A multiscale FE-FFT framework for electro-active materials at finite strains
DOI10.1007/s00466-018-1657-7zbMath1465.74160OpenAlexW2909307861WikidataQ113327170 ScholiaQ113327170MaRDI QIDQ1999555
Felix Selim Göküzüm, Marc-André Keip, Lu Trong Khiem Nguyen
Publication date: 27 June 2019
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-018-1657-7
finite element methodfast Fourier transformeffective propertycomputational homogenizationLippmann-Schwinger equation
Finite element methods applied to problems in solid mechanics (74S05) Effective constitutive equations in solid mechanics (74Q15) Electromagnetic effects in solid mechanics (74F15) Spectral and related methods applied to problems in solid mechanics (74S25)
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Cites Work
- Fourier-based strength homogenization of porous media
- Efficient fixed point and Newton-Krylov solvers for FFT-based homogenization of elasticity at large deformations
- \(FE^{2}\) computational homogenization for the thermo-mechanical analysis of heterogeneous solids
- Combining Galerkin approximation techniques with the principle of Hashin and Shtrikman to derive a new FFT-based numerical method for the homogenization of composites
- A multiscale approach for modeling progressive damage of composite materials using fast Fourier transforms
- Gauss and the history of the fast Fourier transform
- A variational approach to the theory of the elastic behaviour of multiphase materials
- Bounds for effective elastic moduli of disordered materials
- Bounds and self-consistent estimates for the overall properties of anisotropic composites
- Two-scale computational homogenization of electro-elasticity at finite strains
- A fiber orientation-adapted integration scheme for computing the hyperelastic Tucker average for short fiber reinforced composites
- Nonlinear electroelasticity
- A numerical method for computing the overall response of nonlinear composites with complex microstructure
- Two-scale homogenization of electromechanically coupled boundary value problems
- Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients
- Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials
- Computational stability analysis of periodic electroactive polymer composites across scales
- Efficient and accurate two-scale FE-FFT-based prediction of the effective material behavior of elasto-viscoplastic polycrystals
- Fourier-accelerated nodal solvers (FANS) for homogenization problems
- Finite strain FFT-based non-linear solvers made simple
- An FFT-based Galerkin method for homogenization of periodic media
- Homogenization and multiscale stability analysis in finite magneto-electro-elasticity. Application to soft matter EE, ME and MEE composites
- Two-scale FE-FFT- and phase-field-based computational modeling of bulk microstructural evolution and macroscopic material behavior
- Elastic properties of reinforced solids: Some theoretical principles
- Fourier-based schemes with modified Green operator for computing the electrical response of heterogeneous media with accurate local fields
- A multiscale approach to the computational characterization of magnetorheological elastomers
- Improved guaranteed computable bounds on homogenized properties of periodic media by the Fourier-Galerkin method with exact integration
- Electrostatic Forces and Stored Energy for Deformable Dielectric Materials
- Numerical modelling of non-linear electroelasticity
- Computational homogenization for heat conduction in heterogeneous solids
- The Theory of Composites
- FFT‐based homogenization for microstructures discretized by linear hexahedral elements
- A numerical two-scale homogenization scheme: the FE2-method
- An Algorithm for the Machine Calculation of Complex Fourier Series
- Variational Principles for Scattering Processes. I
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- Unnamed Item
- Unnamed Item
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