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We consider a system of equations that model the temperature, electric potential and deformation of a thermoviscoelastic body. A typical application is a thermistor; an electrical component that can be used e.g. as a surge protector,…

Numerical Analysis · Mathematics 2018-04-09 Axel Målqvist , Tony Stillfjord

This paper demonstrates the application of the density-based topology optimisation approach for the design of heat sinks and micropumps based on natural convection effects. The problems are modelled under the assumptions of steady-state…

Fluid Dynamics · Physics 2015-08-19 Joe Alexandersen , Niels Aage , Casper Schousboe Andreasen , Ole Sigmund

This paper proposes a self-support topology optimization method that considers distortion to improve the manufacturability of additive manufacturing. First, a self-support constraint is proposed that combines an overhang angle constraint…

Computational Engineering, Finance, and Science · Computer Science 2022-12-15 Takao Miki

This study presents an automated topology optimization framework for designing pentamode acoustic metamaterials. It provides precise control over the material effective acoustic properties while minimizing the shear modulus to achieve…

Applied Physics · Physics 2026-03-03 Sebastiano Cominelli , Matteo Pozzi , Francesco Braghin

We design a class of spatially inhomogeneous heat spreaders in the context of steady-state thermal conduction leading to spatially uniform thermal fields across a large convective surface. Each spreader has a funnel-shaped design, either in…

Materials Science · Physics 2022-02-25 Eleanor R. Russell , Raphaël C. Assier , William J. Parnell

Topology optimization is one of the engineering tools for finding efficient design. For the material interpolation scheme, it is usual to employ the SIMP (Solid Isotropic Material with Penalization) or the homogenization based interpolation…

Computational Engineering, Finance, and Science · Computer Science 2022-12-07 Bing Yi , Gil Ho Yoon , Ran Zheng , Long Liu , Daping Li , Xiang Peng

Permitting multiple materials within a topology optimization setting increases the search space of the technique, which facilitates obtaining high-performing and efficient optimized designs. Structures with multiple materials involving…

Computational Engineering, Finance, and Science · Computer Science 2023-05-16 Prabhat kumar

Asymptotic homogenisation is used to systematically derive reduced-order macroscopic models of conductive behaviour in spirally-wound layered materials in which the layers have very different conductivities. The problem is motivated by the…

Applied Physics · Physics 2020-11-10 Steven Psaltis , Robert Timms , Colin Please , S. Jonathan Chapman

Mechanical cloaks are materials engineered to manipulate the elastic response around objects to make them indistinguishable from their homogeneous surroundings. Typically, methods based on material-parameter transformations are used to…

Applied Physics · Physics 2022-04-27 Liwei Wang , Jagannadh Boddapati , Ke Liu , Ping Zhu , Chiara Daraio , Wei Chen

Structural system identification in the presence of thermal loads is challenging, as unmeasured or poorly modeled thermal effects can mask or mimic damage, leading to unreliable conclusions. This work presents an optimization-driven,…

Optimization and Control · Mathematics 2026-03-11 Talhah Shamshad Ali Ansari , Suneth Warnakulasuriya , Ihar Antonau , Harbir Antil , Rainald Löhner , Roland Wüchner

We show a design method of cloaking devices which work for target objects with arbitrary shape and material by a topology optimisation with an accurate and efficient sensitivity analysis. Most of past researches on topology optimisation of…

Numerical Analysis · Mathematics 2016-11-28 Kenta Nakamoto , Hiroshi Isakari , Toru Takahashi , Toshiro Matsumoto

These are the lecture notes of a short course on the homogenization method for topology optimization of structures, given by Gr\'egoire Allaire, during the "GSIS International Summer School 2018" at Tohoku University (Sendai, Japan). The…

Analysis of PDEs · Mathematics 2019-06-17 Grégoire Allaire , Lorenzo Cavallina , Nobuhito Miyake , Tomoyuki Oka , Toshiaki Yachimura

Although stress-constrained topology optimization has been extensively studied in structural design, the development of optimization frameworks to enable the creation of metamaterials with optimal mechanical performance is still an open…

Computational Engineering, Finance, and Science · Computer Science 2026-02-24 Yanda Chen , Sebastian Rodriguez , Beatriz Moya , Francisco Chinesta

We present an adaptive wavelet Galerkin method for transient heat conduction in heterogeneous composite materials. The approach combines multiresolution wavelet bases with an implicit time discretization to efficiently resolve sharp…

Numerical Analysis · Mathematics 2025-12-17 Taylan Demir , Atakan Koçyiğit

Simultaneously guiding electromagnetic waves and heat flow at any incidence angle to smoothly bypass some electromagnetic/thermal sensitive elements is a key factor to ensure efficient communication and thermal protection for an on-chip…

Applied Physics · Physics 2024-06-26 Yichao Liu , Hanchuan Chen , Gang Zhao , Fei Sun

Topology optimization (TO) in two dimensions often presents a trade-off between structural performance and manufacturability, with unpenalized (variable-thickness) methods yielding superior but complex designs, and penalized (SIMP) methods…

Computational Engineering, Finance, and Science · Computer Science 2025-07-28 Gabriel Stankiewicz , Chaitanya Dev , Paul Steinmann

This paper presents an adaptive discretization strategy for level set topology optimization of structures based on hierarchical B-splines. This work focuses on the influence of the discretization approach and the adaptation strategy on the…

Numerical Analysis · Mathematics 2019-09-25 L. Noel , M. Schmidt , C. Messe , J. A. Evans , K. Maute

We present a novel de-homogenization approach for efficient design of high-resolution load-bearing structures. The proposed approach builds upon a streamline-based parametrization of the design domain, using a set of space-filling and…

Computational Engineering, Finance, and Science · Computer Science 2022-07-20 Junpeng Wang , Rüdiger Westermann , Jun Wu

The transition to 4th generation district heating creates a growing need for scalable, automated design tools that accurately capture the spatial and temporal details of heating network operation. This paper presents an automated design…

Computational Engineering, Finance, and Science · Computer Science 2024-01-30 Yannick Wack , Martin Sollich , Robbe Salenbien , Jan Diriken , Martine Baelmans , Maarten Blommaert

The emergence of data-driven science has opened up new avenues for understanding the thermophysical properties of materials. For decades, alloys are known to possess very low thermal conductivity, but the extreme thermal conductivity can be…

Applied Physics · Physics 2020-04-21 Jiahao Yan , Han Wei , Han Xie , Xiaokun Gu , Hua Bao
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