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Elasticity in Aerospace Engineering

AAE55300

Credit Hours:

3

Start Date:

August 24, 2020

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.

Description:

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.

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)

Prerequisites:

Elementary courses in mechanics of materials (AAE 204 and AAE 352 or equivalent), linear algebra, multivariable calculus, and differential equations. Elementary proficiency with a mathematical computer tool such as Matlab, Mathematica, or Maple is also needed for some homework assignments.

Applied / Theory:

30 / 70

Web Address:

Brightspace

Homework:

12 assignments per semester.

Projects:

None.

Exams:

One final

Textbooks:

No textbook, lecture notes will be provided by the instructor.

Computer Requirements:

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

Other Requirements:

Matlab, Mathematica, or Maple.

ProEd Minimum Requirements:

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Tuition & Fees:

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