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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Acknowledgements
The micro CT scans of the SMC material were performed by Pascal Pinter from the Institute of Applied Materials (KIT). The plates were manufactured by David Bücheler and Martin Hohberg at the Fraunhofer Institute of Chemical Technology in Pfinztal Germany. We would like to thank these partners for the great cooperation.
The research documented in this manuscript has been funded by the German Research Foundation (DFG) within the International Research Training Group Integrated engineering of continuous-discontinuous long fiber reinforced polymer structures (GRK 2078). The support by the German Research Foundation (DFG) is gratefully acknowledged.
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Schemmann, M., Gajek, S., Böhlke, T. (2018). Biaxial Tensile Tests and Microstructure-Based Inverse Parameter Identification of Inhomogeneous SMC Composites. In: Altenbach, H., Jablonski, F., Müller, W., Naumenko, K., Schneider, P. (eds) Advances in Mechanics of Materials and Structural Analysis. Advanced Structured Materials, vol 80. Springer, Cham. https://doi.org/10.1007/978-3-319-70563-7_15
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