A two-scale FE-FFT approach to nonlinear magneto-elasticity (Q6555320)

scientific article; zbMATH DE number 7865158

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English	A two-scale FE-FFT approach to nonlinear magneto-elasticity	scientific article; zbMATH DE number 7865158

Statements

instance of

scholarly article

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title

A two-scale FE-FFT approach to nonlinear magneto-elasticity (English)

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author

Matthias Rambausek

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Felix Selim Göküzüm

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Lu Trong Khiem Nguyen

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Marc-André Keip

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published in

International Journal for Numerical Methods in Engineering

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publication date

14 June 2024

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zbMATH Keywords

FFT

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homogenization

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magneto-elasticity

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multiscale

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spectral

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Coupled Magnetomechanical Equations for Magnetically Saturated Insulators

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Q4490831

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Magnetoelastic modelling of elastomers

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Nonlinear magnetoelastic deformations of elastomers

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Nonlinear electroelasticity

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Nonlinear electroelastic deformations

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On finitely strained magnetorheological elastomers

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Electrostatic Forces and Stored Energy for Deformable Dielectric Materials

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A Modified Theory of Magnetic Effects in Elastic Materials

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Theory of elastic dielectrics revisited

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A nonlinear field theory of deformable dielectrics

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A multiscale approach to the computational characterization of magnetorheological elastomers

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Homogenization-based constitutive models for magnetorheological elastomers at finite strain

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$FE^2$ multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials

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A class of general algorithms for multi-scale analyses of heterogeneous media

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Two-scale homogenization of electromechanically coupled boundary value problems

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Two-scale computational homogenization of electro-elasticity at finite strains

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Variational Principles for Scattering Processes. I

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Q4297445

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Gauss and the history of the fast Fourier transform

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An Algorithm for the Machine Calculation of Complex Fourier Series

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Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients

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Efficient fixed point and Newton-Krylov solvers for FFT-based homogenization of elasticity at large deformations

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Improved guaranteed computable bounds on homogenized properties of periodic media by the Fourier-Galerkin method with exact integration

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Combining Galerkin approximation techniques with the principle of Hashin and Shtrikman to derive a new FFT-based numerical method for the homogenization of composites

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An FFT-based Galerkin method for homogenization of periodic media

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A finite element perspective on nonlinear FFT-based micromechanical simulations

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Finite strain FFT-based non-linear solvers made simple

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FFT‐based homogenization for microstructures discretized by linear hexahedral elements

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Fourier-accelerated nodal solvers (FANS) for homogenization problems

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Convergence of iterative methods based on Neumann series for composite materials: theory and practice

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A spectral method for three-dimensional elastodynamic fracture problems

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Macroscopic properties and field fluctuations in model power-law polycrystals: full-field solutions versus self-consistent estimates

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A model-reduction approach to the micromechanical analysis of polycrystalline materials

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Efficient and accurate two-scale FE-FFT-based prediction of the effective material behavior of elasto-viscoplastic polycrystals

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Effect of microstructure on the elasto-viscoplastic deformation of dual phase titanium structures

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Computational approach for composite materials with coupled constitutive laws

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A multiscale approach for modeling progressive damage of composite materials using fast Fourier transforms

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Deformation patterning in finite-strain crystal plasticity by spectral homogenization with application to magnesium

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Two-scale FE-FFT- and phase-field-based computational modeling of bulk microstructural evolution and macroscopic material behavior

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An algorithmically consistent macroscopic tangent operator for FFT-based computational homogenization

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On Variational Formulations in Nonlinear Magnetoelastostatics

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Homogenization and multiscale stability analysis in finite magneto-electro-elasticity. Application to soft matter EE, ME and MEE composites

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Analytical estimation of non-local deformation-mediated magneto-electric coupling in soft composites

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A 2-D coupled BEM-FEM simulation of electro-elastostatics at large strain

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On 3-D coupled BEM-FEM simulation of nonlinear electro-elastostatics

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Q4235028

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Two families of mixed finite elements for second order elliptic problems

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Efficient Assembly of $H(\mathrm{div})$ and $H(\mathrm{curl})$ Conforming Finite Elements

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Spectral Methods in MATLAB

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Computational stability analysis of periodic electroactive polymer composites across scales

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Geometric modeling, isogeometric analysis and the finite cell method

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The <i>hp-d</i> -adaptive finite cell method for geometrically nonlinear problems of solid mechanics

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The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models

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Identifiers

zbMATH Open document ID

1548.74883

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DOI

10.1002/nme.5993

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6555320