| Despite the importance of metal forming process in the manufacturing of industrial metal parts, some of the widely used analytical models demonstrate discrepancies between predictions and actual results. The purpose of this thesis is to eliminate some of these discrepancies.;The incremental constitutive model utilizing Principal Axis Technique is used to formulate finite deformation of a simple forming process, Beam Bending. The Airy's stress function is used to derive the admissible displacement field for the deformation. The kinematics of the finite deformation is subsequently completed. Symbolic programming language MAPLE is utilized to solve the complicated model. The resulting equations show favourable correlation as compared to standard approach in advanced theory of elasticity.;The technique can be extended to the regime of elastic-plastic analysis. Also, the modified constitutive law can be used to compensate the large deformation effect which will enable more accurate prediction to more complex modelling in which the current finite element approximation may produce inaccurate results. The key advantage of the new methodology is the underlying mechanics of the treatment for large strain and large rotation problem.;The formulation serves as a good fundamental model for metal forming. In order to represent the physical phenomena realistically, additional modelling, such as a sophisticated formulation of contact and friction condition, is required. Finite element formulation can also be formulated by implementing this technique so that a broader kind of problem type can be analyzed. |
