Dr. L. Vu-Quoc: EGM 6611 Continuum Mechanics, Fall 2003

Tue, 16 Dec 2003, 18:29:16 EST
EGM 6611 Continuum Mechanics, Fall 2003

Instructor : Dr. L. Vu-Quoc

Classroom: NEB 102
Lectures will be given in this videotaping room.
Class time: MWF, period 4 (10:40am - 11:30am)
Office hours: MWF, period 6 (12:50pm - 1:40pm)

Set your browser to get the latest version of these docs at each click.

IMPORTANT ANNOUCEMENTS:

Outreach Engineering Education Program: Handouts, streaming videos, etc.
How to install realOne player to view the lecture streaming videos
Students are requested to read the designated sections of the textbook. You are responsible to know all materials in the listed sections. The lectures will focus on important points in these sections. If you have any questions, please feel free to either ask in class, or put these questions in writing anonymously, or see me during my office hours.

NOTE: Please reload often all web pages to your browser, since I am continously adding new materials to these web pages. Also, set your browser to get the latest version of these docs at each click.

Syllabus: See also the course web page in Fall 2001 for more details.
list of topics (Fall 2001).
Guidelines for HW reports
Cooperative learning techniques
Additional references:
- Vu-Quoc, L., and Tan, X.G., `` Optimal solid shells for nonlinear analyses of multilayer composites. Part I: Statics, '' Computer Methods in Applied Mechanics and Engineering, Vol.192, No.9-10, pp.975-1016, Feb 2003. (pdf)
- Vu-Quoc, L., and Tan, X.G., `` Optimal solid shells for nonlinear analyses of multilayer composites. Part II: Dynamics, '' Computer Methods in Applied Mechanics and Engineering, Vol.192, No.9-10, pp.1017-1059, Feb 2003. (pdf)
- P. Chadwick, M. Vianello, S.C. Cowin, A new proof that the number of linear elastic symmetries is eight, Journal of the Mechanics and Physics of Solids, Volume 49, Issue 11 , November 2001, Pages 2471-2492. (pdf)
- Nanotechnology: Image galery of the Smalley group.
- P. Zhang, Y. Huang, H. Gao, and K. C. Hwang, Fracture Nucleation in Single-Wall Carbon Nanotubes Under Tension: A Continuum Analysis Incorporating Interatomic Potentials, J. Appl. Mech. 69, 454 (2002). (pdf)
- V. B. Shenoy, R. Miller, E. b. Tadmor, D. Rodney, R. Phillips and M. Ortiz, An adaptive finite element approach to atomic-scale mechanics--the quasicontinuum method, Journal of the Mechanics and Physics of Solids, Volume 47, Issue 3, 1 March 1999, Pages 611-642. (pdf)
- J. Knap and M. Ortiz, An analysis of the quasicontinuum method, Journal of the Mechanics and Physics of Solids, Volume 49, Issue 9, September 2001, Pages 1899-1923. (pdf)
- R. Khattree, Antieigenvalues and antieigenvectors in statistics, Journal of Statistical Planning and Inference Volume 114, Issues 1-2 , 1 June 2003, Pages 131-144. (pdf)
  See also C.R. Rao's colloquium on Anti-eigen values and anti-singular values of a matrix and applications to problems in statistics, University of Florida, 22 Sep 2003.
Tips for exam takers
Exam statistics Tue, 16 Dec 2003

Week 16:

Reading: Sun, 07 Dec 2003
- Malvern, Chap 6, pp.280-1: Hooke's law revisited; isotropic linear elasticity, connection between Lame's constants, Young's modulus, and Poisson's ratio.
Wed, 10 Dec 03: Exam 2

Week 15:

Reading: Sun, 07 Dec 2003
- Lecture notes of Fall 2001 on general principles.
- Malvern, Section 2.5.
- Malvern, Chap 5, general principles: Secs 5.1-5.3 (except couple stress and equation of motion in reference state), Sec 5.5 (except virtual work of stress resultants...)
Fri, 5 Dec 03: HW12 due.

Week 14:

Reading:
- Lecture notes of Fall 2001 on general principles.
- Malvern, Section 2.5.
- Malvern, Chap 5, general principles.
- Truesdell's article on Concept of Stress, Section 3 on Euler's dynamical equation of perfect fluid and Euler's Cut Principle.
  Latin expression "monumentum aere perennius" (monument lasting more than made of bronze, immortal work of art or science, pronunciation): Monumentum, aere, aere perennius (more lasting than bronze, pronunciation)
- Etymology of quadrature (my FEM lectures of Spring 2001)
Wed, 26 Nov 03: HW10 due.

Week 13:

Reading:
- Lecture notes of Fall 2001 on strains and general principles.
- Malvern, Chap 4, Secs 4.1-4.5, strains.
- Malvern, Section 2.5.
- Malvern, Chap 5, general principles.
- Truesdell's article on Concept of Stress, Section 3 on Euler's dynamical equation of perfect fluid and Euler's Cut Principle.

Week 12:

Reading:
- World-Stress-Map project: World-Stress Map Release 2003, Stress regimes, legend
- Plate tectonic boundaries
- Lecture notes of Fall 2001 on strains.
- Malvern, Chap 4, Secs 4.1-4.5, strains.
- Malvern, Section 2.5.
- Malvern, Chap 6, on the von Mises yield criterion and assumptions.
HW12: Please download.
Fri, 14 Nov 03: HW7 due.

Did you know: Physics Forged in the Tripos, Science, 24 Oct 03: Importance of derivation.

Week 11: Mon, 3 Nov 03

Reading:
- Malvern, Sec. 3.3-3.5, stresses;
- Chadwick, pp.17-19 on invariants.
- Lecture notes of Fall 2001 on stresses.

Did you know: Restless nights, listless days, Nature, 30 Oct 03: More and more people's working and social lives are blighted by skewed sleep patterns. Is it time for the medical mainstream to take notice of what neuroscientists are learning about the body clock?

Week 10:

Reading:
- Malvern, Sec. 3.3-3.5, stresses.
- Chadwick, pp.17-19 on invariants.
- Chadwick et al. [2001], Introduction, Eqs.1-8; triclinic, orthotropic, isotropic materials; Table 1. Malvern, p.280. Wilkinson, handout.
- Khattree [2003] on applications of anti-eigenvalue problem.
HW10: Please download.

Week 9:

Reading:
- Rao [2003]'s abstract on anti-eigenvalue problem.
- Chadwick et al. [2001], Introduction, Eqs.1-8, Hooke's law (review Malvern, p.37), glance through the 8 elastic stress-strain relations.
- Malvern, Sec. 3.3-3.5, stresses;
- Chadwick, pp.17-19 on invariants.
Fri, 24 Oct 03: HW5 and HW6 due.

Week 8:

Wed, 15 Oct 03: in-class Exam 1, closed books, closed notes, no formula sheet.
Reading:

Week 7:

Reading:
- Malvern, Sec. 3.1-3.3, stresses;
  p.207, continuity equation;
  p.211, material time derivative, Reynolds Transport Theorem.
- Adjugate (or adjoint) matrix and inverse matrix: Chadwick, p.20; Marcus & Mink, p.13.; Strang, p.170.
- Glance through Chadwick et al. [2001], with a particular attention on the 8 stress-strain relations.
- History on Robert Hooke:
  Championing a 17th century underdog, Science, Vol.301, p.152, 11 Jul 2003.
  Hooked on Hooke; Hooke and Generation of Mold Science, Vol.301, p.1845, 26 Sep 2003.
  See also the appendix on Newton in A brief history of time, by Stephen Hawking.
HW7: Please download.

Week 6:

Reading:
- Malvern, Chap 3, Sec. 3.1 to 3.3, stresses.
- Malvern, review Chap 2, and compare to Chadwick and to Kolmogorov & Fomin.
- Kolmogorov & Fomin, linear spaces, scalar product, norm, generalization to linear function spaces.
HW6: Please download.
Fri, 3 Oct 03: HW4 due.

Week 5:

Reading:
- Hughes and Cook: Jacobian in FEM.
- Malvern, Section 2.5, p.58, gradient of a tensor, jacobian.
- Malvern, Section 4.2, pp.129-132, small strain tensor, jacobian.
- Malvern, review Chap 2, and compare to Chadwick.
- Chadwick, Chap 1, tensor algebra.
HW5: Please download.
Fri, 26 Sep 03: HW3 due.

Week 4:

Reading:
- Chadwick, Chap 1, tensor algebra.
- Malvern, Section 2.4, Parts 1-4.
HW4: Please download.
Fri, 19 Sep 03: HW2 due.

Week 3:

Reading:
- Malvern, Section 2.4, Parts 1-4.
HW3: Please download.
Fri, 12 Sep 03: HW1 due.

Week 2:

Reading:
- Malvern, Section 2.4, Part 2.
- Chadwick, Chap 1, tensors, tensor product.
HW2: Please download.

Week 1:

Reading:
- Malvern, Section 2.1-2.3 (tensors); Appendix I, pp.569-572 (Euclidean vector space, linear independence, basis, scalar product, orthogonality; skip curvilinear coordinates).
HW1: Please download.
(Note that the HW number corresponds to the Week number; thus HW1 corresponds to Week 1.)

[ Bio | Publications | Research | Teaching ]

Home page: Loc Vu-Quoc E-mail: vu-quoc AT ufl.edu MAE Department