Imposing Dirichlet boundary conditions directly for FFT-based computational micromechanics (Q6661931)

scientific article; zbMATH DE number 7966088

Language	Label	Description	Also known as
English	Imposing Dirichlet boundary conditions directly for FFT-based computational micromechanics	scientific article; zbMATH DE number 7966088

Statements

instance of

scholarly article

0 references

title

Imposing Dirichlet boundary conditions directly for FFT-based computational micromechanics (English)

0 references

0 references

0 references

Computational Mechanics

0 references

publication date

13 January 2025

0 references

zbMATH Keywords

FFT-based computational micromechanics

0 references

Dirichlet boundary conditions

0 references

discrete sine transform

0 references

discrete cosine transform

0 references

computational homogenization

0 references

MaRDI profile type

Publication

0 references

cites work

Two-Point Step Size Gradient Methods

0 references

A model problem concerning recoverable strains of shape-memory polycrystals

0 references

Effective properties of elastic periodic composite media with fibers

0 references

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

0 references

Finite strain FFT-based non-linear solvers made simple

0 references

Effective properties of the octet-truss lattice material

0 references

A second-moment incremental formulation for the mean-field homogenization of elasto-plastic composites

0 references

Lippmann-Schwinger solvers for the explicit jump discretization for thermal computational homogenization problems

0 references

A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites.

0 references

A fast Fourier transform based method for computing the effective crack energy of a heterogeneous material on a combinatorially consistent grid

0 references

Fast implicit solvers for phase-field fracture problems on heterogeneous microstructures

0 references

FFT-based high order central difference schemes for three-dimensional Poisson's equation with various types of boundary conditions

0 references

On the boundary-value problems of the theory of elasticity and Korn's inequality

0 references

PoisFFT -- a free parallel fast Poisson solver

0 references

FFT-based simulations of heterogeneous conducting materials with combined non-uniform Neumann, periodic and Dirichlet boundary conditions

0 references

A multiscale FE-FFT framework for electro-active materials at finite strains

0 references

Filtering material properties to improve FFT-based methods for numerical homogenization

0 references

Runtime optimization of a memory efficient CG solver for FFT-based homogenization: implementation details and scaling results for linear elasticity

0 references

FFT-based homogenization with mixed uniform boundary conditions

0 references

On overall properties of elastic heterogeneous bodies smaller than the representative volume

0 references

Elastic properties of reinforced solids: Some theoretical principles

0 references

Mixed strain/stress gradient loadings for FFT-based computational homogenization methods

0 references

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

0 references

Use of composite voxels in FFT-based homogenization

0 references

Mixed boundary conditions for FFT-based homogenization at finite strains

0 references

The composite voxel technique for inelastic problems

0 references

Determination of the size of the representative volume element for random composites: Statistical and numerical approach.

0 references

Dynamic mechanical analysis of pure and fiber-reinforced thermoset- and thermoplastic-based polymers and free volume-based viscoelastic modeling

0 references

Bounds for effective elastic moduli of disordered materials

0 references

An optimal preconditioned FFT-accelerated finite element solver for homogenization

0 references

Q4455007

0 references

Fourier-accelerated nodal solvers (FANS) for homogenization problems

0 references

An algorithm for stress and mixed control in Galerkin-based FFT homogenization

0 references

DBFFT: a displacement based FFT approach for non-linear homogenization of the mechanical behavior

0 references

Adaptation and validation of FFT methods for homogenization of lattice based materials

0 references

FFT-based homogenization of hypoelastic plasticity at finite strains

0 references

Combining FFT methods and standard variational principles to compute bounds and estimates for the properties of elastic composites

0 references

A polarization-based FFT iterative scheme for computing the effective properties of elastic composites with arbitrary contrast

0 references

FFT based iterative schemes for composite conductors with uniform boundary conditions

0 references

A fast numerical method for the conductivity of heterogeneous media with Dirichlet boundary conditions based on discrete sine-cosine transforms

0 references

Comparison of three accelerated FFT-based schemes for computing the mechanical response of composite materials

0 references

Q4297445

0 references

A numerical method for computing the overall response of nonlinear composites with complex microstructure

0 references

Q3798341

0 references

Numerical Optimization

0 references

Periodization of random media and representative volume element size for linear composites

0 references

An implicit FFT-based method for wave propagation in elastic heterogeneous media

0 references

Convergence of FFT‐based homogenization for strongly heterogeneous media

0 references

An FFT-based fast gradient method for elastic and inelastic unit cell homogenization problems

0 references

On the Barzilai-Borwein basic scheme in FFT-based computational homogenization

0 references

On the mathematical foundations of the self-consistent clustering analysis for non-linear materials at small strains

0 references

A dynamical view of nonlinear conjugate gradient methods with applications to FFT-based computational micromechanics

0 references

Lippmann-Schwinger solvers for the computational homogenization of materials with pores

0 references

A review of nonlinear FFT-based computational homogenization methods

0 references

On non-stationary polarization methods in FFT-based computational micromechanics

0 references

Superaccurate effective elastic moduli via postprocessing in computational homogenization

0 references

On the effectiveness of the Moulinec–Suquet discretization for composite materials

0 references

Superconvergence of the effective Cauchy stress in computational homogenization of inelastic materials

0 references

Computational homogenization of elasticity on a staggered grid

0 references

FFT‐based homogenization for microstructures discretized by linear hexahedral elements

0 references

On polarization-based schemes for the FFT-based computational homogenization of inelastic materials

0 references

Simulation of the multi-scale convergence in computational homogenization approaches

0 references

Fourier transform approach to nonperiodic boundary value problems in porous conductive media

0 references

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

0 references

An accelerated FFT algorithm for thermoelastic and non-linear composites

0 references

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

0 references

An FFT-based Galerkin method for homogenization of periodic media

0 references

Preconditioning

0 references

On quasi-Newton methods in fast Fourier transform-based micromechanics

0 references

Anderson-accelerated polarization schemes for fast Fourier transform-based computational homogenization

0 references

Fourier-based schemes with modified Green operator for computing the electrical response of heterogeneous media with accurate local fields

0 references

Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics

0 references

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

0 references

A finite element perspective on nonlinear FFT-based micromechanical simulations

0 references

Identifiers

DOI

10.1007/s00466-024-02469-1

0 references

Mathematics Subject Classification ID

74-XX

0 references

zbMATH DE Number

7966088

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6661931