A model order reduction technique for FFT‐based microstructure simulation using a geometrically adapted reduced set of frequencies

to related objects

Abstract: The FFT‐based method introduced by Moulinec and Suquet [9] serves as an alternative for the classical finite element based simulation of periodic microstructures. This simulation approach makes use of fast Fourier transforms (FFT) as well as fixed‐point iterations to solve the microscopic boundary value problem which is captured by the Lippmann‐Schwinger equation. Kochmann et al. [5] introduced a model order reduction technique using a reduced set of frequencies to decrease the computational effort of solving the Lippmann‐Schwinger equation in Fourier space. This earlier proposed method is based on a fixed sampling pattern, which determines the reduced set of frequencies. Instead of the fixed sampling pattern, we propose to use a geometrically adapted choice of frequencies, which corresponds to the representation of phases within the considered microstructure.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: A model order reduction technique for FFT‐based microstructure simulation using a geometrically adapted reduced set of frequencies ; volume:21 ; number:1 ; year:2021 ; extent:2
Proceedings in applied mathematics and mechanics ; 21, Heft 1 (2021) (gesamt 2)

Creator: Gierden, Christian
Waimann, Johanna
Svendsen, Robert
Reese, Stefanie

DOI: 10.1002/pamm.202100061

URN: urn:nbn:de:101:1-2021121514231653208570

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:36 AM CEST

Data provider

This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.

Show original at data provider

Associated

Other Objects (12)

A model order reduction technique for FFT‐based microstructure simulation using a geometrically adapted reduced set of frequencies

A model order reduction technique for FFT‐based microstructure simulation using a geometrically adapted reduced set of frequencies

FFT-based simulation using a reduced set of frequencies adapted to the underlying microstructure

FFT-based simulation using a reduced set of frequencies adapted to the underlying microstructure

Model order reduction for FE-FFT-based multiscale material modeling

Model order reduction for FE-FFT-based multiscale material modeling

FFT-based homogenization using a reduced set of frequencies and a clustered microstructure

FFT-based homogenization using a reduced set of frequencies and a clustered microstructure

Efficient thermomechanically coupled FE‐FFT‐based multiscale simulation of polycrystals

Efficient thermomechanically coupled FE‐FFT‐based multiscale simulation of polycrystals

Efficient FE- and FFT-based two-scale methods for micro-heterogeneous media

Hochschulschrift

Efficient FE- and FFT-based two-scale methods for micro-heterogeneous media

FFT‐based simulation of evolving microstructures utilizing an adapting reduced set of Fourier modes

FFT‐based simulation of evolving microstructures utilizing an adapting reduced set of Fourier modes

Using a reduced set of Fourier modes in terms of a FFT-based microstructure simulation

Using a reduced set of Fourier modes in terms of a FFT-based microstructure simulation

Efficient thermomechanically coupled FE‐FFT‐based multiscale simulation of polycrystals

Efficient thermomechanically coupled FE‐FFT‐based multiscale simulation of polycrystals

Theoretical and algorithmic development of phase-field-based continuum models for microscopic dislocation processes in single crystals and comparison with atomistics

Theoretical and algorithmic development of phase-field-based continuum models for microscopic dislocation processes in single crystals and comparison with atomistics

Two‐scale FE‐FFT‐based thermo‐mechanically coupled modeling of elasto‐viscoplastic polycrystalline materials at finite strains

Two‐scale FE‐FFT‐based thermo‐mechanically coupled modeling of elasto‐viscoplastic polycrystalline materials at finite strains

Reduced FFT-Based Simulation of a Mechanically Loaded Clustered Microstructure Using an Adaptive Set of Fourier Modes

Reduced FFT-Based Simulation of a Mechanically Loaded Clustered Microstructure Using an Adaptive Set of Fourier Modes

A model order reduction technique for FFT‐based microstructure simulation using a geometrically adapted reduced set of frequencies

A model order reduction technique for FFT‐based microstructure simulation using a geometrically adapted reduced set of frequencies

FFT-based simulation using a reduced set of frequencies adapted to the underlying microstructure

FFT-based simulation using a reduced set of frequencies adapted to the underlying microstructure

Model order reduction for FE-FFT-based multiscale material modeling

Model order reduction for FE-FFT-based multiscale material modeling

FFT-based homogenization using a reduced set of frequencies and a clustered microstructure

FFT-based homogenization using a reduced set of frequencies and a clustered microstructure

Efficient thermomechanically coupled FE‐FFT‐based multiscale simulation of polycrystals

Efficient thermomechanically coupled FE‐FFT‐based multiscale simulation of polycrystals

Efficient FE- and FFT-based two-scale methods for micro-heterogeneous media

Hochschulschrift

Efficient FE- and FFT-based two-scale methods for micro-heterogeneous media

FFT‐based simulation of evolving microstructures utilizing an adapting reduced set of Fourier modes

FFT‐based simulation of evolving microstructures utilizing an adapting reduced set of Fourier modes

Using a reduced set of Fourier modes in terms of a FFT-based microstructure simulation

Using a reduced set of Fourier modes in terms of a FFT-based microstructure simulation

Efficient thermomechanically coupled FE‐FFT‐based multiscale simulation of polycrystals

Efficient thermomechanically coupled FE‐FFT‐based multiscale simulation of polycrystals

Theoretical and algorithmic development of phase-field-based continuum models for microscopic dislocation processes in single crystals and comparison with atomistics

Theoretical and algorithmic development of phase-field-based continuum models for microscopic dislocation processes in single crystals and comparison with atomistics

Two‐scale FE‐FFT‐based thermo‐mechanically coupled modeling of elasto‐viscoplastic polycrystalline materials at finite strains

Two‐scale FE‐FFT‐based thermo‐mechanically coupled modeling of elasto‐viscoplastic polycrystalline materials at finite strains

Reduced FFT-Based Simulation of a Mechanically Loaded Clustered Microstructure Using an Adaptive Set of Fourier Modes

Reduced FFT-Based Simulation of a Mechanically Loaded Clustered Microstructure Using an Adaptive Set of Fourier Modes

A model order reduction technique for FFT‐based microstructure simulation using a geometrically adapted reduced set of frequencies

A model order reduction technique for FFT‐based microstructure simulation using a geometrically adapted reduced set of frequencies

FFT-based simulation using a reduced set of frequencies adapted to the underlying microstructure

FFT-based simulation using a reduced set of frequencies adapted to the underlying microstructure

Model order reduction for FE-FFT-based multiscale material modeling

Model order reduction for FE-FFT-based multiscale material modeling

FFT-based homogenization using a reduced set of frequencies and a clustered microstructure

FFT-based homogenization using a reduced set of frequencies and a clustered microstructure

Efficient thermomechanically coupled FE‐FFT‐based multiscale simulation of polycrystals

Efficient thermomechanically coupled FE‐FFT‐based multiscale simulation of polycrystals

Efficient FE- and FFT-based two-scale methods for micro-heterogeneous media

Hochschulschrift

Efficient FE- and FFT-based two-scale methods for micro-heterogeneous media

FFT‐based simulation of evolving microstructures utilizing an adapting reduced set of Fourier modes

FFT‐based simulation of evolving microstructures utilizing an adapting reduced set of Fourier modes

Using a reduced set of Fourier modes in terms of a FFT-based microstructure simulation

Using a reduced set of Fourier modes in terms of a FFT-based microstructure simulation

Efficient thermomechanically coupled FE‐FFT‐based multiscale simulation of polycrystals

Efficient thermomechanically coupled FE‐FFT‐based multiscale simulation of polycrystals

Theoretical and algorithmic development of phase-field-based continuum models for microscopic dislocation processes in single crystals and comparison with atomistics

Theoretical and algorithmic development of phase-field-based continuum models for microscopic dislocation processes in single crystals and comparison with atomistics

Two‐scale FE‐FFT‐based thermo‐mechanically coupled modeling of elasto‐viscoplastic polycrystalline materials at finite strains

Two‐scale FE‐FFT‐based thermo‐mechanically coupled modeling of elasto‐viscoplastic polycrystalline materials at finite strains

Reduced FFT-Based Simulation of a Mechanically Loaded Clustered Microstructure Using an Adaptive Set of Fourier Modes

Reduced FFT-Based Simulation of a Mechanically Loaded Clustered Microstructure Using an Adaptive Set of Fourier Modes

Cultural heritage institutions wishing to register will find more information here.

Fields marked * need to be filled in.

Username*

Please enter your username

Email*

Please enter your email address

Please do not fill this field

First name

Last name

Password*

Please enter your password

Confirm password*

Please enter the same password

I have read the terms of use and the privacy policy for the collection of personal data and accept them. *

This field is required.

I would like to subscribe to the newsletter of the Deutsche Digitale Bibliothek. See newsletter subscription info.

Account created

Your "My DDB" account has been successfully created. Before you can log in to your account, you must click the confirmation link in the message we just sent to the email address you provided.