[1] G. Allaire, F. Jouve and A.M. Toader, Structural optimization using sensitivity analysis and a level-set method,
J. Comput. Phys. 194(1) (2004) 363–393.
[2] H.C. Cheng, K.N. Chiang and T.Y. Chen, Optimal configuration design of elastic structures for stability, Int.
Conf. High Perf. Comput. Asia-Pacific Region, 2002.
[3] P. D. Dunning, E. Ovtchinnikov, J. Scott and H. Alicia Kim, Level-set topology optimization with many linear
buckling constraints using an efficient and robust eigensolver, Int. J. Numerical Meth. Engin. 10(12)7 (2016)
1029–1053.
[4] X. Gao and H. Ma, Topology optimization of continuum structures under buckling constraints Comput. Struct.
157(C) (2015) 142-152.
[5] M. Jansena, G. Lombaerta and M. Schevenelsb, Robust topology optimization of structures with imperfect geometry
based on geometric nonlinear analysis, Comput. Meth. Appl. Mech. Engrg. 285 (2015) 452–467.
[6] M.M. Neves, H. Rodrigues and J.M. Guedes, Generalized topology design of structures with a buckling load
criterion, Struct. Optim. 10(2) (1995) 71–78.
[7] M.M. Neves, O. Sigmund and M.P. Bendsoe,Topology optimization of periodic microstructures with a penalization
of highly localized buckling modes, Int. J. Numerical Meth. Eng. 54(6) (2002) 809–834.
[8] J. Osher and J.A. Sethian, Front propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi
formulations, J. Comput. Phys. 79(1) (1988) 12–49.
[9] M. Otomori, T. Yamada, K. Izui and S.H. Nishiwaki, Matlab code for a level set-based topology optimization
method using a reaction diffusion equation, Struct. Multidis. Optim. 51 (2014) 1159–1172.
[10] L. Quantian and T. Liyong, Structural topology optimization for maximum linear buckling loads by using a moving
iso-surface threshold method, Struct. Multidis. Optim. 52(1) (2015) 71–90.
[11] J.A. Sethian and A. Wiegmann, Structural boundary design via level set and immersed interface methods, J.
Comput. Phys. 163(2) (2000) 489–528.
[12] P. Wei, Z. Li, X. Li1 and M. Yu Wang, An 88-line MATLAB code for the parameterized level set method based
topology optimization using radial basis functions, Struct. Multidis. Optim. 58 (2018) 831–849.
[13] Qi Xia, M. Yu Wang and Tielin Shi, A level set method for shape and topology optimization of both structure and
support of continuum structures, Comput. Meth. Appl. Mech. Engin. 272 (2014) 340–353.
[14] Qi Xia, M. Yu Wang and Tielin Shi, A move limit strategy for level set based structural optimization, Engin.
Optim. 45(9) (2013) 1061–1072.
[15] T. Yamada, K. Izui, S. Nishiwaki and A. Takezawa, A topology optimization method based on the level set method
incorporating a fictitious interface energy, Comput. Meth. Appl. Mech. Eng. 199 (2010) 2876–2891.