FFT-based computational micromechanics with Dirichlet boundary conditions on the rotated staggered grid (Q6648569)

scientific article; zbMATH DE number 7954105

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English	FFT-based computational micromechanics with Dirichlet boundary conditions on the rotated staggered grid	scientific article; zbMATH DE number 7954105

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instance of

scholarly article

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title

FFT-based computational micromechanics with Dirichlet boundary conditions on the rotated staggered grid (English)

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International Journal for Numerical Methods in Engineering

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publication date

4 December 2024

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zbMATH Keywords

Dirichlet boundary conditions

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discrete cosine transform

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discrete sine transform

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FFT-based computational micromechanics

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rotated staggered grid

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

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Bounds for effective elastic moduli of disordered materials

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Q3798341

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Simulation of the multi-scale convergence in computational homogenization approaches

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Q4455007

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

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FFT-based homogenization of hypoelastic plasticity at finite strains

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Asymptotic homogenization of periodic thermo-magneto-electro-elastic heterogeneous media

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A FFT-based method to compute the permeability induced by a Stokes slip flow through a porous medium

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An FFT-based approach for Bloch wave analysis: application to polycrystals

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

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

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

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

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

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

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

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

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

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

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

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

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An FFT-based Galerkin method for homogenization of periodic media

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Computational homogenization of elasticity on a staggered grid

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

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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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Guaranteed upper-lower bounds on homogenized properties by FFT-based Galerkin method

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

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An optimal preconditioned FFT-accelerated finite element solver for homogenization

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

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Convergence of FFT‐based homogenization for strongly heterogeneous media

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

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Modeling the propagation of elastic waves using a modified finite difference grid.

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Superaccurate effective elastic moduli via postprocessing in computational homogenization

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

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FFT based iterative schemes for composite conductors with uniform boundary conditions

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Imposing different boundary conditions for thermal computational homogenization problems with FFT- and tensor-train-based Green's operator methods

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

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FFT-based homogenization with mixed uniform boundary conditions

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Multiscale coupling of FFT-based simulations with the LDC approach

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Preconditioning

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Voxel‐based finite elements with hourglass control in fast Fourier transform‐based computational homogenization

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<i>P</i><sub>1</sub>-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems

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Introductory lectures on convex optimization. A basic course.

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Assumed strain methods in micromechanics, laminate composite voxels and level sets

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Elastic properties of reinforced solids: Some theoretical principles

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A uniform strain hexahedron and quadrilateral with orthogonal hourglass control

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Hourglass control in linear and nonlinear problems

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Random Laguerre tessellations

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Mixed boundary conditions for FFT-based homogenization at finite strains

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Identifiers

DOI

10.1002/nme.7569

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6648569