# Elasticity in Aerospace Engineering

## AAE55300

3

August 2, 2019

### Learning Objective:

To give the student an in-depth background in mechanics of solids including large deformation, and the ability to perform stress analyses in elastic bodies, especially two-dimensional bodies.

### Description:

A basic course in the theory of elasticity, with emphasis on understanding the fundamental 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. Two dimensional problems are solved by using the Airy's stress function method and complex functions approaches. Energy methods and approximate solutions using variational principles are included.
F2018 Course AAE553 Syllabus

### Topics Covered:

-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). -Introduction to FEM (1 week).

### Prerequisites:

Graduate standing or permission of instructor. Knowledge of linear algebra and differential equations. Elementary courses in mechanics of materials (e.g. AAE 204 and AAE 352), linear algebra, and differential equations.

30 / 70

Blackboard

### Homework:

6 assignments per semester.

None.

### Exams:

Two midterms, one final

### Textbooks:

Official textbook information is now listed in the Schedule of Classes. NOTE: Textbook information is subject to be changed at any time at the discretion of the faculty member. If you have questions or concerns please contact the academic department.
Elasticity: Theory, Applications, and Numerics (3rd Edition), Martin H. Sadd.

### Computer Requirements:

Elementary proficiency with computer-based mathematical tools is needed for some assignments.

### Other Requirements:

Matlab, Mathematica, or Maple.

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