Numerical modelling of the fracture behaviour of brittle materials reinforced with unidirectional or randomly distributed fibres

The use of reinforcing fibres has shown to be an effective, simple and economic way to enhance the mechanical characteristics of brittle materials; in particular tensile strength, fracture and fatigue resistance, wear resistance and durability are usually noticeably higher in fibre-reinforced materials (FRC) with respect to unreinforced ones. For the above mentioned reasons composite materials today can replace or compliment other traditional structural materials.On the other hand the extensive use of brittle matrix composite materials requires appropriate computational models to describe, with adequate accuracy, their mechanical behaviour. In the present paper a mechanical-based computational model for the description of the macroscopic behaviour of such a class of materials, composed by a matrix phase and a fibre-reinforcing phase, is formulated. By considering a micromechanical-based model, the macro constitutive equations of unidirectional or randomly distributed fibres reinforced materials are obtained by taking into account the possibility of crack formation and propagation in the matrix as well as fibre debonding and breaking. The developed computational model is finally used in some numerical simulations in order to outline its reliability in the assessment of both the fibre–matrix interaction phenomenon as well as the fracture failure prediction capability in brittle matrix FRC materials.

► The paper generalises a model proposed by the Authors in previous researches.
► Brittle matrix FRC with randomly or preferentially oriented fibres is considered.
► Fibre distribution is given through a statistical description of their orientation.
► Matrix cracking is computationally modelled by considering a stress field reduction.