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Topology optimization (TO) serves as a widely applied structural design approach to tackle various engineering problems. Nevertheless, sensitivity-based TO methods usually struggle with solving strongly nonlinear optimization problems. By…

机器学习 · 计算机科学 2025-06-16 Jun Yang , Shintaro Yamasaki

Topology optimization (TO) has been widely adopted in engineering design; however, it is prone to being trapped in local optima, particularly in strongly nonlinear problems. Sensitivity-free data-driven topology design (DDTD) offers a…

计算物理 · 物理学 2026-03-10 Jun Yang , Ziliang Wang , Shintaro Yamasaki

The objective of this study is to establish a gradient-free topology optimization framework that facilitates more global solution searches to avoid entrapping in undesirable local optima, especially in problems with strong non-linearity.…

最优化与控制 · 数学 2025-03-07 Hiroki Kawabe , Kentaro Yaji , Yuichiro Aoki

Multiscale topology optimization is crucial for designing porous infill structures with high stiffness-to-weight ratios and excellent energy absorption. Although gradient-based methods provide a rigorous framework, they are computationally…

最优化与控制 · 数学 2025-10-13 Shuzhi Xu , Yifan Guo , Hiroki Kawabe , Kentaro Yaji

Gradient-free optimizers allow for tackling problems regardless of the smoothness or differentiability of their objective function, but they require many more iterations to converge when compared to gradient-based algorithms. This has made…

机器学习 · 计算机科学 2024-09-24 Gawel Kus , Miguel A. Bessa

The work explores a specific scenario for structural computational optimization based on the following elements: (a) a relaxed optimization setting considering the ersatz (bi-material) approximation, (b) a treatment based on a nonsmoothed…

计算工程、金融与科学 · 计算机科学 2021-08-06 J. Oliver , D. Yago , J. Cante , O. Lloberas-Valls

A new topology optimization method called the Proportional Topology Optimization (PTO) is presented. As a non-gradient method, PTO is simple to understand, easy to implement, and is also efficient and accurate at the same time. It is…

计算工程、金融与科学 · 计算机科学 2016-05-30 Emre Biyikli , Albert C. To

A new approach for generating stress-constrained topological designs in continua is presented. The main novelty is in the use of elasto-plastic modeling and in optimizing the design such that it will exhibit a linear-elastic response. This…

计算工程、金融与科学 · 计算机科学 2016-08-25 Oded Amir

Spinodoid architected materials have drawn significant attention due to their unique nature in stochasticity, aperiodicity, and bi-continuity. Compared to classic periodic truss-, beam- and plate-based lattice architectures, spinodoids are…

计算工程、金融与科学 · 计算机科学 2025-10-16 Shiguang Deng , Doksoo Lee , Aaditya Chandrasekhar , Stefan Knapik , Liwei Wang , Horacio D. Espinosa , Wei Chen

Robust topology optimization (RTO), as a class of topology optimization problems, identifies a design with the best average performance while reducing the response sensitivity to input uncertainties, e.g. load uncertainty. Solving RTO is…

机器学习 · 计算机科学 2024-08-22 Rini Jasmine Gladstone , Mohammad Amin Nabian , Vahid Keshavarzzadeh , Hadi Meidani

In traditional topology optimization, the computing time required to iteratively update the material distribution within a design domain strongly depends on the complexity or size of the problem, limiting its application in real engineering…

计算工程、金融与科学 · 计算机科学 2024-05-14 Gabriel Garayalde , Matteo Torzoni , Matteo Bruggi , Alberto Corigliano

Functionally Graded Materials (FGMs) made of soft constituents have emerged as promising material-structure systems in potential applications across many engineering disciplines, such as soft robots, actuators, energy harvesting, and tissue…

计算工程、金融与科学 · 计算机科学 2025-07-01 Shiguang Deng , Horacio D. Espinosa , Wei Chen

This work presents the application of a recently developed parametric, non-intrusive, and multi-fidelity reduced-order modeling method on high-dimensional displacement and stress fields arising from the structural analysis of geometries…

机器学习 · 计算机科学 2022-06-15 Christian Perron , Darshan Sarojini , Dushhyanth Rajaram , Jason Corman , Dimitri Mavris

The design of porous infill structures presents significant challenges due to their complex geometric configurations, such as the accurate representation of geometric boundaries and the control of localized maximum stress. In current…

最优化与控制 · 数学 2025-10-14 Shuzhi Xu , Hiroki Kawabe , Kentaro Yaji

Strong adhesives rely on reduced stress concentrations, often obtained via specific geometry or composition of materials. In many examples in nature and engineering prototypes, the adhesive performance relies on structural rigidity being…

材料科学 · 物理学 2023-08-16 Zhiyuan Tong , Farid H. Benvidi , Mattia Bacca

Reliability-based topology optimization (RBTO) requires repeated estimation of small failure probabilities and their gradients, making conventional nested Monte Carlo approaches computationally prohibitive for large scale structural…

最优化与控制 · 数学 2026-05-01 Maryam Maghazeh , Ayyappan Unnikrishna Pillai , Mohammad Masiur Rahaman , Subhayan De

Lattice-like structures can provide a combination of high stiffness with light weight that is useful in many applications, but a resolved finite element mesh of such structures results in a computationally expensive discretization. This…

数值分析 · 数学 2022-09-07 Sean McBane , Youngsoo Choi , Karen Willcox

We present a two-scale topology optimization framework for the design of macroscopic bodies with an optimized elastic response, which is achieved by means of a spatially-variant cellular architecture on the microscale. The chosen spinodoid…

计算工程、金融与科学 · 计算机科学 2021-05-21 Li Zheng , Siddhant Kumar , Dennis M. Kochmann

This paper presents a topology optimization framework for structural problems subjected to transient loading. The mechanical model assumes a linear elastic isotropic material, infinitesimal strains, and a dynamic response. The optimization…

经典物理 · 物理学 2017-05-05 Reza Behrou , James K. Guest

In this paper a phase-field approach for structural topology optimization for a 3D-printing process which includes stress constraint and potentially multiple materials or multiscales is analyzed. First order necessary optimality conditions…

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