Modeling multiaxial stress states in forming simulation of woven fabrics

Modeling multiaxial stress states in forming simulation of woven fabrics

KÄRGER Luise, SCHÄFER Florian, WERNER Henrik O.

download PDF

Abstract. During the forming of woven fabrics, different multiaxial stress states can occur, depending on the given process conditions and the complex deformation mechanisms of the interwoven structure of the textile. Particularly under constrained forming conditions, induced e.g. by blank holders or by adjacent metal layers in fiber-metal-laminate (FML) forming, the multiaxial stress states may include in-plane compression. A hyperelastic, invariant-based constitutive model has been proposed in previous work to consider such biaxial and normal-shear coupling for both positive and also negative strains. In the present work, this constitutive model is applied to forming simulation at component scale to investigate the significance of individual coupling aspects for the prediction of the forming behavior under different multiaxial stress states. For that purpose, FMLs and pure fabric laminates are formed to a tetrahedron geometry. In a comparative simulation study, the individual strain couplings of the invariant-based material model are differently activated or suppressed. The simulation results reveal that biaxial coupling has a significant effect on the draping behavior, if the draping is partially constrained. In contrast, the coupling effects are much smaller for free draping conditions.

Hyperelastic, Invariant-Based, Constitutive Modeling, Multiaxial Coupling

Published online 4/19/2023, 10 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: KÄRGER Luise, SCHÄFER Florian, WERNER Henrik O., Modeling multiaxial stress states in forming simulation of woven fabrics, Materials Research Proceedings, Vol. 28, pp 357-366, 2023


The article was published as article 39 of the book Material Forming

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

[1] P. Bussetta, N. Correia, Numerical forming of continuous fibre reinforced composite material: A review. Composites Part A: Appl. Sci. Manuf. 113 (2018) 12-31.
[2] P. Boisse, R. Akkerman, P. Carlone, L. Kärger, S.V. Lomov, J.A. Sherwood, Advances in composite forming through 25 years of ESAFORM, Int. J. Mater. Form. 15 (2022) 39.
[3] L. Kärger, S. Galkin, D. Dörr, C. Poppe, Capabilities of Macroscopic Forming Simulation for Large-Scale Forming Processes of Dry and Impregnated Textiles. Procedia Manuf. 47 (2020) 140-147.
[4] S. Chen, L.T. Harper, A. Endruweit, N.A. Warrior, Formability optimisation of fabric preforms by controlling material draw-in through in-plane constraints. Composites Part A 76 (2015) 10-19.
[5] L. Kärger, S. Galkin, C. Zimmerling, D. Dörr, J. Linden, A. Oeckerath, K. Wolf: Forming optimisation embedded in a CAE chain to assess the structural performance of composite components. Compo. Struct. 192 (2018) 143-152.
[6] P. Xue, X. Peng, J. Cao, A non-orthogonal constitutive model for characterizing woven composites, Composites Part A: Appl. Sci. Manuf. 34 (2003) 183-193.
[7] W. Lee, J. Cao, P. Badel, P. Boisse, Non-orthogonal constitutive model for woven composites incorporating tensile effect on shear behavior, Int. J. Mater. Form. 1 (2008) 891-894.
[8] P. Badel, E. Vidal-Sallé, P. Boisse, Large deformation analysis of fibrous materials using rate constitutive equations. Comput. Struct. 86 (2008) 1164-1175.
[9] M.A. Khan, T. Mabrouki, E. Vidal-Sallé, P. Boisse, Numerical and experimental analyses of woven composite reinforcement forming using a hypoelastic behaviour. Application to the double dome benchmark. J. Mater. Process. Technol. 210 (2010) 378-388.
[10] F.J. Schirmaier, D. Dörr, F. Henning, L. Kärger, A macroscopic approach to simulate the forming behaviour of stitched unidirectional non-crimp fabrics. Compos. A 102 (2017) 322-335.
[11] B. Chen, J. Colmars, N. Naouar, P. Boisse, A hypoelastic stress resultant shell approach for simulations of textile composite reinforcement forming. Composites Part A: Appl. Sci. Manuf. 149 (2021) 106558.
[12] A. Charmetant, J.G. Orliac, E. Vidal-Sallé, P. Boisse, Hyperelastic model for large deformation analyses of 3D interlock composite preforms. Compos. Sci. Technol. 72 (2012) 1352-1360.
[13] D. Dörr, F. Henning, L. Kärger, Nonlinear hyperviscoelastic modelling of intra-ply deformation behaviour in finite element forming simulation of continuously fibre-reinforced thermoplastics, Compos. A 109 (2018) 585-596.
[14] V. N. Khiêm, H. Krieger, M. Itskov, T. Gries, S. E. Stapleton, An averaging based hyperelastic modeling and experimental analysis of non-crimp fabrics. Int J of Solids and Structures 154 (2018) 43-54.
[15] Y. Aimène, E. Vidal-Salle, B. Hagège, F. Sidoroff, P. Boisse, A Hyperelastic Approach for Composite Reinforcement Large Deformation Analysis, Journal of Composite Materials 44 (1) (2010) 5-26.
[16] X. Peng, Z. Guo, T. Du, W.-R. Yu, A simple anisotropic hyperelastic constitutive model for textile fabrics with application to forming simulation, Composites Part B: Engineering 52 (2013) 275-281.
[17] C. Poppe, D. Dörr, F. Henning, L. Kärger: Experimental and numerical investigation of the shear behaviour of infiltrated woven fabrics, Composites Part A 114 (2018) 327-337.
[18] Y. Yao, X. Huang, X. Peng, P. Liu, G. Youkun, An anisotropic hyperelastic constitutive model for plain weave fabric considering biaxial tension coupling, Text. Res. J. 89 (2019) 434-444.
[19] Y. Yao, X. Peng, Y. Gong, Influence of tension-shear coupling on draping of plain weave fabrics, J. Mat. Sci. 54 (8) (2019) 6310-6322.
[20] H.O. Werner, F. Schäfer, F. Henning, L. Kärger, Material Modelling of Fabric Deformation in Forming Simulation of Fiber-Metal Laminates – A Review on Modelling Fabric Coupling Mechanisms, ESAFORM (2021) 2056, Liège, Belgique.
[21] F. Schäfer, H.O. Werner, F. Henning, L. Kärger, A Hyperelastic Material Model considering Biaxial Coupling of Tension-Compression and Shear for the Forming Simulation of Woven Fabrics, Compos. A: in press (2022) 107323.
[22] H.O. Werner, D. Dörr, F. Henning, L. Kärger, Numerical modeling of a hybrid forming process for three-dimensionally curved fiber-metal laminates, AIP Conference Proceedings 2113 (2019) 020019.
[23] H.O. Werner, C. Poppe, F. Henning, L. Kärger, Material Modeling in Forming Simulation of Three-Dimensional Fiber-Metal-Laminates – A Parametric Study, Procedia Manuf. 47 (2020) 154-161.
[24] A. Cherouat, H. Bourouchaki, Numerical Tools for Composite Woven Fabric Preforming, Adv. Mat. Sci. Eng. 2013 (2013) 709495.
[25] M. Komeili, Multi-Scale Characterization and Modeling of Shear-Tension Interaction in Woven Fabrics for Composite Forming and Structural Applications, Dissertation, The University of British Columbia, Okanagan, 2014.