Elasticity in Aerospace Engineering
Learning Objective:The objective of this course is to give the student an in-depth background in mechanics of solids including tensor analysis, large deformations, fundamentals of stress and strain, constitutive relations, and the ability to perform stress analyses in elastic bodies.
AAE 553 is a fundamental course in the theory of elasticity with emphasis on understanding the governing principles and solution techniques used in the stress analysis of elastic solids and structures. Cartesian tensors are introduced for formulations of general deformations and states of stress. Constitutive relations and field equations are derived for large deformation and then reduced to small deformation. Simple problems with practical applications are solved. Energy methods and approximate solutions using variational principles are included.
- Mathematical preliminaries (2 weeks)
- Deformation and strain (3 weeks)
- Stress (2 weeks)
- Constitutive relations (1 week)
- Linear elasticity problems (2 weeks)
- Plane elasticity (3 weeks)
- Variational methods (2 weeks)