The ballistic modelling of impacts onto Dyneema laminates, whether as a solid monolithic part, or as part of protective system requires a full set of fundamental material properties, such as the tensile, compressive and shear stress-strain behaviour of the laminate. However, such tests have long been a difficult task, due to the inherent weak interfaces between the fibres and plies. The most difficult of all tests is usually the tensile test of Dyneema laminates. This paper present the modelling work performed using the constitutive model developed over the past several years. The model was initially presented at the first MACH conference, focusing on the scissoring behaviour and the decoupling of the in-plane and out-of-plane behaviour, based on an understanding of a comprehensive series of ballistic tests. In the current modelling work a range of tensile specimens are modelled, as well as compressive tests, both in-plane and out-of-plane with respect to the laminate, to understanding what is actually been measured and how the load is transmitted between the plies. Conclusions are presented on the relationship to actual ballistic tests.