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A cost functional involving the eigenvalues of an elastic structure, that is described by a multi-phase-field equation, is optimized. This allows us to handle topology changes and multiple materials. We prove continuity and…

Optimization and Control · Mathematics 2021-10-12 Harald Garcke , Paul Hüttl , Patrik Knopf

In this paper, a two-scale approach for elastic shape optimization of fine-scale structures in additive manufacturing is investigated. To this end, a free material optimization is performed on the macro-scale using elasticity tensors in a…

Numerical Analysis · Mathematics 2022-07-28 Sergio Conti , Martin Rumpf , Stefan Simon

We discuss the problem of the optimal design of a micro-tubular fuel cell applying an inverse homogenization technique. Fuel cells are extremely clean and efficient electrochemical power generation devices, made up of a…

Computational Engineering, Finance, and Science · Computer Science 2016-03-29 Gabriel Delgado

Owing to additive manufacturing techniques, a structure at millimeter length scale (macroscale) can be produced by using a lattice substructure at micrometer length scale (microscale). Such a system is called a metamaterial at the…

Computational Engineering, Finance, and Science · Computer Science 2019-11-25 H. Yang , B. E. Abali , W. H. Müller , D. Timofeev

This paper presents a synthesis approach in a density-based topology optimization setting to design large deformation compliant mechanisms for inducing desired strains in biological tissues. The modelling is based on geometrical…

Computational Engineering, Finance, and Science · Computer Science 2021-03-26 P. Kumar , C. Schmidleithner , N. B. Larsen , O. Sigmund

Topology optimization (TO) has experienced a dramatic development over the last decades aided by the arising of metamaterials and additive manufacturing (AM) techniques, and it is intended to achieve the current and future challenges. In…

Engineering structures must often be designed to resist thermally induced stresses. Significant progress has been made on the design of such structures through thermo-elastic topology optimization. However, a computationally efficient…

Computational Engineering, Finance, and Science · Computer Science 2022-03-31 Shiguang Deng , Krishnan Suresh

Cellular solids and micro-lattices are a class of lightweight architected materials that have been established for their unique mechanical, thermal, and acoustic properties. It has been shown that by tuning material architecture, a…

Materials Science · Physics 2024-03-12 Shengzhi Luan , Enze Chen , Joel John , Stavros Gaitanaros

This paper proposes topology optimization for considering shielding and penetrating features. Based on the fictitious physical model, which is a useful approach to control geometric features, the proposed method analyzes fictitious…

Optimization and Control · Mathematics 2025-02-11 Daiki Soma , Kota Sakai , Takayuki Yamada

Topological materials present unconventional electronic properties that make them attractive for both basic science and next-generation technological applications. The majority of currently known topological materials have been discovered…

Materials Science · Physics 2023-02-14 Andrew Ma , Yang Zhang , Thomas Christensen , Hoi Chun Po , Li Jing , Liang Fu , Marin Soljačić

States of self-stress, tensions and compressions of structural elements that result in zero net forces, play an important role in determining the load-bearing ability of structures ranging from bridges to metamaterials with tunable…

Soft Condensed Matter · Physics 2015-08-06 Jayson Paulose , Anne S. Meeussen , Vincenzo Vitelli

We propose a solution strategy for a multimaterial minimum compliance topology optimization problem, which consists in finding the optimal allocation of a finite number of candidate (possibly anisotropic) materials inside a reference…

Numerical Analysis · Mathematics 2018-07-04 Francesco Regazzoni , Nicola Parolini , Marco Verani

Global optimization techniques are increasingly preferred over human-driven methods in the design of electromagnetic structures such as metasurfaces, and careful construction and parameterization of the physical structure is critical in…

Applied Physics · Physics 2023-07-18 Alex Saad-Falcon , Christopher Howard , Justin Romberg , Kenneth Allen

Metamaterials exhibit materials response deviation from conventional elasticity. This phenomenon is captured by the generalized elasticity as a result of extending the theory at the expense of introducing additional parameters. These…

Computational Engineering, Finance, and Science · Computer Science 2021-06-10 Bilen Emek Abali , Emilio Barchiesi

Honeycomb-like microstructures have been shown to exhibit local elastic buckling under compression, with three possible geometric buckling modes, or pattern transformations. The individual pattern transformations, and consequently also…

Soft Condensed Matter · Physics 2020-04-14 O. Rokoš , M. M. Ameen , R. H. J. Peerlings , M. G. D. Geers

This work introduces an Adaptive Mesh Refinement (AMR) strategy for the topology optimization of structures made of discrete geometric components using the geometry projection method. Practical structures made of geometric shapes such as…

Optimization and Control · Mathematics 2020-04-22 Shanglong Zhang , Arun L. Gain , Julian A. Norato

Topology optimization, a technique to determine where material should be placed within a predefined volume in order to minimize a physical objective, is used across a wide range of scientific fields and applications. A general application…

Plasma Physics · Physics 2023-06-23 Alan A. Kaptanoglu , Gabriel P. Langlois , Matt Landreman

Topology optimization using gradient search with negative and positive elliptical masks and honeycomb tessellation is presented. Through a novel skeletonization algorithm for topologies defined using filled and void hexagonal…

Computational Engineering, Finance, and Science · Computer Science 2020-10-13 Nikhil Singh , Prabhat Kumar , Anupam Saxena

Porous structures such as trabecular bone are widely seen in nature. These structures exhibit superior mechanical properties whilst being lightweight. In this paper, we present a method to generate bone-like porous structures as lightweight…

Graphics · Computer Science 2018-05-01 Jun Wu , Niels Aage , Ruediger Westermann , Ole Sigmund

Gel-elastomer composites, comprising an active swellable hydrogel and a passive elastomer, are a compelling class of programmable material systems (PMS) capable of shape morphing under multiphysics actuation. The precise design of the…

Computational Engineering, Finance, and Science · Computer Science 2026-05-20 Aaditya Chandrasekhar , Dex Doksoo Lee , Hyunwoo Kwon , Wei Chen
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