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This work presents a micromechanical constitutive model of intrinsically self- healing unidirectional Carbon Fibre Reinforced Polymer (CFRP) composite material. Intrinsic self-healing is a feature of the matrix constituent and it is modelled using the previously developed elastic-plastic damage- healing constitutive model for the pure matrix material [1]. On the other hand, the reinforcing fibres are modelled as transversely isotropic linear elastic material. Thus, there is neither damage nor healing in the reinforcing fibres. Moreover, the homogenised composite material is modelled using a three- dimensional micromechanical model, based on the Rule of Mixtures (ROM), i.e. relations defined in [2]. Using the principles of the ROM, components of the homogenised composite orthotropic elasticity tensor are defined. Using the ROM Voigt (iso-strain) and Reuss (iso-stress) approximations, fibre and matrix strain tensors are defined. Furthermore, Voigt and Reuss approximations are used with the principle of additive decomposition of strain to define the homogenised composite elastic and plastic strain tensors. Finally, the developed constitutive model is validated using experimental results of three-point bending tests taken from [3]. References: [1] Smojver et al. A constitutive model for a self-healing composite matrix polymer material: [Manuscript submitted for publication] ; 2020. [2] Goldberg RK. Strain Rate Dependent Deformation and Strength Modeling of a Polymer Matrix Composite Utilizing a Micromechanics Approach [PhD thesis]. Cleveland, Ohio: NASA Glenn Research Center Cleveland ; 1999. [3] Park JS, Darlington T, Starr AF, Takahashi K, Riendeau J, Thomas Hahn H. Multiple healing effect of thermally activated self-healing composites based on Diels–Alder reaction. Composites Science and Technology. 2010 ; 70:2154–9. doi:10.1016/j.compscitech.2010.08.017. |
