APPLIED ELASTICITY

University of South Florida, Tampa

Fall 2005

Background: In Fall 2000, I asked students in my class in Applied Elasticity to write a 400-word essay on what they learned in the elasticity class as if they were writing it to a fellow graduate student who is about to take the class. The essay needed to be in newspaper style of writing.  See what they had to say!

 

What will you learn in this course? You will apply the fundamentals of elasticity to engineering problems.  Comparison with solutions obtained by using elementary strength of materials in solving engineering problems is emphasized. Practical problems are solved and advantages of using particular methods are illustrated.  See what your fellow students had to say!

 

What is the syllabus for the course? Topics include Analysis of Stress, Analysis of Strain, Stress-Strain Equations, Two Dimensional Problems in Elasticity, Criteria for Material Failure, Axisymmetrically Loaded Members, Energy Methods, Special Topics - Finite Difference / Boundary Element Method.  Read the full syllabus.

 

On integrating a research problem in a course in Applied Elasticity: Integrating current research topics into graduate level courses has been encouraged by academic institutions as well as by engineering education programs sponsored by federal agencies such as the National Science Foundation (NSF).  This web based resource is an example of a research problem that begged to be incorporated in a course in Applied Elasticity, and coupled with diligent effort of the people conducting the research; it has made a vast improvement in how the course is taught.

 

On introducing approximate solutions in a course in Applied Elasticity: This work presents how approximate solution methods were introduced in a graduate level course of Theory of Elasticity. The three methods introduced are finite element method, finite difference method, and boundary element method.  All of these methods are exemplified by the problem of a thick-walled cylinder subject to internal pressure, with an axisymmetric response.  Choosing a single problem to introduce the three methods demonstrated accuracy and efficacy of each method.  Read the paper.

Finite Difference Method   (HTML  MWS)

Finite Element Method (HTML  MWS)

Boundary Element Method (HTML  MWS)