Effective response of heterogeneous materials using the recursive projection method

DOI10.1016/j.cma.2020.112946zbMath1442.74192arXiv2003.07720OpenAlexW3009875131MaRDI QIDQ2180465

Dhriti Nepal, Kaushik Dayal, Xiaoyao Peng

Publication date: 14 May 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.07720

zbMATH Keywords

homogenizationFourier methodrecursive projection method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Effective constitutive equations in solid mechanics (74Q15)

Related Items

Predicting peak stresses in microstructured materials using convolutional encoder–decoder learning, A review of nonlinear FFT-based computational homogenization methods

Uses Software

• FFTHomPy

Cites Work

• Unnamed Item
• Unnamed Item
• Efficient fixed point and Newton-Krylov solvers for FFT-based homogenization of elasticity at large deformations
• A completely iterative method for the infinite domain electrostatic problem with nonlinear dielectric media
• Inequalities for electric and elastic polarization tensors with applications to random composites
• A numerical method for computing the overall response of nonlinear composites with complex microstructure
• Effective properties of composite materials with periodic microstructure: A computational approach
• A simple and flexible model order reduction method for FFT-based homogenization problems using a sparse sampling technique
• An FFT-based fast gradient method for elastic and inelastic unit cell homogenization problems
• An FFT-based Galerkin method for homogenization of periodic media
• A polarization-based FFT iterative scheme for computing the effective properties of elastic composites with arbitrary contrast
• Comparison of three accelerated FFT-based schemes for computing the mechanical response of composite materials
• Understanding dislocation mechanics at the mesoscale using phase field dislocation dynamics
• Stabilization of Unstable Procedures: The Recursive Projection Method
• The elastic field outside an ellipsoidal inclusion
• The Theory of Composites