EGM 6611 CONTINUUM MECHANICS I
Fall 1997

• Instructor : Dr. L. Vu-Quoc
• CLassroom: 327 Aero
• Class time: MWF, period 2, 8:30am-9:20am
• Office hours: Room 135 NEB, Tel: 392-6227
  Tue, periods 2+3 (8:30 - 10:25);
  Thu, period 2 (8:30 - 9:20)

Catalog Description: Prereq: EGM 3520. Tensors of stress and deformation. Balance and conservation laws, thermodynamic considerations. Examples of linear and non-linear constitutive relations. Field equations and boundary conditions of fluid flow.

Textbook: Malvern, L.E. [1969], Introduction to the Mechanics of a Continuous Medium, Prentice-Hall. Library call No. 531 M 262i (reserved, two-hour consultation). Basic textbook for the course. Additional useful references are given below.

References:

• Mase, G.E. [1970], Continuum Mechanics, Schaum's Outline Series, McGraw-Hill. This book contains many solved problems. It will be useful especially for those of you who are first exposed to the subject. I will assign additional readings on solved problems in this book.
• Fung, Y.C. [1994], A First Course in Continuum Mechanics, 3rd edition, Prentice Hall. Library call No. QA808-2 .G86 (reserved, two-hour consultation). This book is mathematically at the intermediate level, written by a famous professor in the field. Its content is inspiring and practical. There are many examples in biomechanics. I will use several examples in this book.
• Gurtin, M. [1981], An Introduction to Continuum Mechanics, Academic Press. Library call No. QA808-2 .G86 (reserved, two-hour consultation). This nice book is mathematically more advanced. I will refer to this book on various occasions, e.g., linear algebra and tensor analysis.

Prerequisites by Topic: Knowledge of the material normally presented in the first undergraduate courses on mechanics of fluids and solids.

Goals: Provide a physically based but primarily analytical and theoretical introduction to the subject as preparation for more advanced study in solid and fluid mechanics and the reading of current literature in these fields.

Topics: Scalars, vectors, tensors; traction, stress, deformation, infinitesimal strain; finite strain, stress and strain rate; Eulerian and Lagrangian formulation; conservation principles thermodynamics, entropy; principle of virtual power; linear viscous behavior of fluids and elastic behavior of solids; inviscid flow; brief introduction to linearized elasticity. Note: Elasticity, viscoelasticity and plasticity are taught in specialized courses devoted to these topics. Detailed course contents.

Project(s): TBA

Computer Support Required: None.

Engineering Applications: See comments under goals. This course provides a solid foundation in continuum mechanics to prepare students the ever advancing level of aerospace, civil, materials, mechanical, and allied branches of engineering.

Exams: Three one-hour exams. Closed book. Exam 1 in October; exam 2 in November; exam 3 in December.

Grading: Homework: 25%, Exam 1: 25%, Exam 2: 25%, Exam 3: 25%

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Last modified: Wed, 12 Nov 1997, 12:13:27 EST