Fast FFT based solver for rate-dependent deformations of composites and nonwovens

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:154

Article

Staub, Sarah¹  Andrae, Heiko¹  Kabel, Matthias¹ 

[1] Fraunhofer ITWM, Fraunhofer Pl 1, D-67663 Kaiserslautern, Germany

关键词: Lippmann-Schwinger;    Fast Fourier transform;    Viscoelasticity;    Nonwovens;    Anisotropy;    Cyclic testing;    Relaxation tests;   

DOI  :  10.1016/j.ijsolstr.2016.12.014

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier Ltd. All rights reserved.

【 授权许可】

Free