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CIV_ENV 415: Theory of Elasticity


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Description

Class Hours: Tue. & Thu. 1:00– 2:20 pm (CST)

Room Location: Fisk Hall 114

Prerequisites: Engineering Analysis, Mechanics of Materials.

Instructor: Oluwaseyi Balogun

Office: Catalysis Building, Rm. 325;

Phone: (847) 491-3054

Website: https://www.balogun.mech.northwestern.edu/

e-mail: o-balogun@northwestern.edu 

Instructor Office Hours: Friday 1-2 PM

Course Textbook:  Elasticity- Theory, Applications and Numerics (4th Edition) Author: Martin H. Sadd, Publisher & Year: Elsevier 2020 ISBN:978-0-12-815987-3

Course Webpages: canvas.northwestern.edu

Description: This course focuses on the mechanics of linear elastic solids. Topics covered include, but not limited to, (1) Formulation of the elastic problem for isotropic and anisotropic materials, (2) Solution methodologies (a. Airy stress functions, b. Finite Element Method, c. Biharmonic functions, d. Fourier transform, e. Strain energy and principle of virtual work, f. Reciprocity), (3) Case Study Problems (a. Saint-Venant's solutions, b. Cracks, c. Circular holes and wedges, d. Thermal stresses and shrink-fit, e. The Eshelby problem, f. Thick pressure vessels), (4) Behavior of Elastic Heterogeneous Materials. 

Course Objective: This course aims to introduce graduate and senior undergraduate students to advanced topics in linear elasticity. Students will build on the knowledge gained through all mechanics related courses of the undergraduate curriculum (statics, mechanics of materials, etc.).

Course Outcomes: Upon completing the course, students will have an advanced understanding of the linear elastic behavior of solids. More specifically, they will be able to:

  1. Derive the governing equations for 2D and 3D elastic problems.
  2.  Solve these problems with various solution methodologies.
  3. Apply the theory of elasticity to problems of practical interest.

Homework: Bi-weekly homework assignments

Grade Distribution: 

Homework Assignments: 50%

Midterm Exam 1: 25%

Midterm Exam 2: 25%

Grades will not be curved