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Understanding how atomic-level structures govern the mechanical properties of amorphous materials remains a fundamental challenge in solid-state physics. Under mechanical loading, amorphous materials exhibit simple affine and spatially…

材料科学 · 物理学 2025-04-01 Emi Minamitani , Takenobu Nakamura , Ippei Obayashi , Hideyuki Mizuno

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

Cellular patterns formed by self-organization of dislocations are a most conspicuous feature of dislocation microstructure evolution during plastic deformation. To elucidate the physical mechanisms underlying dislocation cell structure…

材料科学 · 物理学 2020-07-20 Ronghai Wu , Michael Zaiser

In the current industry, the development of optimized mechanical components able to satisfy the customer requirements evolves quickly. Therefore, companies are asked for efficient solutions to improve their products in terms of stiffness…

计算工程、金融与科学 · 计算机科学 2023-07-31 Rafael Merli , Antolín Martínez-Martínez , Juan José Ródenas , Marc Bosch-Galera , Enrique Nadal

Nowadays, additive manufacturing processes greatly simplify the production of openwork workpiece providing new opportunities for workpieces design. Based on Nature knowledge, a new bio-inspired workpiece structural optimization approach is…

医学物理 · 物理学 2018-10-29 Clement Audibert , Julien Chaves-Jacob , Jean-Marc Linares , Quentin-Alexis Lopez

We consider a class of models for nonlinearly elastic surfaces in this work. We have in mind thin, highly deformable structures modeled directly as two-dimensional nonlinearly elastic continua, accounting for finite membrane and bending…

偏微分方程分析 · 数学 2021-05-17 Timothy J. Healey

The present work introduces a family of beam models derived from a three-dimensional higher-order elasticity framework. By incorporating three kinematic fields - the macroscopic displacement u, the micro-distortion tensor P, and the…

偏微分方程分析 · 数学 2025-07-18 Mewen Crespo , Casale Guy , Loïc Le Marrec , Patrizio Neff

A computationally method on damage detection problems in structures was conducted using neural networks. The problem that is considered in this works consists of estimating the existence, location and extent of stiffness reduction in…

神经与进化计算 · 计算机科学 2008-07-01 Ismoyo Haryanto , Joga Dharma Setiawan , Agus Budiyono

In this paper we show the emergence of polycrystalline structures as a result of elastic energy minimisation. For this purpose, we introduce a variational model for two-dimensional systems of edge dislocations, within the so-called core…

偏微分方程分析 · 数学 2023-04-26 Silvio Fanzon , Mariapia Palombaro , Marcello Ponsiglione

We introduce Harmonic Robustness, a powerful and intuitive method to test the robustness of any machine-learning model either during training or in black-box real-time inference monitoring without ground-truth labels. It is based on…

机器学习 · 计算机科学 2024-04-30 Nicholas S. Kersting , Yi Li , Aman Mohanty , Oyindamola Obisesan , Raphael Okochu

The mechanical properties of thermally excited two-dimensional crystalline membranes can depend dramatically on their geometry and topology. A particularly relevant example is the effect on the crumpling transition of holes in the membrane.…

软凝聚态物质 · 物理学 2019-10-16 D. Yllanes , D. R. Nelson , M. J. Bowick

We present a strategy grounded in the element removal idea of Bruns and Tortorelli [1] and aimed at reducing computational cost and circumventing potential numerical instabilities of density-based topology optimization. The design variables…

In this paper, we construct two lower order mixed elements for the linear elasticity problem in the Hellinger-Reissner formulation, one for the 2D problem and one for the 3D problem, both on macro-element meshes. The discrete stress spaces…

数值分析 · 数学 2024-10-15 Jun Hu , Rui Ma , Yuanxun Sun

In this paper, we study the construction of low-degree robust finite element schemes for planar linear elasticity on general triangulations. Firstly, we present a low-degree nonconforming Helling-Reissner finite element scheme. For the…

数值分析 · 数学 2022-09-22 Shuo Zhang

Topology optimization of modular structures and mechanisms enables balancing the performance of automatically-generated individualized designs, as required by Industry 4.0, with enhanced sustainability by means of component reuse. For…

材料科学 · 物理学 2022-05-25 Marek Tyburec , Martin Doškář , Jan Zeman , Martin Kružík

Robust optimization (RO) provides a principled framework for decision-making under uncertainty, but its performance critically depends on the choice of the uncertainty set. While large sets ensure reliability, they often lead to overly…

机器学习 · 计算机科学 2026-05-15 Shuyi Chen , Wenbin Zhou , Shixiang Zhu

In small volumes, sample dimensions are known to strongly influence mechanical behavior, especially strength and crystal plasticity. This correlation fades away at the so-called mesoscale, loosely defined at several micrometers in both…

介观与纳米尺度物理 · 物理学 2020-05-27 Stefanos Papanikolaou , Giacomo Po

Additively manufactured structures often exhibit a correlation between their mechanical properties, such as stiffness, strength, and porosity, and their wall thickness. This correlation stems from the interplay between the manufacturing…

最优化与控制 · 数学 2024-03-26 Sukhminder Singh , Lukas Pflug , Fabian Wein , Michael Stingl

Filamentous bio-materials such as fibrin or collagen networks exhibit an enormous stiffening of their elastic moduli upon large deformations. This pronounced nonlinear behavior stems from a significant separation between the stiffnesses…

软凝聚态物质 · 物理学 2019-05-21 Robbie Rens , Carlos Villarroel , Gustavo Düring , Edan Lerner

This paper investigates the structure-property relations of thin-walled lattices under dynamic longitudinal compression, characterized by their cross-sections and heights. These relations elucidate the interactions of different geometric…

机器学习 · 计算机科学 2022-12-22 Junyan He , Shashank Kushwaha , Diab Abueidda , Iwona Jasiuk