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Books on energy methods and the finite element method:
Reddy, J. N. Energy and Variational Methods in Applied Mechanics. 2nd ed. New York, NY: John Wiley & Sons, 2003. ISBN: 047117985X. (Required)
———. Energy and Variational Methods in Applied Mechanics. New York, NY: John Wiley & Sons, 1984. ISBN: 047189673X. (Alternative)
Bathe, K. J. Finite Element Procedures. Englewood Cliffs, NJ: Prentice Hall, 1996. ISBN: 0133173054.
Reddy, J. N. Introduction to the Finite Element Method. New York, NY: McGraw Hill, 1993. ISBN: 0070513554.
Rivello, Robert. Theory and Analysis of Flight Structures. New York, NY: McGraw Hill, 1969. ISBN: 007052985X.
Shames, Irving H., and Clive Dym. Energy and Finite Element Methods in Structural Mechanics. New York, NY: Hemisphere Publishing Corporation, 1985. ISBN: 0070563926.
Hughes, T. J. R. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. New York, NY: Dover, 2000. ISBN: 0486411818.
Textbooks on material selection, fracture and fatigue:
Ashby, M. F., and D. R. H. Jones. Engineering Materials: An Introduction to Their Properties and Applications. Vol. 1. Burlington, MA: Butterwort-Heinemann, 1996. ISBN: 0750630817.
Anderson, T. L. Fracture Mechanics: Fundamentals and Applications. Boca Raton, FL: CRC Press, 1995. ISBN: 0849342600.