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We theoretically investigate the enhancement of thermoelectric cooling performance in thermoelectric devices made of materials with inhomogeneous thermal conductivity, beyond the usual practice of enhancing thermoelectric figure of merit…

Mesoscale and Nanoscale Physics · Physics 2016-02-11 Tingyu Lu , Jun Zhou , Nianbei Li , Ronggui Yang , Baowen Li

In this paper, we present a framework for multiscale topology optimization of fluid-flow devices. The objective is to minimize dissipated power, subject to a desired contact-area. The proposed strategy is to design optimal microstructures…

Computational Engineering, Finance, and Science · Computer Science 2023-09-18 Rahul Kumar Padhy , Krishnan Suresh , Aaditya Chandrasekhar

An important new trend in additive manufacturing is the use of optimization to automatically design industrial objects, such as beams, rudders or wings. Topology optimization, as it is often called, computes the best configuration of…

As the capabilities of additive manufacturing techniques increase, topology optimization provides a promising approach to design geometrically sophisticated structures which can be directly manufactured. Traditional topology optimization…

Optimization and Control · Mathematics 2014-01-28 Carlos H. Villanueva , Kurt Maute

It has recently been shown theoretically that the time-dependent heat conduction equation is form-invariant under curvilinear coordinate transformations. Thus, in analogy to transformation optics, fictitious transformed space can be mapped…

Materials Science · Physics 2013-05-14 Robert Schittny , Muamer Kadic , Sebastien Guenneau , Martin Wegener

We show the existence and optimal regularity of the optimal temperature configuration in a problem in heat conduction with minimal temperature constraint, interior heating and exterior insulation. Regularity of the two free boundaries is…

Analysis of PDEs · Mathematics 2016-04-29 Hui Yu

This paper is concerned with the analysis of effective thermomechanical properties of multi- layered materials of interest for solid oxide fuel cells (SOFC) and lithium ions batteries fabrication. The recently developed asymptotic…

Materials Science · Physics 2016-08-04 A. Bacigalupo , L. Morini , A. Piccolroaz

This paper is an extension of the result by Christowiak and Kreisbeck (2017), which addresses the Gamma-convergence approach to a homogenization problem for composite materials consisting of two distinct types of parallel layers. In…

Analysis of PDEs · Mathematics 2025-02-11 Akira Ishikawa , Karel Svadlenka

Although recent developments in 3D printing technology have made it possible to fabricate metamaterials with characteristic mechanical properties, it is not easy to fabricate complex shapes containing cavities. In this study, a composite…

Applied Physics · Physics 2023-02-27 Daichi Akamatsu , Yuki Noguchi , Kei Matsushima , Yuji Sato , Jun Yanagimoto , Takayuki Yamada

We develop a space-time spectral element method for topology optimization of transient heat conduction. The forward problem is discretized with summation-by-parts (SBP) operators, and interface/boundary and initial/terminal conditions are…

Numerical Analysis · Mathematics 2026-01-15 Sarah Nataj , Magnus Appel , Joe Alexandersen

Much work has been done in topology optimization of multiscale structures for maximum stiffness or minimum compliance design. Such approaches date back to the original homogenization-based work by Bends{\o}e and Kikuchi from 1988, which…

Computational Engineering, Finance, and Science · Computer Science 2023-05-01 Christoffer Fyllgraf Christensen , Fengwen Wang , Ole Sigmund

A new higher-order accurate method is proposed that combines the advantages of the classical $p$-version of the FEM on body-fitted meshes with embedded domain methods. A background mesh composed by higher-order Lagrange elements is used.…

Numerical Analysis · Computer Science 2016-04-04 Samir Omerović , Thomas-Peter Fries

In this paper we study the thermal effective behaviour for 3D multiphase composite material consisting of three isotropic phases which are the matrix, the inclusions and the coating media. For this purpose we use an accelerated FFT-based…

Computational Engineering, Finance, and Science · Computer Science 2015-04-29 Sophie Lemaitre , Vladimir Salnikov , Daniel Choi , Philippe Karamian

We model a microchannel cooling system and consider the optimization of its shape by means of shape calculus. A three-dimensional model covering all relevant physical effects and three reduced models are introduced. The latter are derived…

Optimization and Control · Mathematics 2025-10-14 Sebastian Blauth , Christian Leithäuser , René Pinnau

In this work we continue the investigation of different approaches to conception and modeling of composite materials. The global method we focus on, is called 'stochastic homogenization'. In this approach, the classical deterministic…

Computational Engineering, Finance, and Science · Computer Science 2018-02-07 Vladimir Salnikov , Daniel Choi , Philippe Karamian-Surville

This paper presents a homogenization framework for elastomeric metamaterials exhibiting long-range correlated fluctuation fields. Based on full-scale numerical simulations on a class of such materials, an ansatz is proposed that allows to…

Soft Condensed Matter · Physics 2018-10-29 O. Rokoš , M. M. Ameen , R. H. J. Peerlings , M. G. D. Geers

Wide variety of engineering design tasks can be formulated as constrained optimization problems where the shape and topology of the domain are optimized to reduce costs while satisfying certain constraints. Several mathematical approaches…

Optimization and Control · Mathematics 2015-03-10 Igor Ostanin , Denis Zorin , Ivan Oseledets

This paper presents a multicomponent topology optimization method for designing structures assembled from additively-manufactured components, considering anisotropic material behavior for each component due to its build orientation,…

Computational Engineering, Finance, and Science · Computer Science 2019-11-26 Yuqing Zhou , Tsuyoshi Nomura , Kazuhiro Saitou

In this paper new characterization equipment for thermal interface materials is presented. Thermal management of electronic products relies on the effec-tive dissipation of heat. This can be achieved by the optimization of the system design…

Materials Science · Physics 2007-09-13 R. Schacht , D. May , B. Wunderle , O. Wittler , A. Gollhardt , B. Michel , H. Reichl

With the advances in materials and integration of electronics and thermoelectrics, the demand for novel crystalline materials with ultimate high/low thermal conductivity is increasing. However, search for optimal thermal materials is…

Applied Physics · Physics 2022-04-27 Shenghong Ju , Junichiro Shiomi