Stochastic modeling techniques for textile yarn distortion and waviness with 1D random fields. (December 2019)

• Record Type: Journal Article
• Authors: Balokas, Georgios; Kriegesmann, Benedikt; Czichon, Steffen; Rolfes, Raimund
• Is Part Of: Composites. Volume 127(2019)
• Publication Date: 2019-12
• Subjects: Braided composites -- Yarn distortion -- Yarn waviness -- Stochastic modeling -- Random fields -- Kriging; Composite materials -- Periodicals; Manufacturing processes -- Periodicals; Composite materials; Manufacturing processes; Periodicals; 620.11805
• DOI: 10.1016/j.compositesa.2019.105639
• Languages: English
• ISSNs: 1359-835X

Abstract

Abstract: Within the concept of simulation approaches for manufacturing-induced imperfections of composite structures, this work proposes modeling frameworks for the consideration of stochastic deviations concerning the yarns of textile composite materials. The random distortion of a yarn's cross-section, is addressed by flexible 1D Fourier-based random fields, with the potential to be calibated from measurements of the deviations from the nominal yarn shape and their statistical characteristics. Furthermore, a Kriging-based modeling approach is presented, able to randomize any nominal yarn path in short or long range problems, considering data for the correlation and variance in a straightforward manner. The effects of defects due to stochastic yarn distortion and waviness, are investigated by simulating a forward uncertainty propagation problem of a triaxially braided composite material. The response variability concerning stiffness and strength for different uncertainty levels is highlighted, while several comments are offered regarding numerical issues and potential surrogate modeling techniques.