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The classical adjoint-based topology optimization (TO) method, based on the use of a random continuous dielectric function as an adjoint variable distribution, is known to be one of the most efficient optimization methods that enable the…

Optics · Physics 2023-11-01 Kofi Edee , Mauro Antezza , Brahim Guizal

This paper explores the use of optimization to design multifunctional metamaterials, and proposes a methodology for constructing a design envelope of potential properties. A thermal-mechanical metamaterial, proposed by Ai and Gao (2017), is…

Computational Engineering, Finance, and Science · Computer Science 2020-04-29 Ewan Fong , Sadik L. Omairey , Peter D. Dunning

We consider 2- and 3-dimensional cubic monocrystalline and polycrystalline materials. Expressions for Young's and shear moduli and Poisson's ratio are expressed in terms of eigenvalues of the stiffness tensor. Such a form is well suited for…

Materials Science · Physics 2015-05-14 C. Jasiukiewicz , T. Paszkiewicz , S. Wolski

Micro-structured materials consisting of an array of microstructures are engineered to provide the specific material properties. This present work investigates the design of cellular materials under the framework of level set, so as to…

Computational Engineering, Finance, and Science · Computer Science 2018-11-13 Jie Gao , Hao Li , Zhen Luo , Liang Gao , Peigen Li

Artificially designed composite materials consist of microstructures, that exhibit various thermal properties depending on their shapes, such as anisotropic thermal conductivity. One of the representative applications of such composite…

Computational Engineering, Finance, and Science · Computer Science 2023-02-27 Makoto Nakagawa , Yuki Noguchi , Kei Matsushima , Takayuki Yamada

The structural complexity of metamaterials is limitless, although in practice, most designs comprise periodic architectures which lead to materials with spatially homogeneous features. More advanced tasks, arising in e.g. soft robotics,…

Soft Condensed Matter · Physics 2016-08-03 Corentin Coulais , Eial Teomy , Koen de Reus , Yair Shokef , Martin van Hecke

Topology optimization is a powerful tool utilized in various fields for structural design. However, its application has primarily been restricted to static or passively moving objects, mainly focusing on hard materials with limited…

Computational Engineering, Finance, and Science · Computer Science 2023-06-30 Changyoung Yuhn , Yuki Sato , Hiroki Kobayashi , Atsushi Kawamoto , Tsuyoshi Nomura

This paper presents a highly efficient method to obtain high-resolution, near-optimal 3D topologies optimized for minimum compliance on a standard PC. Using an implicit geometry description we derive a single-scale interpretation of optimal…

Computational Engineering, Finance, and Science · Computer Science 2020-04-22 Jeroen Groen , Florian Stutz , Niels Aage , J. Andreas Bærentzen , Ole Sigmund

Metamaterials are composite structures whose properties arise from a mesoscale organization of their constituents. Provided this organization occurs on scales smaller than the characteristic lengths associated with their response, it is…

Soft Condensed Matter · Physics 2022-06-03 Prateek Sehgal , Meera Ramaswamy , Edward Y. X. Ong , Christopher Ness , Itai Cohen , Brian J. Kirby

Superhydrophobic materials are often inspired by nature, whereas metamaterials are engineered to have properties not usually found in naturally occurring materials. In both cases, the key that unlocks their unique properties is structure.…

As a basic mechanical parameter, Poisson's ratio ({\nu}) measures the mechanical responses of solids against external loads. In rare cases, materials have a negative Poisson's ratio (NPR), and present an interesting auxetic effect. That is,…

Materials Science · Physics 2016-11-04 Haidi Wang , Xingxing Li , Pai Li , Jinlong Yang

Mechanical metamaterials designed around a zero-energy pathway of deformation, known as a mechanism, have repeatedly challenged the conventional picture of elasticity. However, the complex spatial deformations these structures are able to…

Soft Condensed Matter · Physics 2022-05-30 Michael Czajkowski , D. Zeb Rocklin

Rapid advances in additive manufacturing over the past decade have kindled widespread interest in the rational design of metamaterials with unique properties. However, many applications require multi-physics metamaterials, where multiple…

Materials Science · Physics 2021-02-10 Sebastien J. P. Callens , Christoph H. Arns , Alina Kuliesh , Amir A. Zadpoor

Topology optimization is an important basis for the design of components. Here, the optimal structure is found within a design space subject to boundary conditions. Thereby, the specific material law has a strong impact on the final design.…

Computational Engineering, Finance, and Science · Computer Science 2024-04-29 Miriam Kick , Philipp Junker

This paper presents a new progressive compression method for triangular meshes. This method, in fact, is based on a schema of irregular multi-resolution analysis and is centered on the optimization of the rate-distortion trade-off. The…

Graphics · Computer Science 2013-09-16 Zeineb Abderrahim , Elhem Techini , Mohamed Salim Bouhlel

We propose a novel two-dimensional hierarchical auxetic structure consisting of a porous medium in which a homogeneous matrix includes a rank-two set of cuts characterised by different scales. The six-fold symmetry of the perforations makes…

Poisson ratio is an important mechanical property that reveals the deformation patterns of materials. A positive Poisson ratio is a feature of the majority of materials. Some materials, however, display auxetic behaviors (i.e. possess…

Classical Physics · Physics 2018-02-08 S. Faroughi , M. Shaat

Although Poisson's ratio, v, is a quantity of great importance in materials design, presently, very few methods are available to measure it at small (micrometre) scales and those typically involve intensive geometric refinement of the…

Materials Science · Physics 2021-03-09 Owen Brazil , George Pharr

A new density field representation technique called the Bezier skeleton explicit density (BSED) representation scheme for topology optimization of stretchable metamaterials under finite deformation is proposed for the first time. The…

Computational Engineering, Finance, and Science · Computer Science 2020-06-24 Hao Deng , Shawn Hinnebusch , Albert C. To

Architected 2D lattice materials are appealing for shape-shifting applications due to the tunable sign of Poisson's ratio. It is commonly believed that the positive and negative Poisson's ratios lead to anticlastic and synclastic curvatures…

Soft Condensed Matter · Physics 2022-11-04 Yu Yao , Yong Ni , Ling-hui He
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