Effective mechanical properties of fiber-reinforced composites strongly depend on the microstructure, including the fibers' orientation. Studying this dependency, we identify the variety of fiber orientation tensors up to fourth-order using irreducible tensors and material symmetry. The case of planar fiber orientation tensors, relevant for sheet molding compound, is presented completely. Consequences for the reconstruction of fiber distributions and mean field homogenization are presented.
Julian Karl Bauer
Faserorientierungstensor Mikrostruktur Homogenisierung Anisotropie Elastizität Fiber orientation tensor Fiber-reinforced composites Mean field homogenization Anisotropy Elasticity