28
H. Li et al.
References
1. Chen, Y., Chen, S., Li, L.: Influence of interfacial reaction layer morphologies on crack initiation
and propagation in Ti/Al joint by laser welding-brazing. Mater. Des. 31(1), 227–233 (2010)
2. Satoh, G., Yao, Y.L., Qiu, C.: Strength and microstructure of laser fusion-welded Ti-SS
dissimilar material pair. Int. J. Adv. Manuf. Tech. 66, 469–479 (2013)
3. Fang, Y.J., Jiang, X.S., Mo, D.F., Zhu, D.G., Luo, Z.P.: A review on dissimilar metals’ welding
methods and mechanisms with interlayer. Int. J. Adv. Manuf. Tech. 102, 2845–2863 (2019)
4. Zhang, Z., Zhang, H.W.: Material behaviors and mechanical features in friction stir welding
process. Int. J. Adv. Manuf. Tech. 35, 86–100 (2007)
5. Zhu, Z., Lee, K.Y., Wang, X.: Ultrasonic welding of dissimilar metals, AA6061 and Ti6Al4V.
Int. J. Adv. Manuf. Tech. 59, 569–574 (2012)
6. Farajkhah, V., Liu, Y., Gannon, L.: Finite element study of 3D simulated welding effect in
aluminium plates. Ships Offshore Structures 12(2), 196–208 (2017)
7. Zhou, K., Yao, P.: Overview of recent advances of process analysis and quality control in
resistance spot welding. Mech. Syst. Signal Pr. 124, 170–198 (2019)
8. Masubuchi, K. (eds.): Analysis of Welded Structures. Oxford, Pergamon (1980)
9. Chao, Y.J., Qi, X.: Thermal and thermos-mechanical modeling of friction stir welding of
aluminum alloy 6061–T6. J. Mater. Process Manuf. Sci. 7(2), 215–233 (1998)
10. Riahi, M., Nazari, H.: Analysis of transient temperature and residual thermal stresses in friction
stir welding of aluminum alloy 6061–T6 via numerical simulation. Int. J. Adv. Manuf. Tech.
55(1), 143–152 (2010)
11. Kumaresan, D., Asraff, A. K., Muthukumar, R.: Numerical investigation on hear transfer and
residual stress in a butt welded plate, Journal of Pressure Vessel Technology, Transactions of
the ASME, 133(4), (2011).
12. Tang, W., Guo, X., McClure, J.C., Murr, L.E., Nunes, A.: Heat input and temperature
distribution in friction stir welding. J. Mater. Process Manuf. Sci. 7(2), 163–172 (1998)
13. Zhang, Z., Zhang, H.W.: A fully coupled thermos-mechanical model of friction stir welding.
Int. J. Adv. Manuf. Tech. 37, 279–293 (2008)
14. Gannon, L., Liu, Y., Pegg, N., Smith, M.: Effect of welding sequence on residual stress and
distortion in flat-bar stiffened plates. Mar. Struct. 23(3), 385–404 (2010)
15. Pardo, E., Weckman, D.C.: Prediction of weld pool and rein-forcement dimensions of GMA
welds using a finite element model. Metall Trans. B. 20, 937–947 (1989)
16. Silling, S.A.: Reformulation of elasticity theory for discontinuities and long-range forces. J.
Mech. Phys. Solids 48(1), 175–209 (2000)
17. Silling, S.A., Askari, E.: A meshfree method based on the peridynamic model of solid
mechanics. Comput. Struct. 83(17–18), 1526–1535 (2005)
18. Bobaru, F., Foster, J.T., Geubelle, P.H., Silling, S.A.: Handbook of Peridynamic Modeling.
CRC Press, New York (2017)
19. Tupek, M.R., Radovitzky, R.: An extended constitutive correspondence formulation of
peridynamics based on nonlinear bond-strain measures. J. Mech. Phys. Solids 65, 82–92 (2014)
20. Han, F., Lubineau, G., Azdoud, Y., Askari, A.: A morphing approach to couple state-based
peridynamics with classical continnum mechanics. Comput. Methods Appl. Mech. Engrg.
301, 336–358 (2016)
21. Lai, X., Liu, L.S., Li, S.F., Zeleke, M., Liu, Q., Wang, Z.: A non-ordinary state-based peridynamics modeling of fractures in quasi-brittle materials. Int. J. Impact Eng. 111, 130–146
(2018)
22. Ren, H.L., Zhuang, X.Y., Rabczuk, T.: Dual-horizon peridynamics: a stable solution to varying
horizons. Comput. Methods Appl. Mech. Eng. 318, 762–782 (2017)
23. Huang, D., Lu, G.D., Qiao, P.Z.: An improved peridynamic approach for quasi-static elastic
deformation and brittle fracture analysis. Int. J. Mech. Sci. 94–94, 111–122 (2015)
24. Oterkus, S., Madenci, E., Agwai, A.: Peridynamic thermal diffusion. J. Comput. Phys. 265,
71–96 (2014)
H. Li et al.
References
1. Chen, Y., Chen, S., Li, L.: Influence of interfacial reaction layer morphologies on crack initiation
and propagation in Ti/Al joint by laser welding-brazing. Mater. Des. 31(1), 227–233 (2010)
2. Satoh, G., Yao, Y.L., Qiu, C.: Strength and microstructure of laser fusion-welded Ti-SS
dissimilar material pair. Int. J. Adv. Manuf. Tech. 66, 469–479 (2013)
3. Fang, Y.J., Jiang, X.S., Mo, D.F., Zhu, D.G., Luo, Z.P.: A review on dissimilar metals’ welding
methods and mechanisms with interlayer. Int. J. Adv. Manuf. Tech. 102, 2845–2863 (2019)
4. Zhang, Z., Zhang, H.W.: Material behaviors and mechanical features in friction stir welding
process. Int. J. Adv. Manuf. Tech. 35, 86–100 (2007)
5. Zhu, Z., Lee, K.Y., Wang, X.: Ultrasonic welding of dissimilar metals, AA6061 and Ti6Al4V.
Int. J. Adv. Manuf. Tech. 59, 569–574 (2012)
6. Farajkhah, V., Liu, Y., Gannon, L.: Finite element study of 3D simulated welding effect in
aluminium plates. Ships Offshore Structures 12(2), 196–208 (2017)
7. Zhou, K., Yao, P.: Overview of recent advances of process analysis and quality control in
resistance spot welding. Mech. Syst. Signal Pr. 124, 170–198 (2019)
8. Masubuchi, K. (eds.): Analysis of Welded Structures. Oxford, Pergamon (1980)
9. Chao, Y.J., Qi, X.: Thermal and thermos-mechanical modeling of friction stir welding of
aluminum alloy 6061–T6. J. Mater. Process Manuf. Sci. 7(2), 215–233 (1998)
10. Riahi, M., Nazari, H.: Analysis of transient temperature and residual thermal stresses in friction
stir welding of aluminum alloy 6061–T6 via numerical simulation. Int. J. Adv. Manuf. Tech.
55(1), 143–152 (2010)
11. Kumaresan, D., Asraff, A. K., Muthukumar, R.: Numerical investigation on hear transfer and
residual stress in a butt welded plate, Journal of Pressure Vessel Technology, Transactions of
the ASME, 133(4), (2011).
12. Tang, W., Guo, X., McClure, J.C., Murr, L.E., Nunes, A.: Heat input and temperature
distribution in friction stir welding. J. Mater. Process Manuf. Sci. 7(2), 163–172 (1998)
13. Zhang, Z., Zhang, H.W.: A fully coupled thermos-mechanical model of friction stir welding.
Int. J. Adv. Manuf. Tech. 37, 279–293 (2008)
14. Gannon, L., Liu, Y., Pegg, N., Smith, M.: Effect of welding sequence on residual stress and
distortion in flat-bar stiffened plates. Mar. Struct. 23(3), 385–404 (2010)
15. Pardo, E., Weckman, D.C.: Prediction of weld pool and rein-forcement dimensions of GMA
welds using a finite element model. Metall Trans. B. 20, 937–947 (1989)
16. Silling, S.A.: Reformulation of elasticity theory for discontinuities and long-range forces. J.
Mech. Phys. Solids 48(1), 175–209 (2000)
17. Silling, S.A., Askari, E.: A meshfree method based on the peridynamic model of solid
mechanics. Comput. Struct. 83(17–18), 1526–1535 (2005)
18. Bobaru, F., Foster, J.T., Geubelle, P.H., Silling, S.A.: Handbook of Peridynamic Modeling.
CRC Press, New York (2017)
19. Tupek, M.R., Radovitzky, R.: An extended constitutive correspondence formulation of
peridynamics based on nonlinear bond-strain measures. J. Mech. Phys. Solids 65, 82–92 (2014)
20. Han, F., Lubineau, G., Azdoud, Y., Askari, A.: A morphing approach to couple state-based
peridynamics with classical continnum mechanics. Comput. Methods Appl. Mech. Engrg.
301, 336–358 (2016)
21. Lai, X., Liu, L.S., Li, S.F., Zeleke, M., Liu, Q., Wang, Z.: A non-ordinary state-based peridynamics modeling of fractures in quasi-brittle materials. Int. J. Impact Eng. 111, 130–146
(2018)
22. Ren, H.L., Zhuang, X.Y., Rabczuk, T.: Dual-horizon peridynamics: a stable solution to varying
horizons. Comput. Methods Appl. Mech. Eng. 318, 762–782 (2017)
23. Huang, D., Lu, G.D., Qiao, P.Z.: An improved peridynamic approach for quasi-static elastic
deformation and brittle fracture analysis. Int. J. Mech. Sci. 94–94, 111–122 (2015)
24. Oterkus, S., Madenci, E., Agwai, A.: Peridynamic thermal diffusion. J. Comput. Phys. 265,
71–96 (2014)