1. Review for Mid-Term 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
Use of relations among five isotropic elastic constants (Table 4.1)
General elasticity boundary-value problem formulation
Boundary condition specifications
Displacement formulation – Navier’s equations
Stress formulation – Beltrami-Michell compatibility + equilibrium equations
Strain energy – basic forms & concepts