Fast FFT based solver for rate-dependent deformations of composites and nonwovens. (1st December 2018)

• Record Type: Journal Article
• Authors: Staub, Sarah; Andrä, Heiko; Kabel, Matthias
• Is Part Of: International journal of solids and structures. Volume 154(2018)
• Page Start: 33
• Page End: 42
• Publication Date: 2018-12-01
• Subjects: Lippmann-Schwinger -- Fast Fourier transform -- Viscoelasticity -- Nonwovens -- Anisotropy -- Cyclic testing -- Relaxation tests; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2016.12.014
• Languages: English
• ISSNs: 0020-7683

Abstract

Highlights: Generation of realistic microstructures in RVEs for resin-bonded nonwovens. Fast FFT-based nonlinear elasticity solver for compression of porous fibrous materials. New collocation method for the effective anisotropic relaxation of composites. Highly efficient simulation of the viscoelastic behavior of nonwovens under long-term static or cyclic loadings. Graphical abstract: Abstract: This paper presents the application of a fast FFT based solver of the Lippmann-Schwinger equations in elasticity to compute the effective viscoelastic material behavior of composites and nonwovens. The fundamentals of the solver are outlined. A new method for the estimation of the effective anisotropic relaxation behavior based on higher order normalization schemes is introduced. The FFT solver is applied to compute the elastic response at the required collocation points. Furthermore, full simulations of the relaxation behavior of composites and nonwovens are performed for the validation and error analysis. In a second step, the simulation of cyclic DMTA experiments, which allow the characterization of the effective moduli, of nonwovens is addressed. Due to its good performance the fast FFT solver allows the required cyclic simulation of large porous structures resolved by several hundred load steps. The influence of frequency and prestrains are analyzed.