-Gr/Al and B-Gr/Al are atomic structure diagrams of A-Gr/Al-2 and B-Gr/Al-2 models at 20%, respectively).
图 6A-Gr/Al-2的裂纹扩展 (a) 应力-应变曲线; (b) 位错密度-应变曲线; (c) a1—a4的σy瞬时应力分布图; (d) 位错线分布图
Fig. 6.Evolution of A-Gr/Al-2 crack growth: (a) Stress-strain curve; (b) dislocation density-strain curve; (c) instantaneous stress distribution of σy for a1–a4; (d) distributions of dislocation lines.
图 7B-Gr/Al-2的裂纹扩展运动 (a) 应力-应变曲线; (b) 位错密度-应变曲线; (c) b1—b4的瞬时σy应力图; (d) 位错线分布
Fig. 7.Evolution of B-Gr/Al-2 crack growth behavior: (a) Stress-strain curve; (b) dislocation density-strain curve; (c) σy distribution of b1 to b4; (d) distributions of dislocation lines.
图 8(a) A-Gr/Al-2复合材料在δ为1.72—4.96 nm范围内的裂纹长度-应变曲线; (b) δ为2.53 nm的A-Gr/Al-2复合材料位错密度的演化
Fig. 8.(a) Crack propagation in the δ range of 1.72—4.96 nm for A-Gr/Al-2 composites; (b) dislocation density evolution in the δ = 2.53 nm for A-Gr/Al-2 composite.
图 9(a) B-Gr/Al-1复合材料在δ为1.72—4.96 nm范围内的裂纹长度-应变曲线; (b) δ为3.34 nm的B-Gr/Al-1复合材料位错密度的演化; (c), (d) 对应的d2和d3原子结构图
Fig. 9.(a) Crack propagation in the δ range of 1.72—4.96 nm for B-Gr/Al-1; (b) dislocation density evolution in the δ = 3.34 nm for B-Gr/Al-1 composite; (c), (d) corresponding to d2 and d3 atomic structure.
图 10石墨烯尺寸为1.49 nm的Gr/Al复合材料的裂纹扩展 (a) θ = 0º; (b) θ = 45º; (c) θ = 905
Fig. 10.Crack propagation of Gr/Al composite with graphene length of 1.49 nm: (a) θ = 0º; (b) θ = 45º; (c) θ = 90º.
图 11石墨烯尺寸为5.43 nm的Gr/Al复合材料的裂纹扩展 (a) θ = 0º; (b) θ = 45º; (c) θ = 90º
Fig. 11.Crack propagation of Gr/Al composite with graphene length of 5.43 nm: (a) θ= 0º; (b) θ= 45º; (c) θ= 90º.
图 12(a) 石墨烯尺寸为1.49 和5.43 nm的Gr/Al复合材料的裂纹比-分布角度曲线图; (b) 不同分布角度Gr/Al的裂纹扩展路径
Fig. 12.(a) Crack ratio-direction angle curves of Gr/Al composites with graphene lengths of 1.49 and 5.43 nm; (b) crack propagation paths for different direction angle of Gr/Al composite.
表 1不同模型的参数, 包括石墨烯长度 (l ) 和石墨烯与裂纹的相对距离 (δ)
Table 1.Parameters of different models including graphene length (l ) and the distance between graphene and crack (δ).
表 2原子间Lennard-Jones (L-J)势函数参数值
Table 2.Lennard-Jones (L-J) potential parameter for atomic interactions
Hu Z, Tong G, Lin D, Chen C, Guo H, Xu J, Zhou L 2016 Mater. Sci. Technol. 32 930
Kelchner C, Plimpton S, Hamilton J 2000 Phys. Rev. B 58 11085