The monograph formulates and solves selected issues of the theory of linear elasticity and rheology of thermosetting polymers and unidirectional monotropic fibre-reinforced thermoset matrix (UFRT) composites. The analytical modelling includes: the quasi-exact homogenization theory of UFRT composites; the inverse problem in the homogenization theory of UFRT composites; the elastic and rheological constitutive modelling of thermosetting polymers and UFRT composites (standard and inverse, uncoupled and coupled constitutive equations); experimental validation of a new rheological model for thermosets, based on the Mittag-Leffler fractional exponential generic function; and numerical validation of a new rheological model for UFRT composites, based on a single Mittag-Leffler fractional exponential generic function.
The monograph also presents testing, identification, validation and cognitive studies, including: experimental identification of the elastic and viscoelastic constants of representative resins; numerical identification of the elastic and viscoelastic constants of representative UFRT composites, based on the homogenization theory, the uncoupled rheological constitutive equations, and the elastic-viscoelastic correspondence principle; and simulations of selected rheological processes in the representative resin and representative UFRT composites.
