Some books I found useful (some are classic textbooks in the mentioned field):
1)Elasticity
- Theory of Elasticity - by S. Timoshenko, J.N. Goodier
- Mathematical Theory of Elasticity - by I. S. Sokolnikoff
2)Plasticity
- The Mathematical Theory of Plasticity - by R. Hill
- Fundamentals of the Theory of Plasticity - by L. M. Kachanov
4)Thermal Stresses
- Theory of Thermal Stresses - by Bruno A. Boley, Jerome H. Weiner
3)Continuum mechanics
- Introduction to the Mechanics of a Continuous Medium - by Lawrence E. Malvern
- The Non-Linear Field Theories of Mechanics - by Clifford Truesdell, Walter Noll
4)Constitutive behaviors (in general)
- Mechanics of Solid Materials - by Jean Lemaitre, Jean-Louis Chaboche
5)Fatigue
- Fatigue of Materials - by S. Suresh
6)Fracture mechanics
- Fracture Mechanics: Fundamentals and Applications - by Ted L. Anderson
- Elementary Engineering Fracture Mechanics - by David Broek
7)Solid mechanics (in general)
- Classical and Computational Solid Mechanics - by Y. C. Fung, Pin Tong
- Elastoplasticity Theory - by Vlado A. Lubarda
8)Finite element method
- The Finite Element Method: Linear Static and Dynamic Finite Element Analysis - by Thomas J. R. Hughes
- Finite Element Procedures - by Klaus-Jurgen Bathe
- Nonlinear Finite Elements for Continua and Structures - by Ted Belytschko, Wing Kam Liu, Brian Moran
- The Finite Element Method (3 volumes) - by O. C. Zienkiewicz, R. L. Taylor
- Computational Inelasticity - by J. C. Simo, Thomas J. Hughes