Analysis of fracture and delamination in laminates using 3D numerical modelling

Numerical homogenization of cracking processes in thin fibre-epoxy layers

“…More details about the above interface damage model and its numerical discretization can be found in [19].…”

“…The damage model used has been explained in detail in [18,19], in which it has been applied to study the mesoscale laminate failure mechanisms reported in [20,21]. The damage model is phenomenological, and has a bi-linear traction-M A N U S C R I P T…”

“…The actual form of the damage loading functionF (λ, κ) is connected to the shape of the softening curve in the traction-separation relation, see [19] for more details. As illustrated in Figure 1, the damage process is characterised by a linear softening curve, which is in correspondence with the following damage loading function:…”

“…For completeness, only the main equations of the interface damage model in [18,19] are summarised below. In the presentation of the model equations, adaptations are made to apply the three-dimensional model in [19] to the two-dimensional configurations studied in this paper. The constitutive equation relating the tractions to the relative displacements across an interface is given by…”

“…The functions v 0 =v 0 (β) and v f =v f (β) can be computed adopting an energy-based, mixed-mode failure criterion from linear elastic fracture mechanics, see [19,22]. For this purpose, a fracture criterion is taken that is often used to characterize mixed-mode toughness data for brittle interfacial fracture [23,24]:…”