Work

Dirichlet Boundary Conditions for FFT‐Based Micromechanics of Bicontinuous Stochastic Microstructures

Year: 2024

Type: article

Abstract: ABSTRACT Computational homogenization may be used to evaluate effective properties of microstructured materials. As digital imaging techniques generally generate microstructure information on a regular grid, a common approach to compute the effective properties of the microstructured materials is to use fast Fourier transform (FFT)‐based methods. Traditionally, this approach involves periodic boundary conditions. However, for certain microstructure types, nonperiodic boundary conditions are of interest. In this work, we show how to efficiently impose Dirichlet boundary conditions for FFT‐based micromechanics on stochastic bicontinuous microstructures in combinations with a linear conjugate gradient (CG) solver. Consequently, we compute the effective properties of bicontinuous stochastic microstructures and compare the results to values reported in the literature computed by a finite element (FE) code.

Source: PAMM

DOI: 10.1002/pamm.202400182

Authors: Lennart Risthaus, Matti Schneider

Institutions: University of Duisburg-Essen, Fraunhofer Institute for Industrial Mathematics

Language: English

Topic: Composite Material Mechanics

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Deutsche Forschungsgemeinschaft, HORIZON EUROPE Framework Programme, European Research Council, HORIZON EUROPE European Research Council