This report reviews firstly some of the recent work on modeling mat consolidation. For the first time, the concept of elasto-plastic behaviour of composite mats under pressing is introduced. The implications of the mat elasto-plasticity on formation of vertical density profile is analyzed. Finally, theoretical models, which capture such mat deformation behaviour and mat heat and moisture transfer are developed. Both two-dimensional (2-D) and three-dimensional (3-D) models are capable of accurately predicting variations in mat temperature, gas pressure, moisture content and vertical density profile during hot pressing. Typical predictive results from the 2-D and 3-D models are presented and compared. Based on these comparisons, because of the complexity of the 3-D model, it is recommended that the 2-D model is sufficiently accurate enough to be used for simulating commercial OSB pressing.