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2018 | OriginalPaper | Chapter

Biaxial Tensile Tests and Microstructure-Based Inverse Parameter Identification of Inhomogeneous SMC Composites

Authors : Malte Schemmann, Sebastian Gajek, Thomas Böhlke

Published in: Advances in Mechanics of Materials and Structural Analysis

Publisher: Springer International Publishing

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Abstract

Discontinuous fiber reinforced composites offer great advantages for high-volume lightweight components. The characterization of their process-dependent, macro-heterogeneous, anisotropic mechanical behavior presents, however, a challenge to composite material science. Biaxial tensile tests allow for the loading of various stress states on the specimen. The inhomogeneous stress and strain fields require an inverse parameter identification. Previous biaxial tensile tests in the elastic range showed fluctuations in the elastic properties within one specimen. Micro CT scans suggested that some of these fluctuations derive from an inhomogeneous fiber orientation distribution. The identification of a generally inhomogeneous stiffness leads, however, to an ill-posed problem which does not allow for a unique solution. We introduce the assumption of linearity between the stiffness tensor and the fiber orientation distribution. This simplification reduces the problem size to five degrees of freedom per specimen which do not depend on fiber orientation distribution. Four of these parameters are identifiable and are determined in a Gauss-Newton type optimization procedure.

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Literature
2.
go back to reference Böhlke, T., Jöchen, K., Piat, R., Langhoff, T.A., Tsukrov, I.: Elastic properties of pyrolytic carbon with axisymmetric textures. Tech. Mech. 30(4), 343–353 (2010) Böhlke, T., Jöchen, K., Piat, R., Langhoff, T.A., Tsukrov, I.: Elastic properties of pyrolytic carbon with axisymmetric textures. Tech. Mech. 30(4), 343–353 (2010)
13.
go back to reference Mahnken, R., Stein, E.: Parameter identification for viscoplastic models based on analytical derivatives of a least-squares functional and stability investigations. Int. J. Plast. 12(4), 451–479 (1996b)CrossRefMATH Mahnken, R., Stein, E.: Parameter identification for viscoplastic models based on analytical derivatives of a least-squares functional and stability investigations. Int. J. Plast. 12(4), 451–479 (1996b)CrossRefMATH
14.
go back to reference Mori, T., Tanaka, K.: Averate stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall. 21, 571–574 (1973)CrossRef Mori, T., Tanaka, K.: Averate stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall. 21, 571–574 (1973)CrossRef
18.
go back to reference Pan, W., Boyle J., Ramlan, M., Dun, C., Ismail, M., Hakoda, K.: Material plastic properties characterization using a generic algorithm and finite element method modelling of the plane-strain small punch test. STP Conference, Ostrava, Czech Republic (2010) Pan, W., Boyle J., Ramlan, M., Dun, C., Ismail, M., Hakoda, K.: Material plastic properties characterization using a generic algorithm and finite element method modelling of the plane-strain small punch test. STP Conference, Ostrava, Czech Republic (2010)
20.
go back to reference Rychlewski, J.: A qualitative approach to Hooke’s tensors. Part I. Arch. Mech. 52(4–5), 737–759 (2000)MathSciNetMATH Rychlewski, J.: A qualitative approach to Hooke’s tensors. Part I. Arch. Mech. 52(4–5), 737–759 (2000)MathSciNetMATH
22.
go back to reference Schemmann, M., Brylka, B., Müller, V., Kehrer, M.L., Böhlke, T.: Mean field homogenization of discontinous fiber reinforced polymers and parameter identification of biaxial tensile tests through inverse modeling. In: Proceedings of 20th International Conference on Composite Materials, vol. 20 (2015b) Schemmann, M., Brylka, B., Müller, V., Kehrer, M.L., Böhlke, T.: Mean field homogenization of discontinous fiber reinforced polymers and parameter identification of biaxial tensile tests through inverse modeling. In: Proceedings of 20th International Conference on Composite Materials, vol. 20 (2015b)
23.
go back to reference Schnur, D., Zabaras, N.: An inverse method for determining elastic material properties and a material interface. 33, 2039–2057 (1992) Schnur, D., Zabaras, N.: An inverse method for determining elastic material properties and a material interface. 33, 2039–2057 (1992)
Metadata
Title
Biaxial Tensile Tests and Microstructure-Based Inverse Parameter Identification of Inhomogeneous SMC Composites
Authors
Malte Schemmann
Sebastian Gajek
Thomas Böhlke
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-70563-7_15

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