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We consider a strongly heterogeneous medium saturated by an incompressible viscous fluid as it appears in geomechanical modeling. This poroelasticity problem suffers from rapidly oscillating material parameters, which calls for a thorough…

数值分析 · 数学 2018-12-27 Robert Altmann , Eric Chung , Roland Maier , Daniel Peterseim , Sai-Mang Pun

The optimization of porous infill structures via local volume constraints has become a popular approach in topology optimization. In some design settings, however, the iterative optimization process converges only slowly, or not at all even…

计算工程、金融与科学 · 计算机科学 2022-03-22 Junpeng Wang , Jun Wu , Rüdiger Westermann

We present a new algorithm for the design of the connection region between different lattice materials. We solve a Stokes-type topology optimization problem on a narrow morphing region to smoothly connect two different unit cells. The…

计算工程、金融与科学 · 计算机科学 2022-06-03 Nicola Ferro , Simona Perotto , Matteo Gavazzoni

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…

最优化与控制 · 数学 2024-06-04 Stephanie Seltmann , Alexander Hasse

This work introduces an Adaptive Mesh Refinement (AMR) strategy for the topology optimization of structures made of discrete geometric components using the geometry projection method. Practical structures made of geometric shapes such as…

最优化与控制 · 数学 2020-04-22 Shanglong Zhang , Arun L. Gain , Julian A. Norato

Hierarchically designed mechanical metamaterials involve nested levels of structural organization, mimicking natural structures (such as bones, wood, and bird feathers) to create advanced functional materials. Compositional hierarchy, a…

软凝聚态物质 · 物理学 2026-05-21 Shammo Dutta , Girish Krishnan , Sree Kalyan Patiballa

This paper presents a novel phase-field-based methodology for solving minimum compliance problems in topology optimization under fixed external loads and body forces. The proposed framework characterizes the optimal structure through an…

最优化与控制 · 数学 2025-07-23 Huangxin Chen , Piaopiao Dong , Dong Wang , Xiao-Ping Wang

The use of topology optimization methods for the design of electric machines has become increasingly popular over the past years. Due to a desired increase in power density and a recent trend to high speed machines, thermal aspects play a…

最优化与控制 · 数学 2026-04-01 Peter Gangl , Nepomuk Krenn , Herbert De Gersem

Gel-elastomer composites, comprising an active swellable hydrogel and a passive elastomer, are a compelling class of programmable material systems (PMS) capable of shape morphing under multiphysics actuation. The precise design of the…

计算工程、金融与科学 · 计算机科学 2026-05-20 Aaditya Chandrasekhar , Dex Doksoo Lee , Hyunwoo Kwon , Wei Chen

Nature evolves structures like honeycombs at optimized performance with limited material. These efficient structures can be artificially created with the collaboration of structural topology optimization and additive manufacturing. However,…

计算工程、金融与科学 · 计算机科学 2023-03-22 Shengze Zhong , Parinya Punpongsanon , Daisuke Iwai , Kosuke Sato

The adjoint method allows efficient calculation of the gradient with respect to the design variables of a topology optimization problem. This method is almost exclusively used in combination with traditional Finite-Element-Analysis, whereas…

计算工程、金融与科学 · 计算机科学 2022-06-20 Indre Jödicke , Richard J. Leute , Till Junge , Lars Pastewka

We present a methodical procedure for topology optimization under uncertainty with multi-resolution finite element models. We use our framework in a bi-fidelity setting where a coarse and a fine mesh corresponding to low- and…

数值分析 · 计算机科学 2019-04-08 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

We present an improved method for topology optimization with both adaptive mesh refinement and derefinement. Since the total volume fraction in topology optimization is usually modest, after a few initial iterations the domain of…

数值分析 · 数学 2010-09-28 Shun Wang , Eric de Sturler , Glaucio H. Paulino

In recent years, new methods have been developed to synthesize complex porous and micro-structured geometry in a variety of ways. In this work, we take these approaches one step further and present these methods as an efficacious design…

Soft robots are made of compliant materials that perform their tasks by deriving motion from elastic deformations. They are used in various applications, e.g., for handling fragile objects, navigating sensitive/complex environments, etc.,…

计算工程、金融与科学 · 计算机科学 2023-04-13 Prabhat Kumar

Mechanical metamaterials have continued to offer unprecedented tunability in mechanical properties, but most designs to date have prioritized attaining high stiffness and strength while sacrificing deformability. The emergence of woven…

软凝聚态物质 · 物理学 2026-04-21 Molly Carton , James Utama Surjadi , Bastien F. G. Aymon , Carlos M. Portela

In this work we introduce and analyze a new multiscale method for strongly nonlinear monotone equations in the spirit of the Localized Orthogonal Decomposition. A problem-adapted multiscale space is constructed by solving linear local…

数值分析 · 数学 2020-12-16 Barbara Verfürth

This work introduces an end-to-end framework for inverse design of elastic networks directly in the space of constitutive behaviors. A constitutive prior is constructed from noisy stress-strain data using a latent representation that…

计算物理 · 物理学 2026-05-12 Jinkyo Han , Bahador Bahmani

Many geologic materials have a composite structure, in which macroscopic mechanical behavior is determined by the properties, shape, and heterogeneous distribution of individual constituents. In particular, sedimentary rocks commonly…

地球物理 · 物理学 2020-08-26 Shabnam J. Semnani , Joshua A. White

In topology optimization, the treatment of stress constraints for very large scale problems has so far not been tractable due to the failure of robust agglomeration methods, i.e. their inability to accurately handle the locality of the…

计算工程、金融与科学 · 计算机科学 2020-12-23 Gustavo Assis da Silva , Niels Aage , André Teófilo Beck , Ole Sigmund
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