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This article proposes a coupled thermomechanical finite element model tailored to the macroscale simulation of metal additive manufacturing processes such as selective laser melting. A first focus lies on the derivation of a consistent…

计算工程、金融与科学 · 计算机科学 2021-09-07 Sebastian D. Proell , Wolfgang A. Wall , Christoph Meier

Mesoscale simulations of woven composites using parameterized analytical geometries offer a way to connect constituent material properties and their geometric arrangement to effective composite properties and performance. However, the…

材料科学 · 物理学 2023-02-21 Collin W. Foster , Lincoln N. Collins , Francesco Panerai , Scott A. Roberts

Fully resolving dynamics of materials with rapidly-varying features involves expensive fine-scale computations which need to be conducted on macroscopic scales. The theory of homogenization provides an approach to derive effective…

数值分析 · 数学 2022-06-07 Kaushik Bhattacharya , Burigede Liu , Andrew M. Stuart , Margaret Trautner

The paper reviews several topics associated with the homogenization of transport processed in historical masonry structures. Since these often experience an irregular or random pattern, we open the subject by summarizing essential steps in…

材料科学 · 物理学 2012-11-21 Jan Sýkora , Jan Zeman , Michal Šejnoha

A two-layer statistically equivalent periodic unit cell is offered to predict a macroscopic response of plain weave multilayer carbon-carbon textile composites. Falling-short in describing the most typical geometrical imperfections of these…

材料科学 · 物理学 2013-09-06 Jan Vorel , Jan Zeman , Michal Šejnoha

We propose and study a neural operator framework for learning memory- and material microstructure-dependent constitutive laws for heterogeneous materials. We work in the two-scale setting where homogenization theory provides a systematic…

In multiscale modelling, multiple models are used simultaneously to describe scale-dependent phenomena in a system of interest. Here we introduce a machine learning (ML)-based multiscale modelling framework for modelling hierarchical…

地球物理 · 物理学 2022-04-13 Mark Ashworth , Ahmed Elsheikh , Florian Doster

The use of machine learning techniques to homogenize the effective behavior of arbitrary microstructures has been shown to be not only efficient but also accurate. In a recent work, we demonstrated how to combine state-of-the-art…

机器学习 · 计算机科学 2024-08-16 Kévin Garanger , Julie Kraus , Julian J. Rimoli

This paper presents a multiscale modeling framework (MMF) to model moist atmospheric limited-area weather. The MMF resolves large-scale convection using a coarse grid while simultaneously resolving local features through numerous fine local…

数值分析 · 数学 2024-07-09 Soonpil Kang , James F. Kelly , Anthony P. Austin , Francis X. Giraldo

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

Characterizing the connection between material design decisions/parameters and their effective properties allows for accelerated materials development and optimization. We present a global sensitivity analysis of woven composite…

计算工程、金融与科学 · 计算机科学 2021-04-29 Lincoln N. Collins , Scott A. Roberts

We consider the matrix composite materials (CM) of either random (statistically homogeneous or inhomogeneous), periodic, or deterministic (neither random nor periodic) structures. CMs exhibit linear or nonlinear behavior, coupled or…

经典物理 · 物理学 2025-12-23 Valeriy A. Buryachenko

The paper presents a new macroelement model for shallow foundations. The model is defined through a non-linear constitutive law written in terms of some generalized force and displacement parameters. The linear part of this constitutive law…

经典物理 · 物理学 2008-02-05 Charisis Chatzigogos , Alain Pecker , J. Salençon

Machine learning approaches informed by physics have offered new insights into the discovery of constitutive models from data, helping overcome some limitations of traditional constitutive modelling while reducing the cost of otherwise…

材料科学 · 物理学 2026-05-19 Filippo Masi

This paper presents a comprehensive approach to the evaluation of macroscopic material parameters for natural stone and quarry masonry. To that end, a reliable non-linear material model on a meso-scale is developed to cover the random…

材料科学 · 物理学 2008-09-16 J. Sejnoha , M. Sejnoha , J. Zeman , J. Sykora , J. Vorel

This paper presents a homogenization framework for elastomeric metamaterials exhibiting long-range correlated fluctuation fields. Based on full-scale numerical simulations on a class of such materials, an ansatz is proposed that allows to…

软凝聚态物质 · 物理学 2018-10-29 O. Rokoš , M. M. Ameen , R. H. J. Peerlings , M. G. D. Geers

The mechanical behavior of inelastic materials with microstructure is very complex and hard to grasp with heuristic, empirical constitutive models. For this purpose, multiscale, homogenization approaches are often used for performing…

材料科学 · 物理学 2022-06-22 Filippo Masi , Ioannis Stefanou

We numerically and theoretically study macroscopic properties of dense, sheared granular materials. In this process we first introduce an invariance in Newton's equations, explain how it leads to Bagnold's scaling, and discuss how it…

软凝聚态物质 · 物理学 2009-11-11 Gregg Lois , Anaël Lemaître , Jean M. Carlson

Machine Learning (ML) potentials such as Gaussian Approximation Potential (GAP) have demonstrated impressive capabilities in mapping structure to properties across diverse systems. Here, we introduce a GAP model for low-dimensional Ni…

Mechanical densification of granular bodies is a process in which a loose material becomes increasingly cohesive as the applied pressure increases. A constitutive description of this process faces the formidable problem that granular and…

数学物理 · 物理学 2015-05-20 Andrea Piccolroaz , Davide Bigoni , Alessandro Gajo
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