The purpose of this module is to advance the knowledge of the learner from the traditional mechanics of materials approach as taught in the earlier years, to a knowledge of more advanced topics in this area and to some familiarity with the theory of elasticity. The aim of this module is to add to the students existing knowledge in order to develop analytical ability and to facilitate the solution of advanced problems in areas not previously studied.
Theory of Elasticity: General equations of equilibrium and compatibility in three dimensions. The bi-harmonic equation and Airy stress functions and application of stress functions.
Thin Plates: Bending of plates with axial symmetry.
Thick and Compound Cylinders: Under internal pressure/external pressure.
Rings and Discs: Discs and cylinders in rotation and with thermal gradient.
Advanced Torsion: Rectangular and open sections. Thin walled hollow sections (Bredt-Batho theory), Two cell and multi-cell sections.
Fracture Mechanics: Historical developments and case studies in fracture mechanics. Energy release rate and stress intensity approaches to linear elastic fracture mechanics LEFM, effects of plasticity.
