Dec 04, 2024  
2023-2024 Graduate Academic Catalog-June Update 
    
2023-2024 Graduate Academic Catalog-June Update [ARCHIVED CATALOG]

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CAE 6514 - Theory of Elasticity

3 lecture hours 0 lab hours 3 credits
Course Description
This course expands on the fundamental concepts of solid mechanics. The course includes in-depth consideration of the equations that describe the states of stress, strain, and deformation within an elastic deformable body. Solutions realized fall into the realm of advanced and applied mathematics, and the applications of the solutions are relevant for many areas of engineering. (prereq: none)
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
  • Explain fundamental concepts of solid mechanics and their underlying theories
  • Formulate the fundamental equations of elastic behavior
  • Evaluate results from numerical solutions (e.g., finite element solutions)

Prerequisites by Topic
  • Thorough understanding of basic solid mechanics (mechanics of materials)
  • Understanding of differential equations, including partial differential equations

Course Topics
  • Introduction to elastic theory and review of fundamental concepts
  • Analysis of displacement and strain
  • Analysis of stress
  • Material behavior and constitutive laws
  • Three-dimensional elasticity problems
  • Numerical solutions to elasticity problems

Coordinator
Dr. Edward Sippel



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