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Composite materials often exhibit mechanical anisotropy owing to the material properties or geometrical configurations of the microstructure. This makes their inverse design a two-fold problem. First, we must learn the type and orientation…

计算工程、金融与科学 · 计算机科学 2024-12-19 Asghar A. Jadoon , Karl A. Kalina , Manuel K. Rausch , Reese Jones , Jan N. Fuhg

A long-standing challenge is designing multi-scale structures with good connectivity between cells while optimizing each cell to reach close to the theoretical performance limit. We propose a new method for direct multi-scale topology…

神经与进化计算 · 计算机科学 2025-02-21 Hongrui Chen , Xingchen Liu , Levent Burak Kara

Accurate modeling of Short Fiber Reinforced Composites (SFRCs) remains computationally expensive for full-field simulations. Data-driven surrogate models using Artificial Neural Networks (ANNs) have been proposed as an efficient alternative…

计算物理 · 物理学 2026-03-03 Petter Uvdal , Mohsen Mirkhalaf

We propose to homogenize a periodic (along one direction) structure, first in order to verify the quasi-static prediction of its response to an acoustic wave arising from mixing theory, then to address the question of what becomes of this…

应用物理 · 物理学 2018-03-14 Armand Wirgin

The morphology of nanostructured materials exhibiting a polydisperse porous space, such as aerogels, is very open porous and fine grained. Therefore, a simulation of the deformation of a large aerogel structure resolving the nanostructure…

数值分析 · 数学 2024-03-04 Axel Klawonn , Martin Lanser , Lucas Mager , Ameya Rege

An artificial neural-network-based subgrid-scale model using the resolved stress, which is capable of predicting untrained decaying isotropic turbulence, is developed. Providing the grid-scale strain-rate tensor alone as input leads the…

流体动力学 · 物理学 2023-05-17 Myeongseok Kang , Youngmin Jeon , Donghyun You

Computational experiments are exploited in finding a well-designed processing path to optimize material structures for desired properties. This requires understanding the interplay between the processing-(micro)structure-property linkages…

计算工程、金融与科学 · 计算机科学 2023-05-04 Junrong Lin , Mahmudul Hasan , Pinar Acar , Jose Blanchet , Vahid Tarokh

Real-world physical systems, like composite materials and porous media, exhibit complex heterogeneities and multiscale nature, posing significant computational challenges. Computational homogenization is useful for predicting macroscopic…

计算工程、金融与科学 · 计算机科学 2024-07-29 Yuki Sato , Yuto Lewis Terashima , Ruho Kondo

The existence of a plethora of language models makes the problem of selecting the best one for a custom task challenging. Most state-of-the-art methods leverage transformer-based models (e.g., BERT) or their variants. Training such models…

机器学习 · 计算机科学 2022-05-25 Shikhar Tuli , Bhishma Dedhia , Shreshth Tuli , Niraj K. Jha

We propose a deep neural network (DNN) as a fast surrogate model for local stress (and in principle strain) calculation in inhomogeneous non-linear material systems. We show that the DNN predicts the local stresses with about 3.8% mean…

材料科学 · 物理学 2021-03-17 Jaber Rezaei Mianroodi , Nima H. Siboni , Dierk Raabe

Using the equivalent inclusion method (a method strongly related to the Hashin-Shtrikman variational principle) as a surrogate model, we propose a variance reduction strategy for the numerical homogenization of random composites made of…

计算工程、金融与科学 · 计算机科学 2023-04-04 Sebastien Brisard , Michael Bertin , Frederic Legoll

Microstructure evolution, which plays a critical role in determining materials properties, is commonly simulated by the high-fidelity but computationally expensive phase-field method. To address this, we approximate microstructure evolution…

材料科学 · 物理学 2024-11-22 Saurabh Tiwari , Prathamesh Satpute , Supriyo Ghosh

Heterogeneous porous materials play a crucial role in various engineering systems. Microstructure characterization and reconstruction provide effective means for modeling these materials, which are critical for conducting physical property…

Multiscale homogenization of woven composites requires detailed micromechanical evaluations, leading to high computational costs. Data-driven surrogate models based on neural networks address this challenge but often suffer from big data…

Heterogeneous materials, crucial in various engineering applications, exhibit complex multiscale behavior, which challenges the effectiveness of traditional computational methods. In this work, we introduce the Micromechanics Transformer…

计算工程、金融与科学 · 计算机科学 2024-10-10 Sifan Wang , Tong-Rui Liu , Shyam Sankaran , Paris Perdikaris

Surrogate models are used to reduce the burden of expensive-to-evaluate objective functions in optimization. By creating models which map genomes to objective values, these models can estimate the performance of unknown inputs, and so be…

神经与进化计算 · 计算机科学 2019-07-17 Alexander Hagg , Martin Zaefferer , Jörg Stork , Adam Gaier

Exotic behaviour of mechanical metamaterials often relies on an internal transformation of the underlying microstructure triggered by its local instabilities, rearrangements, and rotations. Depending on the presence and magnitude of such a…

软凝聚态物质 · 物理学 2020-04-16 Ondřej Rokoš , Jan Zeman , Martin Doškář , Petr Krysl

Understanding structure-property relations is essential to optimally design materials for specific applications. Two-scale simulations are often employed to analyze the effect of the microstructure on a component's macroscopic properties.…

计算工程、金融与科学 · 计算机科学 2022-10-25 Theron Guo , Francesco A. B. Silva , Ondřej Rokoš , Karen Veroy

Recently, several optimization methods have been successfully applied to the hyperparameter optimization of deep neural networks (DNNs). The methods work by modeling the joint distribution of hyperparameter values and corresponding error.…

机器学习 · 计算机科学 2016-08-02 Ilija Ilievski , Jiashi Feng

Random microstructures of heterogeneous materials play a crucial role in the material macroscopic behavior and in predictions of its effective properties. A common approach to modeling random multiphase materials is to develop so-called…