Review for Final Exam Basic knowledge of vector & index notation, matrix-tensor theory, coordinate transformation, principal value problems, vector calculus Use of strain-displacement & rotation-displacement relations; determine strains/rotations given the displacements, integrate strains to find displacements Use of strain compatibility equations Traction vector & stress tensor definitions and relations Use of equilibrium equations Use of general and isotropic forms of Hooke’s law; both stress in terms of strain, and strain in terms of stress General elasticity boundary-value problem formulation Boundary & interface condition specification (pointwise and integrated forms) Displacement formulation – Navier’s equations Stress formulation – Beltrami-Michell compatibility + equilibrium equations Strain energy – basic forms Plane strain, plane stress and antiplane strain formulation Two-dimensional problem solution in Cartesian and polar coordinates using Airy stress function and displacement formulation Torsion formulation and problem solution using stress function and displacement formulation