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An approach to the mechanical behaviour of textile composites at the scale of their constituting fibres, using an implicit finite element simulation code, is proposed in this chapter. The approach is based on efficient methods and…

综合物理 · 物理学 2012-01-24 Damien Durville

Rod-like metamaterials are the structures that are obtained by periodically assembling its microstructural unit (network of rods) in just one direction. In this work, we present a scheme for obtaining the nonlinear constitutive response of…

材料科学 · 物理学 2026-05-13 Vinayak , Ajeet Kumar

This paper presents an initial exploration of stress-assisted diffusion problems in three dimensions within the framework of the virtual element method (VEM). Hilbert spaces enriched with parameter-weighted norms, the extended…

数值分析 · 数学 2025-02-05 Andres E. Rubiano

Elastomers are viscoelastic materials and their properties significantly depend on the loading rate. The actual stress experienced by these materials is the sum of equilibrium and dissipative (inelastic) terms. At very low loading rates we…

软凝聚态物质 · 物理学 2018-03-14 K. A. Mokhireva , A. L. Svistkov

One remarkable feature of virtual element methods (VEMs) is their great flexibility and robustness when used on almost arbitrary polytopal meshes. This very feature makes it widely used in both fitted and unfitted mesh methods. Despite…

数值分析 · 数学 2025-01-09 Ruchi Guo

We used numerical simulations based on the finite element method (FEM) to calculate both the amplitude and phase information of the scattered electric field from random rough surfaces, which can be directly compared to ellipsometric…

计算物理 · 物理学 2019-02-27 B. Fodor , P. Kozma , S. Burger , M. Fried , P. Petrik

The Virtual Element Method (VEM) is a well-established framework for solving partial differential equations on polygonal and polyhedral meshes. In this paper, we introduce a novel hybrid VEM that integrates both conforming and nonconforming…

数值分析 · 数学 2026-05-28 L. Beirão da Veiga , F. Dassi , A. Russo , M. Trezzi

Recently, large offshore wind power plants have been installed far from the shore, using long HVAC three-core armored cables to export power. Its high capacitance may contribute to the appearance of unwanted phenomena, such as overvoltages…

系统与控制 · 电气工程与系统科学 2024-01-25 Juan Carlos del-Pino-López , Pedro Cruz-Romero

Flexible piezoelectric devices made of polymeric materials are widely used for micro- and nano-electro-mechanical systems. In particular, numerous recent applications concern energy harvesting. Due to the importance of computational…

计算物理 · 物理学 2014-10-06 Claudio Maruccio , Laura De Lorenzis , Luana Persano , Dario Pisignano

The elastic properties of a material with spherical voids of equal volume are analysed using a new model, with particular attention paid to the hexagonal close-packed and the face-centred cubic arrangement of voids. Void fractions well…

材料科学 · 物理学 2016-11-11 Sascha Heitkam , Wiebke Drenckhan , Denis Weaire , Jochen Froehlich

A precise domain triangulation is recognized as indispensable for the accurate numerical approximation of differential operators within collocation methods, leading to a substantial reduction in discretization errors. An efficient finite…

数值分析 · 数学 2025-07-15 G. Shylaja , V. Kesavulu Naidu , B. Venkatesh , S. M. Mallikarjunaiah

This paper introduces an advanced Computational Analytical Micromechanics (CAM) framework for linear thermoelastic composites (CMs) with periodic microstructures. The approach is based on an exact new Additive General Integral Equation…

计算物理 · 物理学 2026-01-05 V. A. Buryachenko

The major challenge in determining a hyperelastic model for a given material is the choice of invariants and the selection how the strain energy function depends functionally on these invariants. Here we introduce a new data-driven…

软凝聚态物质 · 物理学 2025-09-19 Denisa Martonová , Alain Goriely , Ellen Kuhl

Numerical homogenization for mechanical multiscale modeling by means of the finite element method (FEM) is an elegant way of obtaining structure-property relations, if the behavior of the constituents of the lower scale is well understood.…

数值分析 · 数学 2025-08-07 Nils Lange , Geralf Hütter , Bjoern Kiefer

Simulation in media with multiple continua where each continuum interacts with every other is often challenging due to multiple scales and high contrast. One needs some types of model reduction. One of the approaches is multi-continuum…

数值分析 · 数学 2019-06-12 Jun Sur Richard Park , Viet Ha Hoang

The conformal formulation of the Einstein constraint equations is first reviewed, and we then consider the design, analysis, and implementation of adaptive multilevel finite element-type numerical methods for the resulting coupled nonlinear…

广义相对论与量子宇宙学 · 物理学 2009-04-07 Burak Aksoylu , David Bernstein , Stephen Bond , Michael Holst

Physical experiments can characterize the elastic response of granular materials in terms of macroscopic state-variables, namely volume (packing) fraction and stress, while the microstructure is not accessible and thus neglected. Here, by…

软凝聚态物质 · 物理学 2015-06-16 Nishant Kumar , Stefan Luding , Vanessa Magnanimo

Multiscale optimization is an attractive research field recently. For the most of optimization tools, design parameters should be updated during a close loop. Therefore, a simple Python code is programmed to obtain effective properties of…

计算工程、金融与科学 · 计算机科学 2017-03-14 Fan Ye , Hu Wang

Driven by the need to accelerate numerical simulations, the use of machine learning techniques is rapidly growing in the field of computational solid mechanics. Their application is especially advantageous in concurrent multiscale finite…

数值分析 · 数学 2023-03-22 M. A. Maia , I. B. C. M. Rocha , P. Kerfriden , F. P. van der Meer

Biological soft tissues exhibit substantial inter-subject variability, making the automation of constitutive material modeling essential for patient-specific analysis and design. Such materials are not only highly nonlinear but also display…

计算物理 · 物理学 2026-04-16 Bahador Bahmani