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Element-based topology optimization algorithms capable of generating smooth boundaries have drawn serious attention given the significance of accurate boundary information in engineering applications. The basic framework of a new…

Computational Engineering, Finance, and Science · Computer Science 2021-01-11 Yun-Fei Fu , Bernard Rolfe , Ngai Sum Louis Chiu , Yanan Wang , Xiaodong Huang , Kazem Ghabraie

This work presents a computational method for the design of architected truss lattice materials where each strut can be made of one of a set of available materials. We design the lattices to extremize effective properties. As customary in…

Computational Engineering, Finance, and Science · Computer Science 2020-04-22 Hesaneh Kazemi , Ashkan Vaziri , Julian A. Norato

This paper presents an algorithm for reliability-based topology optimization of linear elastic continua under random-field material model. The modelling random field is discretized into a small number of random variables, and then the…

Optimization and Control · Mathematics 2022-01-03 Trung Pham , Christopher Hoyle

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

Porous structures are materials consisting of minuscule pores, where the microstructure morphology significantly impacts their macroscopic properties. Integrating different porous structures through a blending method is indispensable to…

Graphics · Computer Science 2024-06-03 Depeng Gao , Yang Gao , Yuanzhi Zhang , Hongwei Lin

This paper proposes a level set-based method for optimizing shell structures with large design changes in shape and topology. Conventional shell optimization methods, whether parametric or nonparametric, often only allow limited design…

Computational Engineering, Finance, and Science · Computer Science 2024-08-29 Hiroki Kobayashi , Katsuya Nomura , Yuqing Zhou , Masato Tanaka , Atsushi Kawamoto , Tsuyoshi Nomura

This paper presents a canonical duality approach for solving a general topology optimization problem of nonlinear elastic structures. By using finite element method, this most challenging problem can be formulated as a mixed integer…

Discrete Mathematics · Computer Science 2017-06-29 David Yang Gao

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 paper proposes a computational framework for the design optimization of stable structures under large deformations by incorporating nonlinear buckling constraints. A novel strategy for suppressing spurious buckling modes related to…

Computational Engineering, Finance, and Science · Computer Science 2023-06-07 Guodong Zhang , Kapil Khandelwal , Tong Guo

Much work has been done in topology optimization of multiscale structures for maximum stiffness or minimum compliance design. Such approaches date back to the original homogenization-based work by Bends{\o}e and Kikuchi from 1988, which…

Computational Engineering, Finance, and Science · Computer Science 2023-05-01 Christoffer Fyllgraf Christensen , Fengwen Wang , Ole Sigmund

Inverse design of high-resolution and fine-detailed 3D lightweight mechanical structures is notoriously expensive due to the need for vast computational resources and the use of very fine-scaled complex meshes. Furthermore, in designing for…

This paper provides an orientation angle optimization method for the design of fiber-reinforced composite materials using topology optimization. The orientation angle optimization is based on a topological derivative, which measures the…

Computational Engineering, Finance, and Science · Computer Science 2023-06-21 Masaki Noda , Kei Matsushima , Takayuki Yamada

Fluid-structure interactions are a widespread phenomenon in nature. Although their numerical modeling have come a long way, the application of numerical design tools to these multiphysics problems is still lagging behind. Gradient-based…

Numerical Analysis · Mathematics 2021-09-27 Mohamed Abdelhamid , Aleksander Czekanski

In dual decomposition, the dual to an optimization problem with a specific structure is solved in distributed fashion using (sub)gradient and recently also fast gradient methods. The traditional dual decomposition suffers from two main…

Optimization and Control · Mathematics 2014-04-08 Pontus Giselsson

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

This paper considers the design of structures made of engineered materials, accounting for uncertainty in material properties. We present a topology optimization approach that optimizes the structural shape and topology at the macroscale…

Optimization and Control · Mathematics 2021-10-27 Subhayan De , Kurt Maute , Alireza Doostan

In this research, we propose a deep learning based approach for speeding up the topology optimization methods. The problem we seek to solve is the layout problem. The main novelty of this work is to state the problem as an image…

Machine Learning · Computer Science 2017-09-28 Ivan Sosnovik , Ivan Oseledets

The goal of this work is to present a fast and viable approach for the numerical solution of the high-contrast state problems arising in topology optimization. The optimization process is iterative, and the gradients are obtained by an…

Numerical Analysis · Mathematics 2020-06-25 Miguel Zambrano , Sintya Serrano , Boyan S. Lazarov , Juan Galvis

This work presents a multilevel approach to large--scale topology optimization accounting for linearized buckling criteria. The method relies on the use of preconditioned iterative solvers for all the systems involved in the linear buckling…

Numerical Analysis · Mathematics 2020-03-03 Federico Ferrari , Ole Sigmund

A framework for topology optimization of cooling channels is proposed, which paves the way towards automated design of additively-manufactured cooling channels, required in applications such as the efficient heat management of die casting…

Fluid Dynamics · Physics 2023-08-22 Farshad Navah , Marc-Etienne Lamarche-Gagnon , Florin Ilinca