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Computational material modeling using advanced numerical techniques speeds up the design process and reduces the costs of developing new engineering products. In the field of multiscale modeling, huge computation efforts are expected for…

Disordered Systems and Neural Networks · Physics 2023-01-31 Fadi Aldakheel , Celal Soyarslan , Hari Subramani Palanisamy , Elsayed Saber Elsayed

Thin beams made of magnetorheological elastomers embedded with hard magnetic particles (hard-MREs) are capable of large deflections under an applied magnetic field. We propose a comprehensive framework, comprising a beam model and 3D finite…

Soft Condensed Matter · Physics 2021-07-01 Dong Yan , Arefeh Abbasi , Pedro M. Reis

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…

Numerical Analysis · Mathematics 2022-02-11 Vladimír Lukeš , Eduard Rohan

We study the large-scale behavior of a small-strain lattice model for a network composed of elastoplastic springs with random material properties. We formulate the model as an evolutionary rate independent system (ERIS). In an earlier work…

Numerical Analysis · Mathematics 2022-09-27 Sabine Haberland , Patrick Jaap , Stefan Neukamm , Oliver Sander , Mario Varga

We investigate a variational theory for magnetoelastic solids under the incompressibility constraint. The state of the system is described by deformation and magnetization. While the former is classically related to the reference…

Analysis of PDEs · Mathematics 2015-01-08 Martin Kružík , Ulisse Stefanelli , Jan Zeman

We analyze the magnetostriction effect occurring in the magneto-sensitive elastomers (MSEs) containing inhomogeneously magnetized particles. As it was shown before, the expression for the interaction potential between two magnetic spheres,…

Soft Condensed Matter · Physics 2023-04-26 Dmytro Yaremchuk , Dmytro Ivaneyko , Jaroslav Ilnytskyi

Magnetoelastic composites are integral elements of sensors and actuators utilizing magnetostriction for their functionality. Their sensitivity typically scales with the saturation magnetostriction and inversely with magnetic anisotropy.…

In this manuscript, we extend the variational multiscale enrichment (VME) method to model the dynamic response of hyperelastic materials undergoing large deformations. This approach enables the simulation of wave propagation under…

Computational Engineering, Finance, and Science · Computer Science 2025-11-19 Abhishek Arora , Caglar Oskay

Multiscale techniques have been widely shown to potentially overcome the limitation of homogenization schemes in representing the microscopic failure mechanisms in heterogeneous media as well as their influence on their structural response…

Numerical Analysis · Mathematics 2021-08-10 Fabrizio Greco , Lorenzo Leonetti , Paolo Lonetti , Raimondo Luciano , Andrea Pranno

In this work we continue the investigation of different approaches to conception and modeling of composite materials. The global method we focus on, is called 'stochastic homogenization'. In this approach, the classical deterministic…

Computational Engineering, Finance, and Science · Computer Science 2018-02-07 Vladimir Salnikov , Daniel Choi , Philippe Karamian-Surville

A coupled hygro-thermo-mechanical computational model is proposed for fibre reinforced polymers, formulated within the framework of Computational Homogenisation (CH). At each macrostructure Gauss point, constitutive matrices for thermal,…

Computational Engineering, Finance, and Science · Computer Science 2016-10-14 Zahur Ullah , Lukasz Kaczmarczyk , Sotirios Grammatikos , Mark Evernden , Chris Pearce

This paper concerns the rigorous periodic homogenization for a non-linear strongly coupled system, which models a suspension of magnetizable rigid particles in a non-conducting carrier viscous Newtonian fluid. The fluid drags the particles,…

Analysis of PDEs · Mathematics 2022-02-15 Thuyen Dang , Yuliya Gorb , Silvia Jiménez Bolaños

The purpose of this study is to inspect the combined effect of reinforcement shape and packing on the macroscopic behaviour of particulate composites. The introduced micromechanical approach modifies the Morphologically Representative…

Soft Condensed Matter · Physics 2025-05-01 M. Majewski

The last decade has witnessed the emergence of magneto-active polymers (MAPs) as one of the most advanced multi-functional soft composites. Depending on the magnetisation mechanisms and responsive behaviour, MAPs are mainly classified into…

Computational Engineering, Finance, and Science · Computer Science 2021-09-03 Chennakesava Kadapa , Mokarram Hossain

We study the mechanics of a reversible decohesion (unzipping) of an elastic layer subjected to quasi-static end-point loading. At the micro level the system is simulated by an elastic chain of particles interacting with a rigid foundation…

Other Quantitative Biology · Quantitative Biology 2015-05-13 F. Maddalena , D. Percivale , G. Puglisi , L. Truskinovsky

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…

Computational Engineering, Finance, and Science · Computer Science 2015-07-28 Claudio Maruccio , Laura De Lorenzis , Luana Persano , Dario Pisignano

This research investigates dynamic response of tunable periodic structures and homogenization methods in magnetoelastic composites (MECs). The research on tunable periodic structures is focused on the design, modeling and understanding of…

Applied Physics · Physics 2018-10-16 Alireza Bayat

The motivation of this work is to produce an integrated formulation for material response due to detonation wave loading. Here, we focus on elastoplastic structural response. In particular, we are interested to capture miscible and…

Computational Physics · Physics 2021-11-03 Maria Nikodemou , Louisa Michael , Nikolaos Nikiforakis

This paper presents a new adaptive multiscale homogenization scheme for the simulation of damage and fracture in concrete structures. A two-scale homogenization method, coupling meso-scale discrete particle models to macro- scale finite…

Computational Engineering, Finance, and Science · Computer Science 2017-02-03 Roozbeh Rezakhani , Xinwei Zhou , Gianluca Cusatis

We propose and analyze a class of finite element methods for the time-dependent incompressible magnetohydrodynamics system based on $H(\mathrm{curl})$-conforming discretizations for both the velocity and the magnetic field. This choice is…

Numerical Analysis · Mathematics 2026-04-08 Lourenço Beirão da Veiga , Sergio Gómez , Ilaria Perugia , Enrico Zampa