Reference


[7] C. B. W. Pedersen and P. Allinger, "Industrial implementation and applications of topology optimization and future needs," in IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials, 2006, pp. 229238.
連結：

[9] M. Stolpe and K. Svanberg, "An alternative interpolation scheme for minimum compliance topology optimization," Structural and Multidisciplinary Optimization, vol. 22, pp. 116124, 2001.
連結：

[10] T. E. Bruns, "A reevaluation of the SIMP method with filtering and an alternative formulation for solid–void topology optimization," Structural and Multidisciplinary Optimization, vol. 30, pp. 428436, 2005.
連結：

[12] R. L. Hamilton and O. K. Crosser, "Thermal conductivity of heterogeneous twocomponent systems," Industrial & Engineering Chemistry Fundamentals, vol. 1, pp. 187191, 1962.
連結：

[13] S. Kirkpatrick, "Percolation and conduction," Reviews of modern physics, vol. 45, p. 574, 1973.
連結：

[15] A. Eucken, "Allgemeine gesetzmäßigkeiten für das wärmeleitvermögen verschiedener stoffarten und aggregatzustände (in German)," Forschung auf dem Gebiet des Ingenieurwesens A, vol. 11, pp. 620, 1940.
連結：

[16] Z. Hashin and S. Shtrikman, "A variational approach to the theory of the elastic behaviour of multiphase materials," Journal of the Mechanics and Physics of Solids, vol. 11, pp. 127140, 1963.
連結：

[17] R. Landauer, "The electrical resistance of binary metallic mixtures," Journal of Applied Physics, vol. 23, pp. 779784, 1952.
連結：

[18] A. Bejan, "Constructaltheory network of conducting paths for cooling a heat generating volume," International Journal of Heat and Mass Transfer, vol. 40, pp. 799816, 1997.
連結：

[19] A. Bejan and S. Lorente, "The constructal law and the thermodynamics of flow systems with configuration," International journal of heat and mass transfer, vol. 47, pp. 32033214, 2004.
連結：

[20] A. Bejan and S. Lorente, "Constructal law of design and evolution: Physics, biology, technology, and society," Journal of Applied Physics, vol. 113, p. 151301, 2013.
連結：

[21] A. Bejan, "Design in nature, thermodynamics, and the constructal law: Comment on “Life, hierarchy, and the thermodynamic machinery of planet Earth” by A. Kleidon," Physics of life reviews, vol. 7, pp. 467470, 2010.
連結：

[25] A. G. M. Michell, "LVIII. The limits of economy of material in framestructures," The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, vol. 8, pp. 589597, 1904.
連結：

[28] J. Owen and B. Brynmor, The analysis and design of light structures: Elsevier, 1965.
連結：

[29] W. S. Hemp, Optimum structures: Clarendon Press, 1973.
連結：

[30] M. P. Bendsøe and N. Kikuchi, "Generating optimal topologies in structural design using a homogenization method," Computer Methods in Applied Mechanics and Engineering, vol. 71, pp. 197224, 1988.
連結：

[31] G. Rozvany and T. Lewinski, Topology optimization in structural and continuum mechanics: Springer, 2014.
連結：

[32] J. M. Wing, "Computational thinking," Communications of the ACM, vol. 49, pp. 3335, 2006.
連結：

[35] L. L. Stromberg, A. Beghini, W. F. Baker, and G. H. Paulino, "Application of layout and topology optimization using pattern gradation for the conceptual design of buildings," Structural and Multidisciplinary Optimization, vol. 43, pp. 165180, 2011.
連結：

[39] H. A. Eschenauer and N. Olhoff, "Topology optimization of continuum structures: A review," Applied Mechanics Reviews, vol. 54, pp. 331390, 2001.
連結：

[40] Y.M. Xie and G. P. Steven, Basic evolutionary structural optimization: Springer, 1997.
連結：

[41] X. Huang and M. Xie, Evolutionary topology optimization of continuum structures: methods and applications: John Wiley & Sons, 2010.
連結：

[42] R. Meric, "Shape design sensitivity analysis for non‐linear anisotropic heat conducting solids and shape optimization by the BEM," International Journal for Numerical Methods in Engineering, vol. 26, pp. 109120, 1988.
連結：

[43] M. Zhou and G. Rozvany, "On the validity of ESO type methods in topology optimization," Structural and Multidisciplinary Optimization, vol. 21, pp. 8083, 2001.
連結：

[44] G. Rozvany, "A critical review of established methods of structural topology optimization," Structural and Multidisciplinary Optimization, vol. 37, pp. 217237, 2009.
連結：

[45] G. I. Rozvany, "A critical review of established methods of structural topology optimization," Structural and Multidisciplinary Optimization, vol. 37, pp. 217237, 2009.
連結：

[46] J. D. Deaton and R. V. Grandhi, "A survey of structural and multidisciplinary continuum topology optimization: post 2000," Structural and Multidisciplinary Optimization, vol. 49, pp. 138, 2014.
連結：

[47] S. Osher and J. A. Sethian, "Fronts propagating with curvaturedependent speed: algorithms based on HamiltonJacobi formulations," Journal of Computational Physics, vol. 79, pp. 1249, 1988.
連結：

[48] J. A. Sethian, Level set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science vol. 3: Cambridge University press, 1999.
連結：

[49] S. Osher and R. Fedkiw, Level set methods and dynamic implicit surfaces vol. 153: Springer Science, 2006.
連結：

[50] J. A. Sethian and A. Wiegmann, "Structural boundary design via level set and immersed interface methods," Journal of Computational Physics, vol. 163, pp. 489528, 2000.
連結：

[51] S. J. Osher and F. Santosa, "Level set methods for optimization problems involving geometry and constraints: I. frequencies of a twodensity inhomogeneous drum," Journal of Computational Physics, vol. 171, pp. 272288, 2001.
連結：

[53] D. Makhija and K. Maute, "Numerical instabilities in level set topology optimization with the extended finite element method," Structural and Multidisciplinary Optimization, vol. 49, pp. 185197, 2014.
連結：

[54] Z. Luo, N. Zhang, W. Gao, and H. Ma, "Structural shape and topology optimization using a meshless Galerkin level set method," International Journal for Numerical Methods in Engineering, vol. 90, pp. 369389, 2012.
連結：

[55] M. Y. Wang, X. Wang, and D. Guo, "A level set method for structural topology optimization," Computer Methods in Applied Mechanics and Engineering, vol. 192, pp. 227246, 2003.
連結：

[56] P. D. Dunning and A. H. Kim, "A new hole insertion method for level set based structural topology optimization," International Journal for Numerical Methods in Engineering, vol. 93, pp. 118134, 2013.
連結：

[57] L.Q. Chen, "Phasefield models for microstructure evolution," Annual Review of Materials Research, vol. 32, pp. 113140, 2002.
連結：

[58] A. Takezawa, S. Nishiwaki, and M. Kitamura, "Shape and topology optimization based on the phase field method and sensitivity analysis," Journal of Computational Physics, vol. 229, pp. 26972718, 2010.
連結：

[59] M. Y. Wang and S. Zhou, "Phase field: a variational method for structural topology optimization," Comp. Model Eng. Sci., vol. 6, pp. 547566, 2004.
連結：

[61] M. Zhou and G. Rozvany, "The COC algorithm, Part II: topological, geometrical and generalized shape optimization," Computer Methods in Applied Mechanics and Engineering, vol. 89, pp. 309336, 1991.
連結：

[62] M. P. Bendsøe, "Optimal shape design as a material distribution problem," Structural optimization, vol. 1, pp. 193202, 1989.
連結：

[63] M. P. Bendsøe and O. Sigmund, "Material interpolation schemes in topology optimization," Archive of applied mechanics, vol. 69, pp. 635654, 1999.
連結：

[64] O. Sigmund, "A 99 line topology optimization code written in Matlab," Structural and Multidisciplinary Optimization, vol. 21, pp. 120127, 2001.
連結：

[65] K. Liu and A. Tovar, "An efficient 3D topology optimization code written in Matlab," Structural and Multidisciplinary Optimization, vol. 50, pp. 11751196, 2014.
連結：

[66] M. P. Bendsoe and O. Sigmund, "Topology optimization: theory, methods and applications," ed. Berlin: Springer, 2003.
連結：

[67] K. Svanberg, "The method of moving asymptotes a new method for structural optimization," International Journal for Numerical Methods in Engineering, vol. 24, pp. 359373, 1987.
連結：

[68] M. P. Bendsoe, "Optimal shape design as a material distribution problem," Structural Optimization, vol. 1, pp. 193202, 1989.
連結：

[69] G. Rozvany, M. Zhou, and T. Birker, "Generalized shape optimization without homogenization," Structural Optimization, vol. 4, pp. 250252, 1992.
連結：

[70] O. Sigmund and J. Petersson, "Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, meshdependencies and local minima," Structural Optimization, vol. 16, pp. 6875, 1998.
連結：

[71] R. B. Haber, C. S. Jog, and M. P. Bendsøe, "A new approach to variabletopology shape design using a constraint on perimeter," Structural Optimization, vol. 11, pp. 112, 1996.
連結：

[72] O. Sigmund, "On the design of compliant mechanisms using topology optimization*," Journal of Structural Mechanics, vol. 25, pp. 493524, 1997.
連結：

[73] A. Diaz and O. Sigmund, "Checkerboard patterns in layout optimization," Structural Optimization, vol. 10, pp. 4045, 1995.
連結：

[74] C. S. Jog and R. B. Haber, "Stability of finite element models for distributedparameter optimization and topology design," Computer Methods in Applied Mechanics and Engineering, vol. 130, pp. 203226, 1996.
連結：

[76] T. E. Bruns and D. A. Tortorelli, "Topology optimization of nonlinear elastic structures and compliant mechanisms," Computer Methods in Applied Mechanics and Engineering, vol. 190, pp. 34433459, 2001.
連結：

[77] O. Sigmund and K. Maute, "Sensitivity filtering from a continuum mechanics perspective," Structural and Multidisciplinary Optimization, vol. 46, pp. 471475, 2012.
連結：

[78] J. K. Guest, J. H. Prévost, and T. Belytschko, "Achieving minimum length scale in topology optimization using nodal design variables and projection functions," International Journal for Numerical Methods in Engineering, vol. 61, pp. 238254, 2004.
連結：

[79] O. Sigmund, "Morphologybased black and white filters for topology optimization," Structural and Multidisciplinary Optimization, vol. 33, pp. 401424, 2007.
連結：

[80] F. Wang, B. S. Lazarov, and O. Sigmund, "On projection methods, convergence and robust formulations in topology optimization," Structural and Multidisciplinary Optimization, vol. 43, pp. 767784, 2011.
連結：

[82] J. K. Guest, A. Asadpoure, and S.H. Ha, "Eliminating betacontinuation from heaviside projection and density filter algorithms," Structural and Multidisciplinary Optimization, vol. 44, pp. 443453, 2011.
連結：

[83] B. S. Lazarov and O. Sigmund, "Filters in topology optimization based on Helmholtz‐type differential equations," International Journal for Numerical Methods in Engineering, vol. 86, pp. 765781, 2011.
連結：

[84] J. D. Deaton and R. V. Grandhi, "Stiffening of restrained thermal structures via topology optimization," Structural and Multidisciplinary Optimization, vol. 48, pp. 731745, 2013.
連結：

[85] O. Sigmund and K. Maute, "Topology optimization approaches," Structural and Multidisciplinary Optimization, vol. 48, pp. 10311055, 2013.
連結：

[87] H. Rodrigues and P. Fernandes, "Topology optimal design of thermoelastic structures using a homogenization method," Control and Cybernetics, vol. 23, 1994.
連結：

[88] H. Rodrigues and P. Fernandes, "A material based model for topology optimization of thermoelastic structures," International Journal for Numerical Methods in Engineering, vol. 38, pp. 19511965, 1995.
連結：

[89] C. Jog, "Distributedparameter optimization and topology design for nonlinear thermoelasticity," Computer Methods in Applied Mechanics and Engineering, vol. 132, pp. 117134, 1996.
連結：

[91] Q. Li, G. P. Steven, O. M. Querin, and Y. Xie, "Shape and topology design for heat conduction by evolutionary structural optimization," International Journal of Heat and Mass Transfer, vol. 42, pp. 33613371, 1999.
連結：

[92] S. Turteltaub, "Optimal material properties for transient problems," Structural and Multidisciplinary Optimization, vol. 22, pp. 157166, 2001.
連結：

[93] J. Haslinger, A. Hillebrand, T. Kärkkäinen, and M. Miettinen, "Optimization of conducting structures by using the homogenization method," Structural and Multidisciplinary Optimization, vol. 24, pp. 125140, 2002.
連結：

[94] X. Cheng, Z. Li, and Z. Guo, "Constructs of highly effective heat transport paths by bionic optimization," Science in China Series E: Technological Sciences, vol. 46, pp. 296302, 2003.
連結：

[97] Z. Guo, X. Cheng, and Z. Xia, "Least dissipation principle of heat transport potential capacity and its application in heat conduction optimization," Chinese Science Bulletin, vol. 48, pp. 406410, 2003.
連結：

[98] Q. Li, G. P. Steven, Y. M. Xie, and O. M. Querin, "Evolutionary topology optimization for temperature reduction of heat conducting fields," International Journal of Heat and Mass Transfer, vol. 47, pp. 50715083, 2004.
連結：

[100] Y. Ha, M.G. Kim, and S. Cho, "Topology optimization of nonlinear heat conduction problems using adjoint design sensitivity analysis method," 2004.
連結：

[101] H. Moon, C. Kim, and S. Wang, "Reliabilitybased topology optimization of thermal systems considering convection heat transfer," in 10th AIAA/ISSMO multidisciplinary analysis and optimization conference. , New York, 2004, pp. 301.
連結：

[102] G. Ho Yoon and Y. Young Kim, "The element connectivity parameterization formulation for the topology design optimization of multiphysics systems," International Journal for Numerical Methods in Engineering, vol. 64, pp. 16491677, 2005.
連結：

[103] S.H. Ha and S. Cho, "Topological shape optimization of heat conduction problems using level set approach," Numerical Heat Transfer, Part B: Fundamentals, vol. 48, pp. 6788, 2005.
連結：

[104] A. GersborgHansen, M. P. Bendsøe, and O. Sigmund, "Topology optimization of heat conduction problems using the finite volume method," Structural and Multidisciplinary Optimization, vol. 31, pp. 251259, 2006.
連結：

[105] A. Donoso, "Numerical simulations in 3D heat conduction: minimizing the quadratic mean temperature gradient by an optimality criteria method," SIAM Journal on Scientific Computing, vol. 28, pp. 929941, 2006.
連結：

[106] C. Zhuang, Z. Xiong, and H. Ding, "A level set method for topology optimization of heat conduction problem under multiple load cases," Computer Methods in Applied Mechanics and Engineering, vol. 196, pp. 10741084, 2007.
連結：

[107] X. Xu, X. Liang, and J. Ren, "Optimization of heat conduction using combinatorial optimization algorithms," International Journal of Heat and Mass Transfer, vol. 50, pp. 16751682, 2007.
連結：

[108] F. MathieuPotvin and L. Gosselin, "Optimal conduction pathways for cooling a heatgenerating body: A comparison exercise," International Journal of Heat and Mass Transfer, vol. 50, pp. 29963006, 2007.
連結：

[109] T. E. Bruns, "Topology optimization of convectiondominated, steadystate heat transfer problems," International Journal of Heat and Mass Transfer, vol. 50, pp. 28592873, 2007.
連結：

[110] M. S. Kim, S. R. Kim, S. Y. Han, and B. J. Yi, "Topology optimization of a PCB substrate considering mechanical constraints and heat conductivity," Journal of Mechanical Science and Technology, vol. 21, pp. 20412047, 2007.
連結：

[111] C. Zhuang, Z. Xiong, and H. Ding, "Minimizing the quadratic mean temperature gradient for the heatconduction problem using the levelset method," in Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2007, pp. 235248.
連結：

[112] S. M. Yoo and Y. Y. Kim, "The Topology Optimization of Threedimensional Cooling Fins by the Internal Element Connectivity Parameterization Method," 2007.
連結：

[113] D. He and S. Liu, "BESO method for topology optimization of structures with high efficiency of heat dissipation," International Journal for Simulation and Multidisciplinary Design Optimization, vol. 2, pp. 4348, 2008.
連結：

[114] T. Gao, W. H. Zhang, J. H. Zhu, Y. J. Xu, and D. H. Bassir, "Topology optimization of heat conduction problem involving designdependent heat load effect," Finite Elements in Analysis and Design, vol. 44, pp. 805813, 2008.
連結：

[115] Y. Zhang and S. Liu, "Design of conducting paths based on topology optimization," Heat and Mass Transfer, vol. 44, pp. 12171227, 2008.
連結：

[116] S. Yamasaki, S. Nishiwaki, T. Yamada, K. Izui, and M. Yoshimura, "A New Structural Optimization Method Based on the Level Set Method for Vibration Problems and Heat Conduction Problems," in 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, 2008.
連結：

[117] A. Iga, S. Nishiwaki, K. Izui, and M. Yoshimura, "Topology optimization for thermal conductors considering designdependent effects, including heat conduction and convection," International Journal of Heat and Mass Transfer, vol. 52, pp. 27212732, 2009.
連結：

[118] C. T. M. Anflor and R. J. Marczak, "A boundary element approach for topology design in diffusive problems containing heat sources," International Journal of Heat and Mass Transfer, vol. 52, pp. 46044611, 2009.
連結：

[120] M.G. Kim, S.H. Ha, and S. Cho, "Level SetBased Topological Shape Optimization of Nonlinear Heat Conduction Problems Using Topological Derivatives," Mechanics based design of structures and machines, vol. 37, pp. 550582, 2009.
連結：

[121] G. Pingen and D. Meyer, "Topology optimization for thermal transport," in ASME 2009 Fluids Engineering Division Summer Meeting, 2009, pp. 22372243.
連結：

[122] G. H. Yoon, "Topological design of heat dissipating structure with forced convective heat transfer," Journal of Mechanical Science and Technology, vol. 24, pp. 12251233, 2010.
連結：

[123] M.G. Kim, J.H. Kim, and S. Cho, "Topology Design Optimization of Heat Conduction Problems using Adjoint Sensitivity Analysis Method," Computational Structural Engineering Institute of Korea, vol. 23, pp. 683691, 2010.
連結：

[124] E. M. Dede, "Multiphysics optimization, synthesis, and application of jet impingement target surfaces," in 12th IEEE Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems (ITherm), 2010, pp. 17.
連結：

[125] C. Zhuang, Z. Xiong, and H. Ding, "Topology optimization of multimaterial for the heat conduction problem based on the level set method," Engineering Optimization, vol. 42, pp. 811831, 2010.
連結：

[126] T. Yamada, K. Izui, and S. Nishiwaki, "A level setbased topology optimization method for maximizing thermal diffusivity in problems including designdependent effects," Journal of Mechanical Design, vol. 133, p. 031011, 2011.
連結：

[127] Y. Zhang, Design of the heat conduction structure based on the topology optimization.
連結：

[129] E. PapoutsisKiachagias, E. Kontoleontos, A. Zymaris, D. Papadimitriou, and K. Giannakoglou, "Constrained topology optimization for laminar and turbulent flows, including heat transfer," presented at the Evolutionary and Deterministic Methods for Design, Optimization and Control, 2011.
連結：

[130] G. Marck, M. Nemer, J.L. Harion, S. Russeil, and D. Bougeard, "Topology optimization using the SIMP method for multiobjective conductive problems," Numerical Heat Transfer, Part B: Fundamentals, vol. 61, pp. 439470, 2012.
連結：

[131] E. M. Dede, "Optimization and design of a multipass branching microchannel heat sink for electronics cooling," Journal of Electronic Packaging, vol. 134, p. 041001, 2012.
連結：

[133] K. Lee, "Topology optimization of convective cooling system designs," The University of Michigan, 2012.
連結：

[134] A. A. Koga, E. C. C. Lopes, H. F. V. Nova, C. R. de Lima, and E. C. N. Silva, "Development of heat sink device by using topology optimization," International Journal of Heat and Mass Transfer, vol. 64, pp. 759772, 2013.
連結：

[135] F. H. Burger, J. Dirker, and J. P. Meyer, "Threedimensional conductive heat transfer topology optimisation in a cubic domain for the volumetosurface problem," International Journal of Heat and Mass Transfer, vol. 67, pp. 214224, 2013.
連結：

[136] C. Zhuang, Z. Xiong, and H. Ding, "Topology optimization of the transient heat conduction problem on a triangular mesh," Numerical Heat Transfer, Part B: Fundamentals, vol. 64, pp. 239262, 2013.
連結：

[137] J. Dirker and J. P. Meyer, "Topology optimization for an internal heatconduction cooling scheme in a square domain for high heat flux applications," Journal of Heat Transfer, vol. 135, p. 111010, 2013.
連結：

[138] G. Marck, M. Nemer, and J.L. Harion, "Topology optimization of heat and mass transfer problems: laminar flow," Numerical Heat Transfer, Part B: Fundamentals, vol. 63, pp. 508539, 2013.
連結：

[139] G. JING, T. MATSUMOTO, T. TAKAHASHI, H. ISAKARI, and T. YAMADA, "Topology optimization for 2D heat conduction problems using boundary element method and level set method," Transactions of JASCOME, vol. 13, p. 6, 2013.
連結：

[140] T. Matsumori, T. Kondoh, A. Kawamoto, and T. Nomura, "Topology optimization for fluid–thermal interaction problems under constant input power," Structural and Multidisciplinary Optimization, vol. 47, pp. 571581, 2013.
連結：

[141] E. Kontoleontos, E. PapoutsisKiachagias, A. Zymaris, D. Papadimitriou, and K. Giannakoglou, "Adjointbased constrained topology optimization for viscous flows, including heat transfer," Engineering Optimization, vol. 45, pp. 941961, 2013.
連結：

[142] C. Zhuang and Z. Xiong, "A global heat compliance measure based topology optimization for the transient heat conduction problem," Numerical Heat Transfer, Part B: Fundamentals, vol. 65, pp. 445471, 2014.
連結：

[143] C.H. Cheng and Y.F. Chen, "Topology optimization of heat conduction paths by a nonconstrained volumeofsolid function method," International Journal of Thermal Sciences, vol. 78, pp. 1625, 2014.
連結：

[145] E. M. Dede, T. Nomura, and J. Lee, "Thermalcomposite design optimization for heat flux shielding, focusing, and reversal," Structural and Multidisciplinary Optimization, vol. 49, pp. 5968, 2014.
連結：

[146] J. Alexandersen, N. Aage, C. S. Andreasen, and O. Sigmund, "Topology optimisation for natural convection problems," International Journal for Numerical Methods in Fluids, vol. 76, pp. 699721, 2014.
連結：

[147] D. Lee, "Topology Optimization of Multimaterial with Heat Conduction Problem," 2014.
連結：

[148] G. Jing, H. Isakari, T. Matsumoto, T. Yamada, and T. Takahashi, "Topological sensitivity of the objective function defined on morphing boundaries of twodimensional heat conduction problems," Boundary Elements and Other Mesh Reduction Methods, vol. 57, p. 3, 2014.
連結：

[149] K. Yaji, T. Yamada, S. Kubo, K. Izui, and S. Nishiwaki, "A topology optimization method for a coupled thermal–fluid problem using level set boundary expressions," International Journal of Heat and Mass Transfer, vol. 81, pp. 878888, 2015.
連結：

[150] C. Zhuang and Z. Xiong, "TemperatureConstrained Topology Optimization of Transient Heat Conduction Problems," Numerical Heat Transfer, Part B: Fundamentals, vol. 68, pp. 366385, 2015.
連結：

[151] G. Jing, H. Isakari, T. Matsumoto, T. Yamada, and T. Takahashi, "Level setbased topology optimization for 2D heat conduction problems using BEM with objective function defined on designdependent boundary with heat transfer boundary condition," Engineering Analysis with Boundary Elements, vol. 61, pp. 6170, 2015.
連結：

[152] C.H. Cheng and Y.F. Chen, "Topology optimization of conduction path in laminated metals composite materials," International Journal of Thermal Sciences, vol. 96, pp. 183190, 2015.
連結：

[153] E. M. Dede, S. N. Joshi, and F. Zhou, "Topology Optimization, Additive Layer Manufacturing, and Experimental Testing of an AirCooled Heat Sink," Journal of Mechanical Design, vol. 137, p. 111403, 2015.
連結：

[154] J. Alexandersen, "Topology optimisation of passive coolers for lightemitting diode lamps," 11th World Congress of Structural and Multidisciplinary Optimisation, 2015.
連結：

[155] D. J. Lohan, E. M. Dede, and J. T. Allison, "Topology Optimization for Heat Conduction Using Generative Design Algorithms," 2015.
連結：

[156] G. Jing, "A study on topology optimization for twodimensional steadystate heat conduction problems using Boundary Element Method," Doctor of Engineering, Nagoya University, Japan, 2015.
連結：

[157] E. M. Dede, "Design Optimization of a MultiDevice SinglePhase Branching Microchannel Cold Plate," 2015.
連結：

[158] M. Stolpe and K. Svanberg, "On the trajectories of penalization methods for topology optimization," Structural and Multidisciplinary Optimization, vol. 21, pp. 128139, 2001.
連結：

[159] G. Rozvany, "Aims, scope, methods, history and unified terminology of computeraided topology optimization in structural mechanics," Structural and Multidisciplinary Optimization, vol. 21, pp. 90108, 2001.
連結：

[160] M. Zhou and G. Rozvany, A new discretized optimality criteria method in structural optimization: AIAA, 1992.
連結：

[161] G. Rozvany, M. P. Bendsoe, and U. Kirsch, "Layout optimization of structures," Applied Mechanics Reviews, vol. 48, pp. 41119, 1995.
連結：

[162] G. Rozvany and M. Zhou, "Applications of the COC algorithm in layout optimization," in Engineering Optimization in Design Processes, ed: Springer, 1991, pp. 5970.
連結：

[163] M. P. Rossow and J. E. Taylor, "A finite element method for the optimal design of variable thickness sheets," AIAA Journal, vol. 11, pp. 15661569, 1973.
連結：

[164] O. Sigmund, "Materials with prescribed constitutive parameters: an inverse homogenization problem," International Journal of Solids and Structures, vol. 31, pp. 23132329, 1994.
連結：

[165] V. Challis, A. Roberts, and A. Wilkins, "Design of three dimensional isotropic microstructures for maximized stiffness and conductivity," International Journal of Solids and Structures, vol. 45, pp. 41304146, 2008.
連結：

[166] J. K. Carson, "Prediction of the Thermal Conductivity of Porous Foods," Doctor of Philosophy in Food Engineering Diss., Food Engineering, Massey University, New Zealand, 2002.
連結：

[169] W. Woodside and J. Messmer, "Thermal conductivity of porous media. Consolidated rocks," Journal of Applied Physics, vol. 32, 1961.
連結：

[170] Z. Hashin and S. Shtrikman, "A variational approach to the theory of the effective magnetic permeability of multiphase materials," Journal of Applied Physics, vol. 33, pp. 31253131, 1962.
連結：

[172] A. Aharony and D. Stauffer, Introduction to percolation theory: Taylor & Francis, 2003.
連結：

[173] H. T. Davis, L. R. Valencourt, and C. E. Johnson, "Transport processes in composite media," Journal of the American Ceramic Society, vol. 58, pp. 446452, 1975.
連結：

[174] H. Davis, L. Valencourt, and C. Johnson, "Transport processes in composite media," Journal of the American Ceramic Society, vol. 58, pp. 446452, 1975.
連結：

[175] J. K. Carson, S. J. Lovatt, D. J. Tanner, and A. C. Cleland, "Thermal conductivity bounds for isotropic, porous materials," International Journal of Heat and Mass Transfer, vol. 48, pp. 21502158, 5// 2005.
連結：

[177] A. Bejan and J. P. Zane, "Design in Nature: How the Constructal Law Governs Evolution in Biology," Physics, Technology, and Social Organization, pp. 2655, 2012.
連結：

[178] A. Bejan and G. W. Merkx, Constructal theory of social dynamics: Springer, 2007.
連結：

[179] A. Bejan and S. Lorente, "The constructal law and the design of the biosphere: nature and globalization," Journal of Heat Transfer, vol. 133, p. 011001, 2011.
連結：

[180] H. Kobayashi, S. Lorente, R. Anderson, and A. Bejan, "Trees and serpentines in a conducting body," International Journal of Heat and Mass Transfer, vol. 56, pp. 488494, 1/1/ 2013.
連結：

[181] N. Aage, E. Andreassen, and B. S. Lazarov, "Topology optimization using PETSc: An easytouse, fully parallel, open source topology optimization framework," Structural and Multidisciplinary Optimization, vol. 51, pp. 565572, 2015.
連結：

[184] A. Bejan, Shape and structure, from engineering to nature: Cambridge university press, 2000.
連結：

[185] L. Rocha, S. Lorente, and A. Bejan, "Conduction tree networks with loops for cooling a heat generating volume," International journal of heat and mass transfer, vol. 49, pp. 26262635, 2006.
連結：

[186] J. Sharp, "The Creeping Garden: Articulating the Science of Slime Mould on Film," in Advances in Physarum Machines, ed: Springer, 2016, pp. 789800.
連結：

[187] T. Maekawa and N. M. Patrikalakis, "Computation of singularities and intersections of offsets of planar curves," Computer Aided Geometric Design, vol. 10, pp. 407429, 1993.
連結：

[190] A. Bejan and S. Lorente, "The constructal law and the evolution of design in nature," Physics of life Reviews, vol. 8, pp. 209240, 2011.
連結：

[191] A. H. Reis, "Constructal theory: from engineering to physics, and how flow systems develop shape and structure," Applied mechanics reviews, vol. 59, pp. 269282, 2006.
連結：

[1] K. S. Hsu, M. C. E. Manuel, S.P. Lin, and P. T. Lin, "Measurement of Energy Efficiency of A Robustly Designed LiquidImpinging Thermoelectric Cooler (LITEC)," presented at the CrossStrait Conference on Measurement and Inspection Technologies 2015, CSCMIT 2015, Chungli, Taoyuan, Taiwan, 2015.

[2] K. S. Hsu, M. C. E. Manuel, S.P. Lin, Z. Li, and P. T. Lin, "Robust Design Optimization of A LiquidImpinging Thermoelectric Cooler (LITEC)," presented at the International Symposium on Reliability Engineering and Risk Management 2014, ISRERM 2014, Taipei, Taiwan, 2014.

[3] K. S. Hsu, M. C. E. Manuel, and P. T. Lin, "Numerical Simulations of a SwirledLiquid Impinging Thermoelectric Cooler (SLITEC)," presented at the The 18th International Conference on Finite Elements in Flow Problems, Taipei, Taiwan, 2015.

[4] K. S. Hsu, M. C. E. Manuel, and P. T. Lin, "3D Printed Swirled Liquid Impinging Cooler," presented at the 2014 Innovative Design Contest, IDC’14, Taipei, Taiwan, 2014.

[5] M. Gross, "Now More Than Ever: Computational thinking and a science of design (< Special Issue> What is" What's the Design"?)", vol. 16, pp. 5054, 2009.

[6] M. C. Manuel and P. T. Lin, "Insights on Automated Design using Topology Optimization and Its Implications on Tangible Design," in 2015 Asia Design Engineering Workshop (2015 ADEWS), 2015, pp. 6266.

[8] M. P. Bendsoe, "Optimization of structural topology, shape, and material," ed: Springer, 1995.

[11] R. B. Keey, Drying: principles and practice vol. 13: Elsevier, 2013.

[14] G. C. J. Bart, Thermal conduction in nonhomogeneous and phase change media: TU Delft, Delft University of Technology, 1994.

[22] E. Andreassen, A. Clausen, M. Schevenels, B. S. Lazarov, and O. Sigmund, "Efficient topology optimization in MATLAB using 88 lines of code," Structural and Multidisciplinary Optimization, vol. 43, pp. 116, 2011.

[23] N. Aage, M. NobelJørgensen, C. S. Andreasen, and O. Sigmund, "Interactive topology optimization on handheld devices," Structural and Multidisciplinary Optimization, vol. 47, pp. 16, 2013.

[24] N. Aage, "TopOpt 3D UserGuide," 2014.

[26] H. L. Cox, The theory of design: MIT, 1958.

[27] H. L. Cox, The Design of Structures of Least Weight. New York: Pergamon Press, 1965.

[33] M. Cavazzuti and L. Splendi, "Structural Optimization of Automotive Chassis: Theory, Set Up, Design," Italy: Universita degli Studi di Modena e Reggio Emila, 2011.

[34] L. Frattari, "The Structural Form: Topology Optimization in Architecture and Industrial Design," Dottorato di ricerca in" Architettura e Design", School of Advanced Studies, 2011.

[36] C. Othmer, T. Kaminski, and R. Giering, "Computation of topological sensitivities in fluid dynamics: cost function versatility," in ECCOMAS CFD 2006: Proceedings of the European Conference on Computational Fluid Dynamics, Egmond aan Zee, The Netherlands, September 58, 2006, 2006.

[37] M. Stephan, P. Häußler, and M. Böhm, "CFD Topology Optimization of Automotive Components " presented at the 4th European Automotive Simulation Conference, Munich, Germany, 2009.

[38] M. C. Manuel and P. T. Lin, "Optimal Duct Layout using Topology Optimization," in The 13th Asia Pacific Conference on the Built Environment, Hong Kong, 2015, p. 35.

[52] N. P. van Dijk, K. Maute, M. Langelaar, and F. Van Keulen, "Levelset methods for structural topology optimization: a review," Structural and Multidisciplinary Optimization, vol. 48, pp. 437472, 2013.

[60] B. Bourdin and A. Chambolle, "The phasefield method in optimal design," in IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials, 2006, pp. 207215.

[75] B. Bourdin, "Filters in topology optimization," International Journal for Numerical Methods in Engineering, vol. 50, pp. 21432158, 2001.

[81] X. Qian, "Topology optimization in Bspline space," Computer Methods in Applied Mechanics and Engineering, vol. 265, pp. 1535, 2013.

[86] Thomson Reuters. (Dec. 2015). Citation Reports. Available at: http://apps.webofknowledge.com/

[90] G. A. Ledezma, A. Bejan, and M. R. Errera, "Constructal tree networks for heat transfer," Journal of Applied Physics, vol. 82, pp. 89100, 1997.

[95] A. A. Novotny, R. A. Feijóo, E. Taroco, and C. Padra, "Topological sensitivity analysis," Computer Methods in Applied Mechanics and Engineering, vol. 192, pp. 803829, 2003.

[96] T. Borrvall and J. Petersson, "Topology optimization of fluids in Stokes flow," International Journal for Numerical Methods in Fluids, vol. 41, pp. 77107, 2003.

[99] E. Alberto and O. Sigmund, "Topology optimization of multiple physics problems modelled by Poisson's equation," Latin American Journal of Solids and Structures, vol. 1, pp. 169184, 2004.

[119] E. M. Dede, "Multiphysics topology optimization of heat transfer and fluid flow systems," in COMSOL Users Conference, Boston, 2009.

[128] J. C. Li, W. T. Tu, X. D. Yang, J. Fu, and Y. T. Wang, "Heat Conduction Structural Topology Optimization Based on RAMP," in Applied Mechanics and Materials, 2011, pp. 16921697.

[132] M. M. Gregersen, A. Evgrafov, and M. P. Sorensen, "Finite Volume Based Topology Optimization of Coupled Fluid Dynamic and Thermal Conduction Systems," presented at the Conference on Industrial Design Optimisation for Fluid Flow, Munich, 2012.

[144] T. Van Oevelen and M. Baelmans, "Application of topology optimization in a conjugate heat transfer problem," in 1st International Conference on Engineering and Applied Sciences Optimization, 2014, pp. 562577.

[167] A. C. Cleland, Food Refrigeration Processes Analysis, Design and Simulation. London Elsevier, 1990.

[168] ASHRAE;, ASHRAE Handbook of Refrigeration. Atlanta, USA: ASHRAE, 1998.

[171] J. M. Hammersley and D. Welsh, "Origins of percolation theory," Annals of the Israel Physical Society, vol. 5, p. 9, 1983.

[176] A. Bejan and S. Lorente, "The constructal law of design and evolution in nature," Philosophical Transactions of the Royal Society of London B: Biological Sciences, vol. 365, pp. 13351347, 2010.

[182] M. P. Bendsoe and O. Sigmund, Topology optimization: theory, methods, and applications: Springer Science & Business Media, 2013.

[183] K. Svanberg, "MMA and GCMMA, versions September 2007," Optimization and Systems Theory, 2007.

[188] R. Courant and K. O. Friedrichs, Supersonic flow and shock waves vol. 21: Springer Science & Business Media, 1999.

[189] G. Vantyghem, W. de Corte, V. Boel, and M. Steeman, "Structural and thermal performance of topological optimizaed mansonry blocks," in Asian Congress of Structural and Multidisciplinary Optimization 2016 (ACSMO 2016), Nagasaki, Japan, 2016, p. 107.

[192] K. Svanberg. (2007). MMA and GCMMA. Available: http://www.math.kth.se/~krille/gcmma07.pdf
