Bending and punching characteristics of aluminum sheets using the quasi-continuum method
- Man-Ping Chang,
- Shang-Jui Lin and
- Te-Hua Fang
Beilstein J. Nanotechnol. 2022, 13, 1303–1315, doi:10.3762/bjnano.13.108
Figure 1: The physical model of the nano-punching system. (a) The punch is made of nickel, and the workpiece ...
Figure 2: The shear stress–displacement curves of O1, O2, and O3 orientations during the nano-punching proces...
Figure 3: The schematic diagram of the nano-punching process. (a) The elastic deformation stage, (b) the plas...
Figure 4: The atomic displacement vectors of O1, O2, and O3 during the punching process.
Figure 5: The shear stress distribution diagram of orientation O1, O2, and O3 during the punching process. Th...
Figure 6: The shear stress and strain distribution during the unloading process of the O1, O2, and O3 orienta...
Figure 7: The shear stress–displacement curves of workpieces with various thicknesses during the nano-punchin...
Figure 8: The fracture strength of the 5, 10, 15, and 20 Å workpieces.
Figure 9: The shear stress distribution diagram of the 5, 10, 15, and 20 Å workpieces during the punching pro...
Figure 10: The fracture strength of various workpiece clearances.
Figure 11: The shear stress distribution diagram of the 15 Å workpiece with 5, 10, 15, and 20 Å clearance valu...
Figure 12: The shear stress distribution diagram of the 20 Å workpiece with 5, 10, 15, and 20 Å clearance valu...
Figure 13: The fracture strength of the punch with various angles.
Figure 14: The shear stress distribution of θ = 5°, 10°, 15°, and 20° taper angles during the nano-punching pr...
Effects of temperature and repeat layer spacing on mechanical properties of graphene/polycrystalline copper nanolaminated composites under shear loading
- Chia-Wei Huang,
- Man-Ping Chang and
- Te-Hua Fang
Beilstein J. Nanotechnol. 2021, 12, 863–877, doi:10.3762/bjnano.12.65
Figure 1: Schematic of GPCuNL composite.
Figure 2: Two different graphene chiralities and the bond length of graphene.
Figure 3: Stress–strain curves of (a) zigzag and (b) armchair GPCuNL composites at different temperatures.
Figure 4: The shear modulus of GPCuNL composites at different temperatures and with different graphene chiral...
Figure 5: (a, c) Cross-sectional view of the CSP analysis of the GPCuNL composites and (b, d) DXA analysis of...
Figure 6: (a–f) Von Mises stress of graphene under shear loading along the zigzag direction at 300 K. (a–c) T...
Figure 7: (a, c) Cross-sectional view of the CSP analysis of the GPCuNL composites and (b, d) DXA analysis of...
Figure 8: (a–f) Von Mises stress of graphene under shear loading along the armchair direction at 300 K. (a)–(...
Figure 9: Out-of-plane displacement of graphene at different temperatures. (a1–a5) Zigzag graphene, (b1–b5) a...
Figure 10: Stress–strain curves of zigzag graphene/Cu composites with different repeat layer spacings.
Figure 11: The shear modulus of zigzag GPCuNL composites with different repeat layer spacings.
Figure 12: The out-of-plane displacement of zigzag graphene with different repeat layer spacings.
Figure 13: The DXA analysis of GPCuNL composites with different repeat layer spacings at 300 K. The magnified ...
Figure 14: Stress–strain curves of zigzag GPCuNL composites with different grain sizes.
Figure 15: Shear modulus of zigzag GPCuNL composites with different grain sizes.
Figure 16: The structural evolution of polycrystalline Cu with different grain sizes. The “PD” symbols represe...
Figure 17: The out-of-plane displacement of zigzag graphene in GPCuNL composites with different grain sizes.
Fatigue crack growth characteristics of Fe and Ni under cyclic loading using a quasi-continuum method
- Ren-Zheng Qiu,
- Yi-Chen Lin and
- Te-Hua Fang
Beilstein J. Nanotechnol. 2018, 9, 1000–1014, doi:10.3762/bjnano.9.93
Figure 1: (a) Diagrams showing the physical models of Fe and Ni used in the simulations. (b) Diagram showing ...
Figure 2: Force–distance curve of Ni under two times of cyclic loading, where the tension and compression dis...
Figure 3: Crack growth and expansion diagrams of Ni under the first cyclic loading at different moving distan...
Figure 4: Crack growth and expansion diagrams of Ni during the second cyclic loading at different moving dist...
Figure 5: Force–distance curve of Ni under ten times of cyclic loading, where the first tension distance of t...
Figure 6: Crack growth and expansion diagrams of Ni corresponding to the observation positon a–f annotated in ...
Figure 7: Force–distance curve of Fe under two times of cyclic loading, where the tension and compression dis...
Figure 8: Crack growth and expansion diagrams of Fe under the first cyclic loading at different moving distan...
Figure 9: Crack growth and expansion diagrams of Fe under the second cyclic loading at different moving dista...
Figure 10: Force–distance curve of Fe under ten times of cyclic loading, where the first tension distance of t...
Figure 11: Crack growth and expansion diagrams of Fe corresponding to the observation positons a–f annotated i...
Figure 12: Comparison between the growth of crack length for Ni and Fe under ten times of cyclic loading.
Figure 13: Force–distance curve of Ni under ten times of cyclic loading, where the first shear distance of the...
Figure 14: Crack growth and expansion diagrams of Ni corresponding to the observation positions a–f in Figure 13.
Figure 15: Force–distance curve of Fe under ten times of cyclic loading, where the first shear distance of the...
Figure 16: Crack growth and expansion diagrams of Fe corresponding to the observation positons a–f annotated i...
Figure 17: Force–distance curve of Ni along orientation I (black dashed line) and orientation II (red line) un...
Figure 18: Crack growth and expansion diagrams of Ni along orientation II corresponding to the observation pos...
Figure 19: Force–distance curves of Fe along the orientation I (black dashed line) and orientation II (red lin...
Figure 20: Crack growth and expansion diagrams of Fe along the orientation II corresponding to the observation...
Molecular dynamics simulations of nanoindentation and scratch in Cu grain boundaries
- Shih-Wei Liang,
- Ren-Zheng Qiu and
- Te-Hua Fang
Beilstein J. Nanotechnol. 2017, 8, 2283–2295, doi:10.3762/bjnano.8.228
Figure 1: Physical model diagrams of (a) transverse grain boundary indentation, (b) vertical grain boundary i...
Figure 2: The slip vector diagrams of the transverse grain boundary with the different angles of (a) θ = 10°,...
Figure 3: The slip vector diagrams of the transverse grain boundary with the different angles of (a) θ = 10°,...
Figure 4: The atomic flow diagrams of the transverse grain boundary with the different angles of (a) θ = 10°,...
Figure 5: The slip vector diagrams of the transverse grain boundary with the (a) 3 layers, (b) 4 layers, and ...
Figure 6: The slip vector diagrams of the transverse grain boundary with the (a) 3 layers, (b) 4 layers, and ...
Figure 7: The atomic flow diagrams of the transverse grain boundary with the (a) 3 layers, (b) 4 layers, and ...
Figure 8: The normal force versus time for the transverse grain boundary with 3, 4 and 6 layers for an indent...
Figure 9: The slip vector diagrams of the vertical grain boundary with the different angles of (a) θ = 10°, (...
Figure 10: The slip vector diagrams of the vertical grain boundary with the different angles of (a) θ = 10°, (...
Figure 11: The von Mises stress diagrams of the vertical grain boundary with the different angles of (a) θ = 1...
Figure 12: The normal force versus time for the vertical grain boundary with different angles of θ = 10–40° fo...
Figure 13: The slip vector diagrams of the vertical grain boundary with the different angles of (a) θ = 10°, (...
Figure 14: The atomic flow diagrams of the vertical grain boundary with the different angles of (a) θ = 10°, (...
Figure 15: The tangential force versus time for the vertical grain boundary at different angles θ = 10–40° for...
Figure 16: The average resistance coefficient versus the different angles for a scratch of 5 nm.
