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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

Topology optimization (TopOpt) is a mathematical-driven design procedure to realize optimal material architectures. This procedure is often used to automate the design of devices involving flow through porous media, such as micro-fluidic…

Numerical Analysis · Mathematics 2021-06-01 T. Phatak , K. B. Nakshatrala

Our goal is to develop a design framework for multifunctional mechanical metamaterials that can tune their rigidity while optimizing other desired properties. Towards this goal, we first demonstrate that underconstrained central force…

Soft Condensed Matter · Physics 2024-07-22 Tyler Hain , Chris Santangelo , M. Lisa Manning

Modern optical systems are subject to very restrictive performance, size and cost requirements. Especially in portable systems size often is the most important factor, which necessitates elaborate designs to achieve the desired…

Shells, i.e., objects made of a thin layer of material following a surface, are among the most common structures in use. They are highly efficient, in terms of material required to maintain strength, but also prone to deformation and…

Graphics · Computer Science 2019-04-30 Francisca Gil-Ureta , Nico Pietroni , Denis Zorin

In this paper, we consider the optimal control of material micro-structures. Such material micro-structures are modeled by the so-called phase field model. We study the underlying physical structure of the model and propose a data based…

Systems and Control · Electrical Eng. & Systems 2022-10-14 Aayushman Sharma , Zirui Mao , Haiying Yang , Suman Chakravorty , Michael J Demkowicz , Dileep Kalathil

We introduce the isogeometric shape optimisation of thin shell structures using subdivision surfaces. Both triangular Loop and quadrilateral Catmull-Clark subdivision schemes are considered for geometry modelling and finite element…

Numerical Analysis · Mathematics 2019-05-21 Kosala Bandara , Fehmi Cirak

Media and membranes composed of micrometric-diameter pores are well known in academia and industry to be capable of efficacious nanofiltration of fluids once the pore inner surfaces are coated with nanostructures. Given the large mismatch…

Mesoscale and Nanoscale Physics · Physics 2024-12-02 J. C. Verde , N. Coton , M. V. Ramallo

The growing need for creating surfaces with specific wetting properties, such as superhyrdophobic behavior, asks for novel methods for their efficient design. In this work, a fast computational method for the evaluation of patterned…

Applied Physics · Physics 2019-01-31 V. Krokos , G. Pashos , A. N. Spyropoulos , G. Kokkoris , A. G. Papathanasiou , A. G. Boudouvis

A simple and efficient interface-fitted mesh generation algorithm is developed in this paper. This algorithm can produce a local anisotropic fitting mixed mesh which consists of both triangles and quadrilaterals near the interface. A new…

Numerical Analysis · Mathematics 2020-05-13 Jun Hu , Hua Wang

Machine learning techniques have been widely employed as effective tools in addressing various engineering challenges in recent years, particularly for the challenging task of microstructure-informed materials modeling. This work provides a…

Materials Science · Physics 2024-05-29 Xiang-Long Peng , Mozhdeh Fathidoost , Binbin Lin , Yangyiwei Yang , Bai-Xiang Xu

A deterministic method for synthesizing the interconnect topologies optimized for the required properties is proposed. The method is based on the original description of graphs by projections, on establishing the bijective correspondence of…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-30 V. A. Melent'ev

An important step in shape optimization with partial differential equation constraints is to adapt the geometry during each optimization iteration. Common strategies are to employ mesh-deformation or re-meshing, where one or the other…

Numerical Analysis · Mathematics 2018-06-27 Jorgen S. Dokken , Simon W. Funke , August Johansson , Stephan Schmidt

In recent years, there has been a growing interest in accelerated materials innovation in the context of the process-structure-property chain. In this regard, it is essential to take into account manufacturing processes and tailor materials…

Materials Science · Physics 2024-11-12 Lukas Morand , Tarek Iraki , Johannes Dornheim , Stefan Sandfeld , Norbert Link , Dirk Helm

We propose and discuss a novel strategy for protein design. The method is based on recent theoretical advancements which showed the importance to treat carefully the conformational free energy of designed sequences. In this work we show how…

Statistical Mechanics · Physics 2009-10-31 A. Rossi , A. Maritan , C. Micheletti

The synthesis of compliant mechanisms (CMs) is frequently achieved through topology optimization. Many synthesis approaches simplify implementation by assuming small distortions, but this limits their practical application since CMs…

Optimization and Control · Mathematics 2024-06-04 Stephanie Seltmann , Alexander Hasse

Modularity is appealing for solving many problems in optimization. It brings the benefits of manufacturability and reconfigurability to structural optimization, and enables a trade-off between the computational performance of a Periodic…

Computational Engineering, Finance, and Science · Computer Science 2021-03-31 Marek Tyburec , Jan Zeman , Martin Doškář , Martin Kružík , Matěj Lepš

This paper presents a novel and efficient method for characteristic mode decomposition in multi-structure systems. By leveraging the translation and rotation matrices of vector spherical wavefunctions, our approach enables the synthesis of…

Computational Engineering, Finance, and Science · Computer Science 2025-07-18 Chenbo Shi , Xin Gu , Shichen Liang , Jin Pan , Le Zuo

We propose a new mechanism to create self-assembled porous media with highly tunable geometrical properties and permeabilities: We first allow a particle-stabilized emulsion to form from a mixture of two fluids and colloidal particles.…

Soft Condensed Matter · Physics 2024-08-08 Stefan Frijters , Jens Harting

Although various structural optimization techniques have a sound mathematical basis, the practical constructability of optimal designs poses a great challenge in the manufacturing stage. Currently, there is only a limited number of unified…

Numerical Analysis · Mathematics 2024-07-19 Lowhikan Sivanantha Sarma , Chinthaka Mallikarachchi , Sumudu Herath