400
9 Topologic Optimization of Vibrations of Size-Dependent Beams
88. Gao, T., Zhang, W.: Topology optimization involving thermo-elastic stress loads. Struct. Multidiscip. Optim. 42(5), 725–738 (2010)
89. Yang, X., Li, Y.: Topology optimization to minimize the dynamic compliance of a bi-material
plate in a thermal environment. Struct. Multidiscip. Optim. 47(3), 399–408 (2013)
90. Duysinx, P., Bendsoe, M.P.: Topology optimization of continuum structures with local stress
constraints. Int. J. Num. Meth. Eng. 43(8), 1453–1478 (1998)
91. Cheng, G., Jiang, Z.: Study on topology optimization with stress constraints. Eng. Optim.
20(2), 129–148 (1992)
92. Cheng, G., Guo, X.: Epsilon-relaxed approach in structural topology optimization. Struct.
Optim. 13, 258–266 (1997)
93. Bruggi, M.: On an alternative approach to stress constraints relaxation in topology optimization. Struct. Multidiscip. Optim. 36(2), 125–141 (2008)
94. Bruggi, M., Venini, P.: A mixed FEM approach to stress-constrained topology optimization.
Int. J. Num. Meth. Eng. 73(12), 1693–1714 (2008)
95. Guilherme, C.E.M., Fonseca, C.E.M.: Topology optimization of continuum structures with
epsilon-relaxed stress constraints. In: Alves, M., Da Costa Mattos, H. (eds.) International
Symposium on Solid Mechanics, vol. 1, pp. 239–250 (2007)
96. Reddy, J.N., Kim, J.: A nonlinear modified couple stress-based third-order theory of functionally graded plates. Compos. Struct. 94, 1128–1143 (2012)
97. Paris, P., Navarrina, F., Colominas, I., Casteleiro, M.: Topology optimization of continuum
structures with local and global stress constraints. Struct. Multidiscip. Optim. 39(4), 419–437
(2009)
98. Pereira, J., Fancello, E., Barcellos, C.: Topology optimization of continuum structures with
material failure constraints. Struct. Multidiscip. Optim. 26(1–2), 50–66 (2004)
99. Le, C., Norato, J., Bruns, T.E., Ha, C., Tortorelli, D.A.: Stress-based topology optimization
for continua. Struct. Multidiscip. Optim. 41(4), 605–620 (2010)
100. Krysko, A.V., Awrejcewicz, J., Pavlov, S.P., Bodyagina, K.S., Krysko, V.A.: Topological
optimization of thermoelastic composites with maximized stiffness and heat transfer. Compos.
Part B 158, 319–327 (2019)
101. Andrianov, I.V., Awrejcewicz, J., Danishevskyy, V.V.: Asymptotical Mechanics of Composites. Springer, Berlin (2018)
102. Alizadeh, A.N., Sofiyev, A.H.: Modified Young’s moduli of nano-materials taking into account
the scale effects and vacancies. Meccanica 46, 915–920 (2011)
103. Awrejcewicz, J., Pavlov, S.P., Bodyagina, K.S., Zhigalov, M.V., Krysko, V.A.: Design of composite structures with extremal elastic properties in the presence of technological constraints.
Compos. Struct. 174, 19–25 (2017)
104. Seresta, O., Gürdal, Z., Adams, D.B., Watson, L.T.: Optimal design of composite wing structures with blended laminates. Comput. Part B 38, 469–480 (2007)
105. Bassir, D.H., Irisarri, F.X., Maire, J.F., Carrere, N.: Incorporating industrial constraints for
multiobjective optimization of composite laminates using a GA. Int. J. Simul. Multidisci. Des.
Optim. 2, 101–106 (2008)
106. Lee, D.S., Morillo, C., Bugeda, G., Oller, S., Onate, E.: Multilayered composite structure
design optimisation using distributed/parallel multi-objective evolutionary algorithms. Compos. Struct. 94(3), 1087–1096 (2012)
107. Ning, F., Cong, W., Qiu, J., Wei, J., Wang, S.: Additive manufacturing of carbon fiber reinforced thermoplastic composites using fused deposition modelling. Compos. Part B 80, 369–
378 (2015)
108. Madeira, J.F.A., Araujo, A.L., Mota Soares, C.M.: Multiobjective optimization of constrained
layer damping treatments in composite plate structures. Mech. Adv. Mater. Struc. 24(5) 427–
436 (2017)
109. Salem, A.I., Donaldson, S.L.: Weight and cost multi-objective optimization of hybrid composite sandwich structures. Int. J. Comput. Meth. Exp. Meas. 5(2), 200–210 (2017)
110. Seretis, G., Kouzilos, G., Manolakos, D., Provatidis, Ch.: Multi-objective curing cycle optimization for glass fabric/epoxy composites using Poisson regression and genetic algorithm.
Mater. Res. 21(2), e20170815 (2018)
9 Topologic Optimization of Vibrations of Size-Dependent Beams
88. Gao, T., Zhang, W.: Topology optimization involving thermo-elastic stress loads. Struct. Multidiscip. Optim. 42(5), 725–738 (2010)
89. Yang, X., Li, Y.: Topology optimization to minimize the dynamic compliance of a bi-material
plate in a thermal environment. Struct. Multidiscip. Optim. 47(3), 399–408 (2013)
90. Duysinx, P., Bendsoe, M.P.: Topology optimization of continuum structures with local stress
constraints. Int. J. Num. Meth. Eng. 43(8), 1453–1478 (1998)
91. Cheng, G., Jiang, Z.: Study on topology optimization with stress constraints. Eng. Optim.
20(2), 129–148 (1992)
92. Cheng, G., Guo, X.: Epsilon-relaxed approach in structural topology optimization. Struct.
Optim. 13, 258–266 (1997)
93. Bruggi, M.: On an alternative approach to stress constraints relaxation in topology optimization. Struct. Multidiscip. Optim. 36(2), 125–141 (2008)
94. Bruggi, M., Venini, P.: A mixed FEM approach to stress-constrained topology optimization.
Int. J. Num. Meth. Eng. 73(12), 1693–1714 (2008)
95. Guilherme, C.E.M., Fonseca, C.E.M.: Topology optimization of continuum structures with
epsilon-relaxed stress constraints. In: Alves, M., Da Costa Mattos, H. (eds.) International
Symposium on Solid Mechanics, vol. 1, pp. 239–250 (2007)
96. Reddy, J.N., Kim, J.: A nonlinear modified couple stress-based third-order theory of functionally graded plates. Compos. Struct. 94, 1128–1143 (2012)
97. Paris, P., Navarrina, F., Colominas, I., Casteleiro, M.: Topology optimization of continuum
structures with local and global stress constraints. Struct. Multidiscip. Optim. 39(4), 419–437
(2009)
98. Pereira, J., Fancello, E., Barcellos, C.: Topology optimization of continuum structures with
material failure constraints. Struct. Multidiscip. Optim. 26(1–2), 50–66 (2004)
99. Le, C., Norato, J., Bruns, T.E., Ha, C., Tortorelli, D.A.: Stress-based topology optimization
for continua. Struct. Multidiscip. Optim. 41(4), 605–620 (2010)
100. Krysko, A.V., Awrejcewicz, J., Pavlov, S.P., Bodyagina, K.S., Krysko, V.A.: Topological
optimization of thermoelastic composites with maximized stiffness and heat transfer. Compos.
Part B 158, 319–327 (2019)
101. Andrianov, I.V., Awrejcewicz, J., Danishevskyy, V.V.: Asymptotical Mechanics of Composites. Springer, Berlin (2018)
102. Alizadeh, A.N., Sofiyev, A.H.: Modified Young’s moduli of nano-materials taking into account
the scale effects and vacancies. Meccanica 46, 915–920 (2011)
103. Awrejcewicz, J., Pavlov, S.P., Bodyagina, K.S., Zhigalov, M.V., Krysko, V.A.: Design of composite structures with extremal elastic properties in the presence of technological constraints.
Compos. Struct. 174, 19–25 (2017)
104. Seresta, O., Gürdal, Z., Adams, D.B., Watson, L.T.: Optimal design of composite wing structures with blended laminates. Comput. Part B 38, 469–480 (2007)
105. Bassir, D.H., Irisarri, F.X., Maire, J.F., Carrere, N.: Incorporating industrial constraints for
multiobjective optimization of composite laminates using a GA. Int. J. Simul. Multidisci. Des.
Optim. 2, 101–106 (2008)
106. Lee, D.S., Morillo, C., Bugeda, G., Oller, S., Onate, E.: Multilayered composite structure
design optimisation using distributed/parallel multi-objective evolutionary algorithms. Compos. Struct. 94(3), 1087–1096 (2012)
107. Ning, F., Cong, W., Qiu, J., Wei, J., Wang, S.: Additive manufacturing of carbon fiber reinforced thermoplastic composites using fused deposition modelling. Compos. Part B 80, 369–
378 (2015)
108. Madeira, J.F.A., Araujo, A.L., Mota Soares, C.M.: Multiobjective optimization of constrained
layer damping treatments in composite plate structures. Mech. Adv. Mater. Struc. 24(5) 427–
436 (2017)
109. Salem, A.I., Donaldson, S.L.: Weight and cost multi-objective optimization of hybrid composite sandwich structures. Int. J. Comput. Meth. Exp. Meas. 5(2), 200–210 (2017)
110. Seretis, G., Kouzilos, G., Manolakos, D., Provatidis, Ch.: Multi-objective curing cycle optimization for glass fabric/epoxy composites using Poisson regression and genetic algorithm.
Mater. Res. 21(2), e20170815 (2018)