Basics of Damage Tolerance : Strength vs. Damage Tolerance, Historic Introduction and Molecular Interpretation. Mathematical preliminaries : Vectors and Tensors, Complex Variables & Functions, Taylor's and Laurent's Series Expansions, Poles & Residues, Contour Integration Review of Ealsticity: Stress & Strain, Equilibrium, Elasticity, Plasticity and Yield Criteria, Strain Energy, Plane Stress and Plane Strain, Solution methods, Airy stress functions, Complex potentials. Stress Analysis of Cracked Bodies : Stress Concentration in Circular and Elliptic Holes, Stress Intensity Factor, Fracture Modes, Other Analytical, Numerical and Experimental methods. Energy Concepts : Strain Energy Release Rate, J Integral, Virtual Crack Closure, Equivalence of Energy and Stress approaches.