254
A. Roy et al.
3. Kumar, J.: Ultrasonic machining—a comprehensive review. Mach. Sci. Technol. 17, 325–379
(2013)
4. Singh, R., Khamba, J.: Ultrasonic machining of titanium and its alloys: a review. J. Mater.
Process. Technol. 173, 125–135 (2006)
5. Thoe, T., Aspinwall, D., Wise, M.: Review on ultrasonic machining. Int. J. Mach. Tools Manuf
38, 239–255 (1998)
6. Babitsky, V., Mitrofanov, A., Silberschmidt, V.: Ultrasonically assisted turning of aviation
materials: simulations and experimental study. Ultrasonics 42, 81–86 (2004)
7. Maurotto, A., Muhammad, R., Roy, A., Silberschmidt, V.V.: Enhanced ultrasonically assisted
turning of a β-titanium alloy. Ultrasonics 53, 1242–1250 (2013)
8. Brehl, D., Dow, T.: Review of vibration-assisted machining. Precis. Eng. 32, 153–172 (2008)
9. Shi, B., Attia, H.: Current status and future direction in the numerical modeling and simulation
of machining processes: a critical literature review. Mach. Sci. Technol. 14, 149–188 (2010)
10. Paturi, U.M.R., Narala, S.K.R., Pundir, R.S.: Constitutive flow stress formulation, model validation and FE cutting simulation for AA7075-T6 aluminum alloy. Mater. Sci. Eng. A 605,
176–185 (2014)
11. Zahedi, S.A., Roy, A., Silberschmidt, V.V.: Modelling of vibration assisted machining fcc single
crystal. Procedia CIRP 31, 393–398 (2015)
12. Mian, A., Driver, N., Mativenga, P.: Identification of factors that dominate size effect in micromachining. Int. J. Mach. Tools Manuf. 51, 383–394 (2011)
13. Zhang, Y., Mabrouki, T., Nelias, D., Courbon, C., Rech, J., Gong, Y.: Cutting simulation
capabilities based on crystal plasticity theory and discrete cohesive elements. J. Mater. Process.
Technol. 212, 936–953 (2012)
14. Kota, N., Ozdoganlar, O.B.: Orthogonal machining of single-crystal and coarse-grained
aluminum. J. Manuf. Process. 14, 126–134 (2012)
15. Zahedi, S.A., Demiral, M., Roy, A., Silberschmidt, V.V.: FE/SPH modelling of orthogonal
micro-machining of fcc single crystal. Comput. Mater. Sci. 78, 104–109 (2013)
16. Tajalli, S., Movahhedy, M., Akbari, J.: Simulation of orthogonal micro-cutting of FCC materials
based on rate-dependent crystal plasticity finite element model. Comput. Mater. Sci. 86, 79–87
(2014)
17. Demiral, M., Roy, A., El Sayed, T., Silberschmidt, V.V.: Numerical modelling of micromachining of fcc single crystal: Influence of strain gradients. Comput. Mater. Sci. 94, 273–278
(2014)
18. Pal, D., Stucker, B.: A study of subgrain formation in Al 3003 H-18 foils undergoing ultrasonic additive manufacturing using a dislocation density based crystal plasticity finite element
framework. J. Appl. Phys. 113, 203517 (2013)
19. Huang. Y.: A User-Material Subroutine Incorporating Single Crystal Plasticity in the ABAQUS
Finite Element Program. Harvard University (1991)
20. Hutchinson, J.: Bounds and self-consistent estimates for creep of polycrystalline materials.
Proc. R. Soc. Lond. Math. Phys. Sci. 348, 101–127 (1976)
21. Asaro, R.J.: Crystal plasticity. J. Appl. Mech. 50, 921–934 (1983)
22. Takeuchi, T.: Work hardening of copper single crystals with multiple glide orientations. Trans.
Jpn. Inst. Met. 16, 629–640 (1975)
A. Roy et al.
3. Kumar, J.: Ultrasonic machining—a comprehensive review. Mach. Sci. Technol. 17, 325–379
(2013)
4. Singh, R., Khamba, J.: Ultrasonic machining of titanium and its alloys: a review. J. Mater.
Process. Technol. 173, 125–135 (2006)
5. Thoe, T., Aspinwall, D., Wise, M.: Review on ultrasonic machining. Int. J. Mach. Tools Manuf
38, 239–255 (1998)
6. Babitsky, V., Mitrofanov, A., Silberschmidt, V.: Ultrasonically assisted turning of aviation
materials: simulations and experimental study. Ultrasonics 42, 81–86 (2004)
7. Maurotto, A., Muhammad, R., Roy, A., Silberschmidt, V.V.: Enhanced ultrasonically assisted
turning of a β-titanium alloy. Ultrasonics 53, 1242–1250 (2013)
8. Brehl, D., Dow, T.: Review of vibration-assisted machining. Precis. Eng. 32, 153–172 (2008)
9. Shi, B., Attia, H.: Current status and future direction in the numerical modeling and simulation
of machining processes: a critical literature review. Mach. Sci. Technol. 14, 149–188 (2010)
10. Paturi, U.M.R., Narala, S.K.R., Pundir, R.S.: Constitutive flow stress formulation, model validation and FE cutting simulation for AA7075-T6 aluminum alloy. Mater. Sci. Eng. A 605,
176–185 (2014)
11. Zahedi, S.A., Roy, A., Silberschmidt, V.V.: Modelling of vibration assisted machining fcc single
crystal. Procedia CIRP 31, 393–398 (2015)
12. Mian, A., Driver, N., Mativenga, P.: Identification of factors that dominate size effect in micromachining. Int. J. Mach. Tools Manuf. 51, 383–394 (2011)
13. Zhang, Y., Mabrouki, T., Nelias, D., Courbon, C., Rech, J., Gong, Y.: Cutting simulation
capabilities based on crystal plasticity theory and discrete cohesive elements. J. Mater. Process.
Technol. 212, 936–953 (2012)
14. Kota, N., Ozdoganlar, O.B.: Orthogonal machining of single-crystal and coarse-grained
aluminum. J. Manuf. Process. 14, 126–134 (2012)
15. Zahedi, S.A., Demiral, M., Roy, A., Silberschmidt, V.V.: FE/SPH modelling of orthogonal
micro-machining of fcc single crystal. Comput. Mater. Sci. 78, 104–109 (2013)
16. Tajalli, S., Movahhedy, M., Akbari, J.: Simulation of orthogonal micro-cutting of FCC materials
based on rate-dependent crystal plasticity finite element model. Comput. Mater. Sci. 86, 79–87
(2014)
17. Demiral, M., Roy, A., El Sayed, T., Silberschmidt, V.V.: Numerical modelling of micromachining of fcc single crystal: Influence of strain gradients. Comput. Mater. Sci. 94, 273–278
(2014)
18. Pal, D., Stucker, B.: A study of subgrain formation in Al 3003 H-18 foils undergoing ultrasonic additive manufacturing using a dislocation density based crystal plasticity finite element
framework. J. Appl. Phys. 113, 203517 (2013)
19. Huang. Y.: A User-Material Subroutine Incorporating Single Crystal Plasticity in the ABAQUS
Finite Element Program. Harvard University (1991)
20. Hutchinson, J.: Bounds and self-consistent estimates for creep of polycrystalline materials.
Proc. R. Soc. Lond. Math. Phys. Sci. 348, 101–127 (1976)
21. Asaro, R.J.: Crystal plasticity. J. Appl. Mech. 50, 921–934 (1983)
22. Takeuchi, T.: Work hardening of copper single crystals with multiple glide orientations. Trans.
Jpn. Inst. Met. 16, 629–640 (1975)