Transcript Review for Mid-Term Exam

Review for Mid-Term Exam
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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