I. An introduction to mathematical methods for continuum mechanics
Chapter I: Vector and tensor analysis and integral theorems PDF
Chapter II: Bodies, deformations and strains PDF
Chapter III: Forces, stress and equilibrium equations PDF
Chapter IV: The constitutive equations of the elasticity PDF
Chapter V: The Rivlin-Ericksen theorem and the linearized elasticity model PDF
Appendix: Sobolev spaces and the trace theorem. PDF
Chapter VI: The mathematical study of the linearized elasticity. PDF
Chapter VII: The elastodynamic case. PDF
Chapter VIII: The Newtonian fluids. The Navier-Stokes model. PDF
Chapter IX: Mathematical study of some problems related to the Navier-Stokes model. PDF
You can also find here
the full pdf file of the lectures.