Optimization-based design of easy-to-make devices for heat flux manipulation

Fachinotti, Víctor D.; Ciarbonetti, Ángel A.; Peralta, Ignacio; Rintoul, Ignacio

doi:10.1016/j.ijthermalsci.2018.02.009

Cited by 35 publications

(36 citation statements)

References 28 publications

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“…3(g) , let us apply the simple a posteriori black-and-white filter proposed by Fachinotti et al . 17 : if the aluminum fraction at an element is greater than a certain threshold ϕ * ∈ (0, 1), the element is assumed to be fully made of aluminum; otherwise, it is made of PTFE. By this way, the device becomes easier to fabricate at the expense of deteriorating the accomplishment of the cloaking task since the material distribution is not longer optimal.…”

Section: Resultsmentioning

confidence: 99%

“…In previous works 17 , 18 , we introduced the idea of considering a device for heat flux manipulation to behave as a metamaterial as a whole but being made of a few simple even isotropic materials. This rebuts the mainstream belief that it is imperative to use anisotropic inhomogeneous metamaterials for the manipulation of macroscopic fields.…”

Section: Introductionmentioning

confidence: 99%

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Optimization-based design of an elastostatic cloaking device

Fachinotti

Peralta

Albanesi

2018

Sci Rep

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We present a new method for the design of devices to manipulate the displacement field in Elastic materials. It consists of solving a nonlinear optimization problem where the objective function defines the error in matching a desired displacement field, and the design variables determine the required material distribution within the device. In order to facilitate fabrication, the material at a given point of the device is chosen from a set of predefined materials, giving raise to a discrete optimization problem that is converted into a continuous one using the Discrete Material Optimization technique. The candidate materials maybe simple, isotropic materials, but the device made of them behaves as a whole as a metamaterial, enabling the manipulation of the displacement field in ways that are inconceivable in nature. As an example of application, a device for elastostatic cloaking or unfeelability is designed.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Optimization-based design of an elastostatic cloaking device

Fachinotti

Peralta

Albanesi

2018

Sci Rep

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“…Recently, the development of metamaterials has allowed the manipulation of temperature and displacement fields in ways inconceivable in nature, including cloaking 1–7 , focusing 1,4,8–12 , inversion 4,12–14 , shielding 15,16 and channeling 17 in heat conduction, and cloaking in elastostatics 16,18,19 and elastodynamics 20–22 .…”

Section: Introductionmentioning

confidence: 99%

Metamaterial for elastostatic cloaking under thermal gradients

Hostos

Fachinotti

Peralta

2019

Sci Rep

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We introduce the optimization-based method for the design of thermo-mechanical metamaterials and, particularly, for the elastostatic cloaking under thermal loads. It consists of solving a large-scale, nonlinear constrained optimization problem, where the objective function is the error in the cloaking task accomplishment. The design variables define the required metamaterial distribution. In this way, the cloaking task is accomplished, if not exactly, optimally. Further, the design variables dictate how to fabricate the metamaterial, avoiding the uncertainty of simultaneously mimicking several thermal and mechanical effective properties, as required by transformation-based metamaterial design methods.

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“…A growing number of papers is devoted to applying the inverse design methodology in various cloaking problems. Among them we mention the fist papers [35,36] where numerical optimization algorithms are applied for finding the unknown material parameters of TO-based cloak and papers [37][38][39][40] associated with the use of topology optimization and discrete material optimization for solving problems of designing cloaks, concentrators and other thermal functional devices. Papers [41][42][43] are devoted to theoretical analysis of cloaking problems using the optimization approach.…”

Section: Introductionmentioning

confidence: 99%

Optimization-based method of solving 2D thermal cloaking problems

Алексеев

Терешко

2019

J. Phys.: Conf. Ser.

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Inverse problems associated with designing cylindrical thermal cloaking shells are studied.Using the optimization method these inverse problems are reduced to corresponding control problems in which the diagonal components of diagonal in polar coordinates tensor of thermal conductivities play the role of passive controls. A numerical algorithm based on the particle swarm optimization is proposed and the results of numerical experiments are discussed.Rigorous optimization analysis shows that high cloaking efficiency of the shell can be achieved either using a highly anisotropic single-layer shell or using a multilayer shell composed of only three isotropic natural materials with optimally selected thermal conductivities.

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Optimization-based design of easy-to-make devices for heat flux manipulation

Cited by 35 publications

References 28 publications

Optimization-based design of an elastostatic cloaking device

Optimization-based design of an elastostatic cloaking device

Metamaterial for elastostatic cloaking under thermal gradients

Optimization-based method of solving 2D thermal cloaking problems

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