Introduction to Continuum Mechanics

CRN#: 92739, Time: 11:15 - 12:05 am, MWF

Bldg: Holden Hall, Room: 303

INSTRUCTOR: | Ronald D. Kriz ( rkriz@vt.edu, 231-2062) |
---|---|

Office Hours (tenative) |
Tuesday & Thrusday 3-5pm; Torgersen Hall, Room 3030 (enter thru 3050) Other times by appointment only; call 231-2062 or email: rkriz@vt.edu the day before. See instructor for special arrangements. |

Text |
Continuum Mechanics, D. Frederick and T.S. Chang. |

Prerequisite |
ESM2034, 3014, Math2214 |

Letter Grades |
A:93-100; A-:90-92; B+:87-89; B:83-86; B-:80-89; C+:77-79; C:73-76; C-:70-72; D+:67-69; D:63-66; D-:60-62; F:59 -> |

**WEIGHTING**: 20% homework, 35% tests/midterm, and 45% final exam. When
appropriate, these weights may be altered to the student's benefit to handle
substantial improvement near the end of the course, homework missed due to
major illness, etc.

**TESTS/MIDTERM:** Typically there are three tests or one-midterm exam.
Absence during a test will result in a grade of zero. Makeup tests will be
given only where a very serious documented reason exists for absence.

**HOMEWORK:** Homework problems are due once a week, one week after they
are assigned. Assignments will be given in class. No homework will be accepted
late for any reason whatsoever. Each assignment will be given a percentage grade
based on equal weight for each problem in the assignment. If you fail to hand in
more than one assignment due to major illness or other
unusual circumstance, please provide a note of explanation and attach any
available supporting documentation. Please leave flat and staple upper left
corner. Put your name in the upper right corner, the assignment number and date
in the upper left corner.

**HONOR CODE:** The Virginia Tech Honor code applies to all homework
and exams, and no form of dishonesty will be tolerated by the instructor or the students.
If a serious attempt to work a homework problem is unsuccessful, then help may be
sought from another student, including those currently in the course. But this
help must be limited to the minimum necessary to allow further progress. Copying
of another students work, including work from old notes, or permitting your work
to be copied, is considered a serious breach of the honor code.

- I. Vectors and Cartesian Tensors
- II. Analysis of Stress in a Continuum
- III. Analysis of Deformation in a Continuum
- IV. Eulerian Form of the Physical Laws
- V. Application to Solids
- VI. Application to Fluids
- VII. Working in curvlinear space (instructors personal notes)
- A. The metric tensor
- B. Covariant and contravariant transformations
- C. Develope equations for conservation of mass, momentum,

and energy in curvlinear coordinates (e.g. spherical and cylindrical).

- Continuum Mechanics. P. Chadwick, John Wiley and Sons (1976)
- A First Course in Continuum Mechanics, Y.C. Fung, Prentice-Hall (1975)
- The Elements of Continuum Mechanics, C. Truesdell, Springer-Verlag (1961)
- Elements of Continuum Mechanics, R. Batra, John Wiley and Sons (2005)1G
- Introduction to Mechanics of Continua, W. Prager, Ginn and Company (1961)
- Tensor Analysis and Continuum Mechanics, W. Flugge, Springer-Verlag (1972)
- Theory and Problems of Continuum Mechanics, G.E. Mase, Schaum's Outline

Series (360 solved problems), McGraw-Hill Book, Company (1970) - Continuum Mechanics for Engineers, G.E. Mase and G.T. Mase, CRC Press (1992)

- Tensor Analysis: Theory and Applications to Geometry and Mechanics of Continua,

I.S. Sokolnikoff,John Wiley and Sons Inc. (1964) - Applications of Tensor Analysis, A.J. McConnell, Dover (1957)
- Tensor Analysis: Fundamenals and Applications, W.S. Krogdahl, University Press
of America (1978)

Ronald D. Kriz

Virginia Tech

College of Engineering

**ESM 5014 Introduction to Continuum Mechanics
Fall 2007**

http://www.sv.vt.edu/classes/ESM5014/ESM5014_Gen.html