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63. Li, Q., Steven, G., Xie, Y.: Thermoelastic topology optimization for problems with varying
temperature fields. J. Therm. Stres. 24, 347–366 (2001)
64. Rodrigues, H., Fernandes, P.: A material based model for topology optimization of thermoelastic structures. Int. J. Num. Meth. Eng. 38(12), 1951–1969 (1999)
65. Cho, S., Choi, J.: Efficient topology optimization of thermo-elasticity problems using coupled
field adjoint sensitivity analysis method. Fin. Elem. Anal. Des. 41(15), 1481–1499 (2009)
66. Chen, X., Mai, Y.: Micromechanics of rubber-toughened polymers. J. Mater. Sci. 33(14),
3529–3539 (1998)
67. Hashin, Z., Shtrikman, S.: A variational approach to the theory of the elastic behaviour of
multiphase materials. J. Mech. Phys. Sol. 11, 127–140 (1963)
68. Guest, J., Prevost, J.: Optimizing multifunctional materials: design of microstructures for
maximized stiffness and fluid permeability. Int. J. Sol. Struct. 43, 7028–7047 (2006)
69. Prager, W., Taylor, J.: Problems of optimal structural design. J. Appl. Mech. 35, 102–106
(1968)
70. Torquato, S., Hyun, S., Donev, A.: Optimal design of manufacturable three-dimensional composites with multifunctional characteristics. J. Appl. Phys. 94(9), 5748–5759 (2003)
71. Yoo, J., Lee, C.: Topology optimization of a swing arm type actuator using the response surface
method. Microsys. Technol. Micro Nanosys. Inf. Stor. Proc. Syst. 13(1), 21–31 (2007)
72. Bendsoe, M.P., Sigmund, O.: Topology Optimization. Theory, Methods and Applications.
Springer, Berlin (2003)
73. Eschenauer, H.A., Olhoff, N.: Topology optimization of continuum structures: a review. Appl.
Mech. Rev. 54(4), 331–390 (2001)
74. Rozvany, G.I.N.: Aims, scope, methods, history and unified terminology of computer-aided
topology optimization in structural mechanics. Struct. Multidiscip. Optim. 21(2), 90–108
(2001)
75. Rozvany, G.I.N., Zhou, M., Birker, T.: Generalized shape optimization without homogenenization. Struct. Optim. 4(3–4), 250–254 (1992)
76. Stolpe, M., Svanberg, K.: An alternative interpolation scheme for minimum compliance topology optimization. Struct. Multidiscip. Optim. 22(2), 116–124 (2001)
77. Bruns, T.E.: A reevaluation of the SIMP method with filtering and an alternative formulation
for solid-void topology optimization. Struct. Multidiscip. Optim. 30(6), 428–436 (2009)
78. Guest, J.K., Prevost, J.H., Belytschko, T.: Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Int. J. Num. Meth. Eng. 61(2),
238–254 (2004)
79. Sigmund, O.: Morphology-based black and white filters for topology optimization. Struct.
Multidiscip. Optim. 33(4–5), 401–424 (2007)
80. Sigmund, O., Petersson, J.: Numerical instabilities in topology optimization: a survey on
procedures dealing with checkerboards, mesh-dependencies, and local minima. Struct. Optim.
16(1), 68–75 (1998)
81. Bourdin, B.: Filters in topology optimization. Int. J. Num. Meth. Eng. 50(9), 2143–2158
(2001)
82. Bruns, T.E., Tortorelli, D.A.: Topology optimization of non-linear elastic structures and compliant mechanisms. Comput. Meth. Appl. Mech. Eng. 190(26–27), 3443–3459 (2001)
83. Wang, F., Lazarov, B.S., Sigmund, O.: On projection methods, convergence and robust formulations in topology optimization. Struct. Multidiscip. Optim. 43(6), 767–784 (2011)
84. Guest, J.K., Asadpoure, A., Ha, S.-H.: Eliminating beta-continuation from Heaviside projection and density filter algorithms. Struct. Multidiscip. Optim. 44(4), 443–453 (2011)
85. Deaton, J.D., Grandhi, R.V.: Stiffening of restrained thermal structures via topology optimization. Struct. Multidiscip. Optim. 48(4), 731–745 (2013)
86. Sigmund, O., Maute, K.: Topology optimization approaches. Struct. Multidiscip. Optim.
48(6), 1031–1055 (2013)
87. Xia, Q., Wang, M.Y.: Topology optimization of thermoelastic structures using level set method.
Comput. Mech. 42(6), 837–857 (2008)