Multi-scale modelling and analysis of strain rate dependent behaviour for long fibre reinforced thermoplastic based on X-ray computed tomography

This paper focuses on the multi-scale modelling method for strain rate dependent behaviour of long fibre reinforced thermoplastics based on the Mori–Tanaka scheme. In the present work, the anisotropic and nonlinear viscoelastic–viscoplastic behaviour of an injection moulded plate are experimentally characterised, and the sensitive range of strain rates is discussed. Fibre orientation tensors, content and fibre length are measured and analysed based on micro computed tomography images at different positions of the plate. Further, a multi-scale material model considering microstructure variables, constitutive models of two phases and failure criteria, is proposed. The accuracy of the model is validated by finite element simulations, including five strain rates and three loading directions. The comparison results indicate that the calculated stress–strain curves show a good consistency with the experimental data.