The use of advanced material modelling has proven to be a major device for additive manufacturing (AM) processes and more importantly with thermoplastics. Thanks to these models, we can predict with precision the mechanical properties of materials, the stress reaction and the most optimal manufacturing process of the material. More generally, the use of an advanced material model provides for material manufacturer or designer, the assurance of meeting the required specification and performance with AM. One of the most recognisable characteristics of these polymers is appearance of residual stress during a cool down provoking a liquid to solid phase change bringing crystalline shrinkage and thermal contraction. The main advantage of process modelling is to show to designers how some changes in the process affect the manufacturing and the properties of the final product.  One of the main concerns is about the current development of the technologies of additive manufacturing more specifically in the Aeronautics and space industry field: While models exist that assume elastic behaviour during cure, they are not correct throughout the entire process. Models based on viscoelastic material during cure offers better prospects in this respect. However, currently models that are based on full viscoelasticity are either not well defined or are computationally demanding. This thesis places a greater focus on temperature applied during the various stages of the AM process, the way of cooling the material and how the different layers are applied on the material. For this thesis, I will focus on the VisCor model, which is based on fundamental assumptions such as linear viscoelasticity. The setting is mainly oriented to one dimensional material with a geometrically linear behaviour for the observation of free thermal expansion and crystalline shrinkage strains. A model has been used to study the behaviour of a thermoplastic during a curing procedure to analyse the effect of several parameters including the rubbery modulus, a weighing factor for the transient integral term, and a function that affects the material's "memory". I managed to get a 1D viscoelastic model   using the formula describing the viscoelastic behaviour and its majors parameters then I modified the initial parameters in order to observe the evolution of behaviour with different initial conditions. With the different model I get, I managed to determine that there is a connection between the evolution of the applied strain and the stress answer of the material for a VisCor model. The model realised will be useful for modelling and predicting of the material behaviour for several manufacturing process, not just curing but any process requiring change of temperature nor applied strain during the manufacturing process.