The texts from Timoshenko and Landau and Lifschitz are classics. I think learning the physical approach of L&L is particularly valuable. The following sections are available in L&L:

 1. Fundamental Equations

 2. Equilibrium of Rods and Plates

3. Elastic Waves

4. Thermal Conduction and Viscosity in Solids

Look for insightful physical explanations, and expect to read with a pen and paper at your side, to understand exactly the brilliance behind each statement made.