New Course ME 612 Continuum Mechanics

ME 200 COURSE PROFILE

Engineering Faculty Document No.  45-06

 

 

TO:  The Engineering Faculty

 

FROM:  The Faculty of the School of Mechanical Engineering

 

DATE: March 29, 2007

 

RE:  New Course Approval ME 612 Continuum Mechanics

 

The Faculty of the School of Mechanical Engineering has approved the following course for a permanent course number. This action is now submitted to the Engineering Faculty with a recommendation for approval.

 

 

ME 612 Continuum Mechanics, Sem. 1. Class 3, cr. 3. Prerequisites: Graduate standing.

 

A unified and exact mathematical treatment of the mechanics of solids and fluids.  Cartesian tensor algebra and calculus; stress tensor, principle stresses and invariants; material and spatial coordinates, deformation gradient, strain and stretch tensors; balance of mass, momentum, and energy; constitutive equations of elasticity, hyperelasticity, viscous fluids and viscoelasticity.

 

Reason:  This course deals with advanced topics in Continuum Mechanics, specifically in the areas of cartesian tensors, kinematics, balance laws, and constitutive equations and their applications.  The course has been offered three times with enrollments of 17 students in fall 2004, 7 students in fall 2005, 12 students in fall 2006. 

 

                  Details of the course are provided in the attached course map and description.

 

 

James D. Jones

Associate Professor and Associate Head

School of Mechanical Engineering


COURSE NUMBER:  ME 612                                                             COURSE TITLE:  Continuum Mechanics

 

REQUIRED COURSE OR ELECTIVE COURSE:  Elective

TERMS OFFERED:  Fall (Alternate Years)

 

TEXTBOOK/REQUIRED MATERIAL:   L.E. Malvern, Introduction to the Mechanics of a Continuum Medium, Prentice-Hall, 1969.

PRE-REQUISITIES:   Graduate Standing

                                       

COORDINATING FACULTY:   G. Subbarayan

COURSE DESCRIPTION:   A unified and exact mathematical treatment of the mechanics of solids and fluids.  Cartesian tensor algebra and calculus; material and spatial coordinates, deformation gradient, strain and stretch tensors; stress tensor, Cauchy tetrahedron, principle stresses and invariants; balance of mass, momentum, and energy; constitutive equations of hyperelasticity, viscous fluids and viscoelasticity.

COURSE OUTCOMES:

1.       Learn the unified and exact mathematical basis as well as the general principles of stress and deformation in solids and fluids.

2.       Extend and generalize the understanding of two-dimensional elasticity theory.

3.       Prepare the student for advanced studies in viscoelasticity, viscous fluids, fracture mechanics and plasticity.

ASSESSMENTS TOOLS:

1.          Weekly deliverables.

2.          Two projects.

3.          Two one-hour exams.

4.          One comprehensive final exam.

RELATED ME PROGRAM OUTCOMES:  N/A

 

 

PROFESSIONAL COMPONENT:  

1.       Engineering Topics:  Engineering Science – 3.0 credits (100%)

                                                

NATURE OF DESIGN CONTENT:  N/A

COMPUTER USAGE:   Students are required to carryout symbolic calculations as part of project using either matlab or mathematica.

COURSE STRUCTURE/SCHEDULE: 

       1. Lecture – 3 days per week at 50 minutes.

PREPARED BY:    G. Subbarayan                                                                                                                                               REVISION DATE:  April 17, 2007