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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

A general-purpose computational homogenization framework is proposed for the nonlinear dynamic analysis of membranes exhibiting complex microscale and/or mesoscale heterogeneity characterized by in-plane periodicity that cannot be…

计算工程、金融与科学 · 计算机科学 2021-01-28 Philip Avery , Daniel Z. Huang , Wanli He , Johanna Ehlers , Armen Derkevorkian , Charbel Farhat

This paper presents volumetric homogenization, a spatially varying homogenization scheme for knitwear simulation. We are motivated by the observation that macro-scale fabric dynamics is strongly correlated with its underlying knitting…

图形学 · 计算机科学 2024-10-01 Chun Yuan , Haoyang Shi , Lei Lan , Yuxing Qiu , Cem Yuksel , Huamin Wang , Chenfanfu Jiang , Kui Wu , Yin Yang

Virtual garment simulation has become increasingly important with applications in garment design and virtual try-on. However, reproducing garments faithfully remains a cumbersome process. We propose an end-to-end method for estimating…

图形学 · 计算机科学 2024-01-30 Joy Xiaoji Zhang , Gene Wei-Chin Lin , Lukas Bode , Hsiao-yu Chen , Tuur Stuyck , Egor Larionov

The paper presents two-scale numerical algorithms for stress-strain analysis of porous media featured by self-contact at pore level. The porosity is constituted as a periodic lattice generated by a representative cell consisting of elastic…

偏微分方程分析 · 数学 2023-01-18 Eduard Rohan , Jan Heczko

This work presents a multi-level modeling and design framework for weft knitted fabrics, beginning with a volumetric finite element analysis capturing their mechanical behavior from fundamental principles. Incorporating yarn-level data, it…

Wrinkling is the phenomenon of out-of-plane deformation patterns in thin walled structures, as a result of a local compressive (internal) loads in combination with a large membrane stiffness and a small but non-zero bending stiffness.…

数值分析 · 数学 2025-03-20 H. M. Verhelst , M. Möller , J. H. Den Besten

A three-dimensional multi-scale computational homogenisation framework is developed for the prediction of nonlinear micro/meso-mechanical response of the fibre-reinforced polymer (FRP) composites. Two dominant damage mechanisms, i.e. matrix…

计算工程、金融与科学 · 计算机科学 2016-10-18 Zahur Ullah , Lukasz Kaczmarczyk , Chris J. Pearce

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…

Mechanical metamaterials feature engineered microstructures designed to exhibit exotic, and often counter-intuitive, effective behaviour. Such a behaviour is often achieved through instability-induced transformations of the underlying…

计算工程、金融与科学 · 计算机科学 2020-09-04 S. E. H. M. van Bree , O. Rokoš , R. H. J. Peerlings , M. Doškář , M. G. D. Geers

In homogenization theory, mathematical models at the macro level are constructed based on the solution of auxiliary cell problems at the micro level within a single periodicity cell. These problems are formulated using asymptotic expansions…

数值分析 · 数学 2025-06-10 P. N. Vabishchevich

The two-scale computational homogenization method is proposed for modelling of locally periodic fluid-saturated media subjected a to large deformation induced by quasistatic loading. The periodic heterogeneities are relevant to the…

数值分析 · 数学 2022-02-11 Vladimír Lukeš , Eduard Rohan

Biomembranes play a central role in various phenomena like locomotion of cells, cell-cell interactions, packaging of nutrients, and in maintaining organelle morphology and functionality. During these processes, the membranes undergo…

The growing use of composite materials in engineering applications has accelerated the demand for computational methods to accurately predict their complex behavior. Multiscale modeling based on computational homogenization is a potentially…

This work presents a new hybrid discretization approach to alleviate membrane locking in isogeometric finite element formulations for Kirchhoff-Love shells. The approach is simple, and requires no additional dofs and no static condensation.…

计算工程、金融与科学 · 计算机科学 2025-09-09 Roger A. Sauer , Zhihui Zou , Thomas J. R. Hughes

The work is devoted to the development and computational implementation of the homogenization method for modeling unsteady flows of a viscous incompressible fluid in periodic porous media taking into account memory effects. At the…

数值分析 · 数学 2026-04-29 P. N. Vabishchevich

A new nonlinear hyperelastic bending model for shells formulated directly in surface form is presented, and compared to four prominently used bending models. Through an essential set of elementary nonlinear bending test cases, the stresses…

计算工程、金融与科学 · 计算机科学 2023-04-20 Eshwar J. Savitha , Roger A. Sauer

Numerical modeling of strength and non-destructive testing of complex structures such as buildings, space rockets or oil reservoirs often involves calculations on extremely large grids. The modeling of elastic wave processes in solids…

数值分析 · 数学 2025-09-12 Katerina Beklemysheva , Egor Michel , Andrey Ovsiannikov

This work considers simultaneous homogenization dimension reduction of a poroelastic model for thin fiber-reinforced hydrogels. The analysed medium is defined as a two-component system consisting of a continuous fiber framework with…

偏微分方程分析 · 数学 2026-02-03 Amartya Chakrabortty , Haradhan Dutta , Hari Shankar Mahato

This work presents a numerical formulation to model isotropic viscoelastic material behavior for membranes and thin shells. The surface and the shell theory are formulated within a curvilinear coordinate system, which allows the…

计算工程、金融与科学 · 计算机科学 2022-08-24 Karsten Paul , Roger A. Sauer
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