cratepy.clustering.solution.ffthombasicscheme

FFT-based homogenization basic scheme multi-scale method.

This module includes the implementation of the FFT-based homogenization basic scheme proposed by Moulinec and Suquet (1998) [1] for the solution of micro-scale equilibrium problems of linear elastic heterogeneous materials. The finite strain extension of this method is also implemented by following the formulation of Kabel and coworkers (2022) [2] and adopting the Hencky hyperelastic constitutive model. It also includes a class that handles a general incrementation of the macroscale strain loading and a dynamic subincrementation scheme.

[1]

Moulinec, H. and Suquet, P. (1998). A numerical method for computing the overall response of nonlinear composites with complex microstructure. Comp Methods Appl M, 157:69-94 (see here)

[2]

Kabel, M., Bohlke, T., and Schneider, M. (2014). Efficient fixed point and Newton-Krylov solver for FFT-based homogenization of elasticity at large deformations. Comp Methods Appl M, 54:1497-1514 (see here)

Classes

FFTBasicScheme

FFT-based homogenization basic scheme.

MacroscaleStrainIncrementer

Macroscale strain loading incrementer.

Classes

DNSHomogenizationMethod()	DNS homogenization-based multi-scale method interface.
FFTBasicScheme(strain_formulation, ...)	FFT-based homogenization basic scheme.
MacroscaleStrainIncrementer(...[, ...])	Macroscale strain loading incrementer.