2021
DOI: 10.1016/j.apm.2020.09.030
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Computational design of thermo-mechanical metadevices using topology optimization

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Cited by 18 publications
(16 citation statements)
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“…20 The elastic matrix is interpolated as a whole in more recent papers. 10,28,33,35,52,53 Here, the temperature-dependent elastic matrix D(T) is fitted as:…”
Section: Polynomial Fitting Of Discrete Temperature-dependent Materia...mentioning
confidence: 99%
See 1 more Smart Citation
“…20 The elastic matrix is interpolated as a whole in more recent papers. 10,28,33,35,52,53 Here, the temperature-dependent elastic matrix D(T) is fitted as:…”
Section: Polynomial Fitting Of Discrete Temperature-dependent Materia...mentioning
confidence: 99%
“…In fact, variations of Poisson's ratio can lead to significant changes in thermal stress 20 . The elastic matrix is interpolated as a whole in more recent papers 10,28,33,35,52,53 . Here, the temperature‐dependent elastic matrix D ( T ) is fitted as: boldD(T)goodbreak=k=0Nfalse(Dfalse)1.15emCkTk,$$ \mathbf{D}(T)=\sum \limits_{k=0}^{N^{(D)}-1}\kern.15em {\mathbf{C}}_k{T}^k, $$ where C k is the coefficient matrix and N ( D ) is the defined number of coefficient matrices.…”
Section: Thermo‐elastic Problems Under Large Temperature Gradientmentioning
confidence: 99%
“…We haven't covered numerical optimization in this review, the general and powerful tool in inverse problems, which have been used in inverse design of linear thermal metamaterials and other functional devices [269][270][271][272][273][274][275]. Some works have also studied multi-physical [276,277] cases including nonlinear thermo-mechanical metadevices [276]. Since it's usually not easy to do analytical calculations in nonlinear equations and the transformation theory might have restrictions on the forms of equations and target solutions, numerical optimization based on various algorithms, whether they're gradient-based [270,[274][275][276] or black boxes [271][272][273]277], can have potential applications to more flexible designs of nonlinear thermal elements.…”
Section: Summary and Perspectivesmentioning
confidence: 99%
“…Nowadays, the increasing development of metamaterials and metadevices (devices made of metamaterials or that macroscopically behave as such) allows the manipulation of several physical fields in extreme and unprecedented ways. Such an outstanding potential of both metamaterials and metadevices has found noteworthy applications in optics and electromagnetism [1] , sounds and vibrations [2,3] , heat transfer [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] , mass transfer [22][23][24][25] , mechanics [26][27][28] and thermomechanics [29][30][31] . Most of the metamaterials conceived for the aforementioned applications have been designed using the standard coordinates transformation approach originally introduced by Leonhardt [32] and Pendry [33] in the context of electromagnetism, whose particular implementation in the search for invariant forms of the heat conduction equation for several conductive heat flux manipulation purposes has given rise to the concept of transformation thermodynamics (TT) [18,34,35] .…”
Section: Introductionmentioning
confidence: 99%
“…Later, also Fachinotti et al [28] successfully extended such idea to the design of easyto-make elastostatic cloaking devices based on two piecewise macroscopically distinguishable isotropic materials with contrasting elastic properties. Subsequently, Álvarez-Hostos et al [31] used the SIMP method in the TOMD approach in order to conceive easy-to-make thermo-mechanical cloaking devices. Such metadevices were designed allowing the dependence of elastic moduli with temperature, which was actually an unprecedented contribution to the design of thermo-mechanical metadevices.…”
Section: Introductionmentioning
confidence: 99%