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We propose an efficient probabilistic method to solve a deterministic problem -- we present a randomized optimization approach that drastically reduces the enormous computational cost of optimizing designs under many load cases for both…

Optimization and Control · Mathematics 2017-10-11 Xiaojia Zhang , Eric de Sturler , Glaucio H. Paulino

The mechanical response of cellular materials with spinodal topologies is numerically and experimentally investigated. Spinodal microstructures are generated by the numerical solution of the Cahn-Hilliard equation. Two different topologies…

Materials Science · Physics 2019-04-16 Meng-Ting Hsieh , Bianca Endo , Yunfei Zhang , Jens Bauer , Lorenzo Valdevit

This paper presents a computationally efficient method for the optimal design of silica aerogel porous material systems, balancing thermal insulation performance with mechanical stability under stress concentrations. The proposed approach…

Computational Engineering, Finance, and Science · Computer Science 2025-04-03 Pratyush Kumar Singh , Danial Faghihi

The article is aimed to address a mutually boosting use of asymptotic analysis and machine learning, for fast stiffness design of configurations infilled with smoothly-varying graded microstructures. The discussion is conducted in the…

Numerical Analysis · Mathematics 2021-11-15 Chuang Ma , Dingchuan Xue , Shaoshuai Li , Zhengcheng Zhou , Yichao Zhu , Xu Guo

In this paper we apply topology optimization to micro-structured superhydrophobic surfaces for the first time. It has been experimentally observed that a droplet suspended on a brush of micrometric posts shows a high static contact angle…

Soft Condensed Matter · Physics 2013-02-28 A. Cavalli , P. Bøggild , F. Okkels

Many biological tissues feature a heterogeneous network of fibers whose tensile and bending rigidity contribute substantially to these tissues' elastic properties. Rigidity percolation has emerged as a important paradigm for relating these…

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

This manuscript presents an approach for simultaneously optimizing the connectivity and elevation of grid-shell structures acting in pure compression (or pure tension) under the combined effects of a prescribed external loading and the…

Computational Engineering, Finance, and Science · Computer Science 2025-05-14 Helen E. Fairclough , Karol Bolbotowski , Linwei He , Andrew Liew , Matthew Gilbert

Architected materials achieve unique mechanical properties through precisely engineered microstructures that minimize material usage. However, a key challenge of low-density materials is balancing high stiffness with stable deformability up…

Materials Science · Physics 2024-09-20 Matheus I. N. Rosa , Konstantinos Karapiperis , Kaoutar Radi , Dennis M. Kochmann

The paper is devoted to the shape optimization of microstructures generating porous locally periodic materials saturated by viscous fluids. At the macroscopic level, the porous material is described by the Biot model defined in terms of the…

Optimization and Control · Mathematics 2018-12-03 Daniel Hübner , Eduard Rohan , Vladimír Lukeš , Michael Stingl

A thin flat rectangular plate supported on its edges and subjected to in-plane loading exhibits stable post-buckling behaviour. However, the introduction of a nonlinear (softening) elastic foundation may cause the response to become…

Pattern Formation and Solitons · Physics 2016-03-18 M. Khurram Wadee , David J. B. Lloyd , Andrew P. Bassom

One emerging approach for the fabrication of complex architectures on the nanoscale is to utilize particles customized to intrinsically self-assemble into a desired structure. Inverse methods of statistical mechanics have proven…

Materials Science · Physics 2017-09-08 R. B. Jadrich , B. A. Lindquist , T. M. Truskett

Multi-phase material are frequently applied in a wide variety of products, as they posses a unique set of properties by combining two or more distinct phases at the level of the microstructure. Although the macroscopic stiffness and…

Materials Science · Physics 2016-04-13 T. W. J. de Geus , R. H. J. Peerlings , M. G. D. Geers

Multiscale topology optimization (TO) of hyperelastic materials remains computationally prohibitive due to the repeated solution of microscale boundary value problems. In this work, we present a concurrent multiscale topology optimization…

Computational Engineering, Finance, and Science · Computer Science 2026-04-09 Asghar A. Jadoon , Aryan Tyagi , L. River Spencer , Reese E. Jones , Manuel K. Rausch , Ryan Alberdi , D. Thomas Seidl , Jan N. Fuhg

From cell development to space rockets, the mechanical stability of thin shells is crucial across many industrial and natural processes. However, predicting shells' failure properties remains an open challenge, owing to their sensitivity to…

In this paper, we propose a novel design and fabrication strategy to produce architected core structures for use as the core in composite sandwich structures. A traditional foam core or honeycomb structure is lightweight and stiff, but…

Applied Physics · Physics 2021-11-29 Vinay Damodaran , Anna Hahm , Pavana Prabhakar

Compliant mechanisms actuated by pneumatic loads are receiving increasing attention due to their direct applicability as soft robots that perform tasks using their flexible bodies. Using multiple materials to build them can further improve…

Computational Engineering, Finance, and Science · Computer Science 2023-10-17 Prabhat Kumar , Josh Pinskier , David Howard , Matthijs Langelaar

We discuss a topology optimization problem for an elastoplastic medium. The distribution of material in a region is optimized with respect to a given target functional taking into account compliance. The incremental elastoplastic problem…

Optimization and Control · Mathematics 2020-11-02 Stefano Almi , Ulisse Stefanelli

Designing the topology of three-dimensional structures is a challenging problem due to its memory and time consumption. In this paper, we present a robust and efficient algorithm for solving large-scale 3D topology optimization problems.…

Optimization and Control · Mathematics 2024-03-01 Alfredo Vitorino , Francisco A. M. Gomes

Topology optimization methods face serious challenges when applied to structural design with fluid-structure interaction (FSI) loads, specially for high Reynolds fluid flow. This paper devises an explicit boundary method that employs…