A Computational Method Based on Augmented Lagrangians and Fast Fourier Transforms for Composites with High Contrast
Reads0
Chats0
About:
This article is published in Cmes-computer Modeling in Engineering & Sciences.The article was published on 2000-06-01 and is currently open access. It has received 206 citations till now. The article focuses on the topics: Fast Fourier transform.read more
Citations
More filters
Journal ArticleDOI
Multiscale Methods for Composites: A Review
TL;DR: In this article, a review of multiscale methods for modeling mechanical and thermomechanical responses of composites is presented, both at the material level and at the structural analysis level.
Journal ArticleDOI
An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials
TL;DR: In this paper, the authors presented an infinitesimal-strain version of a formulation based on fast Fourier transforms (FFT) for the prediction of micromechanical fields in polycrystals deforming in the elasto-viscoplastic (EVP) regime.
Journal ArticleDOI
Deep learning approaches for mining structure-property linkages in high contrast composites from simulation datasets
Zijiang Yang,Yuksel C. Yabansu,Reda Al-Bahrani,Wei-keng Liao,Alok Choudhary,Surya R. Kalidindi,Ankit Agrawal +6 more
TL;DR: This work designs and implements a deep learning approach to model an elastic homogenization structure-property linkage in a high contrast composite material system and demonstrates that this end-to-end framework can predict the effective stiffness of high contrast elastic composites with a wide of range of microstructures, while exhibiting high accuracy and low computational cost for new evaluations.
Journal ArticleDOI
Short note: Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients
TL;DR: Computational experiments confirm robustness of the algorithm with respect to its internal parameters and demonstrate significant increase of the convergence rate for problems with high-contrast coefficients at a low overhead per iteration.
Journal ArticleDOI
Fourier-based schemes for computing the mechanical response of composites with accurate local fields
TL;DR: In this article, the authors modify the Green operator involved in Fourier-based computational schemes in elasticity, in 2D and 3D, by expressing continuum mechanics in terms of centered differences on a rotated grid.
References
More filters
Journal ArticleDOI
A numerical method for computing the overall response of nonlinear composites with complex microstructure
Hervé Moulinec,Pierre Suquet +1 more
TL;DR: An alternate method based on Fourier series which avoids meshing and which makes direct use of microstructure images is proposed, based on the exact expression of the Green function of a linear elastic and homogeneous comparison material.
Journal ArticleDOI
Effective properties of composite materials with periodic microstructure : a computational approach
TL;DR: In this paper, two different families of numerical methods are considered to solve the problem of a homogeneous linear reference material undergoing a nonhomogeneous periodic eigenstrain, and the relative merits of the two methods are compared and several examples are discussed.
Journal ArticleDOI
Bounds for Effective Bulk Modulus of Heterogeneous Materials
TL;DR: In this article, the effective bulk modulus for statistically isotropic and homogeneous materials have been developed in terms of statistical information, i.e., one-point and three-point correlation function from variational principles.
Journal Article
On the effective mechanical behavior of weakly inhomogeneous nonlinear materials
P. Ponte Castañeda,Pierre Suquet +1 more
TL;DR: In this article, the first four terms in a perturbation series expansion for the effective potential of nonlinear composite materials with local constitutive behavior controlled by a convex potential w depending on a small parameter t are derived.
Related Papers (5)
A numerical method for computing the overall response of nonlinear composites with complex microstructure
Hervé Moulinec,Pierre Suquet +1 more