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This study presents an extension of multiscale topology optimization by integrating both yield stress and local/global buckling considerations into the design process. Building upon established multiscale methodologies, we develop a new…

计算工程、金融与科学 · 计算机科学 2025-05-08 Christoffer Fyllgraf Christensen , Fengwen Wang , Ole Sigmund

The complex physics and numerous failure modes of structural impact creates challenges when designing for impact resistance. While simple geometries of layered material are conventional, advances in 3D printing and additive manufacturing…

最优化与控制 · 数学 2023-01-04 Andrew Akerson

We study the dynamics of a seeding experiment where a fibrous scaffold material is colonized by two types of cell populations. The specific application that we have in mind is related to the idea of meniscus tissue regeneration. In order to…

While cervical arthroplasty using Total Disc Replacement (TDR) implants is an established treatment for persistent neck and arm pain, revision rates limit it from reaching its full potential. To address the underlying complications, we…

计算工程、金融与科学 · 计算机科学 2026-02-12 Lucia Kölle , Victor Oei , Ida Mónus , Syn Schmitt , Daniel Haschtmann , Fabio Galbusera , Stephen J. Ferguson , Benedikt Helgason

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…

数值分析 · 数学 2020-03-03 Federico Ferrari , Ole Sigmund

Motivated by an application involving additively manufactured bioresorbable polymer scaffolds supporting bone tissue regeneration, we investigate the impact of uncertain geometry perturbations on the effective mechanical properties of…

偏微分方程分析 · 数学 2023-04-19 Patrick Dondl , Yongming Luo , Stefan Neukamm , Steve Wolff-Vorbeck

Structural topology optimization, which aims to find the optimal physical structure that maximizes mechanical performance, is vital in engineering design applications in aerospace, mechanical, and civil engineering. Generative adversarial…

机器学习 · 计算机科学 2022-12-07 François Mazé , Faez Ahmed

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

Developing appropriate analytic-function-based constitutive models for new materials with nonlinear mechanical behavior is demanding. For such kinds of materials, it is more challenging to realize the integrated design from the collection…

最优化与控制 · 数学 2022-11-11 Yunhang Guo , Zongliang Du , Lubin Wang , Wen Meng , Tien Zhang , Ruiyi Su , Dongsheng Yang , Shan Tang , Xu Guo

We present a computational design method that optimizes the reinforcement of dentures and increases the stiffness of dentures. Our approach optimally places reinforcement in the denture, which modern multi-material three-dimensional…

计算工程、金融与科学 · 计算机科学 2024-12-16 Rabia Altunay , Kalevi Vesterinen , Pasi Alander , Eero Immonen , Andreas Rupp , Lassi Roininen

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…

计算工程、金融与科学 · 计算机科学 2025-04-03 Pratyush Kumar Singh , Danial Faghihi

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

Topology optimization is concerned with the identification of optimal shapes of deformable bodies with respect to given target functionals. The focus of this paper is on a topology optimization problem for a time-evolving elastoplastic…

偏微分方程分析 · 数学 2021-06-21 Stefano Almi , Ulisse Stefanelli

Computational models have become an essential part of exploratory protocols in cell biology, as a complement to in vivo or in vitro experiments. These virtual models have the twofold advantage of enabling access to new types of data and…

Fine scale elastic structures are widespread in nature, for instances in plants or bones, whenever stiffness and low weight are required. These patterns frequently refine towards a Dirichlet boundary to ensure an effective load transfer.…

数值分析 · 数学 2017-11-13 Nora Lüthen , Martin Rumpf , Sascha Tölkes , Orestis Vantzos

We consider the shape and topology optimization problem to design a structure that minimizes a weighted sum of material consumption and (linearly) elastic compliance under a fixed given boundary load. As is well-known, this problem is in…

最优化与控制 · 数学 2022-06-22 Jonas Potthoff , Benedikt Wirth

A shape optimization problem arising from the optimal reinforcement of a membrane by means of one-dimensional stiffeners or from the fastest cooling of a two-dimensional object by means of ``conducting wires'' is considered. The criterion…

偏微分方程分析 · 数学 2020-07-14 Giuseppe Buttazzo , Francesco Paolo Maiale

The paper shows an inf-sup stability property for several well-known 2D and 3D Stokes elements on triangulations which are not fitted to a given smooth or polygonal domain. The property implies stability and optimal error estimates for a…

数值分析 · 数学 2017-04-24 Johnny Guzmán , Maxim Olshanskii

The development of materials with specific structural properties is of huge practical interest, for example, for medical applications or for the development of light weight structures in aeronautics. In this article, we combine shape…

数值分析 · 数学 2021-06-01 Helmut Harbrecht , Michael Multerer , Remo von Rickenbach

The brain's connectome and the vascular system are examples of physical networks whose tangible nature influences their structure, layout, and ultimately their function. The material resources required to build and maintain these networks…

生物物理 · 物理学 2025-09-30 Xiangyi Meng , Benjamin Piazza , Csaba Both , Baruch Barzel , Albert-László Barabási