This course intends to provide students a comprehensive knowledge on the theory of elasticity and plasticity. The course focuses on the following topics: continuous medium, Cartesian tensors, deformation, displacement and strain tensors, compatibility conditions, external and internal forces, equilibrium, stress tensors, principal stresses, invariants and stress deviators, Mohr's circle, constitutive law, plasticity theory, yield and failure criteria, stability postulates, laws of mechanics, Navier's equations, plane stress and plane strain problems, variational principles, general theory of plane strain for perfectly plastic materials.

CILO-1: Mathematically express stresses, strains and stress-strain relationships, as well as the basic theory of elasticity, plasticity and failure criteria. CILO-2: Establish the mathematical relationships among stresses and strains within engineering components as well as the loads and displacements imposed at their boundaries. CILO-3: Apply the principles and methods of engineering mechanics to analyze the stresses and strains within engineering components. CILO-4: Develop problem formulations and solutions in elasticity and plasticity.