Spring 2009
Lecture 001: TuTh 9:30-11am, 3113 Etcheverry Hall

Instructor
Professor Panos Papadopoulos
Room 6131 Etcheverry Hall
E-mail: panos@me.berkeley.edu
Telephone: 510-642-3358
Office hours: Mondays and Wednesdays 3-4pm

GSI
Nathan Hallquist
Room 136 Hesse Hall
E-mail: nah@berkeley.edu
Telephone: 510-643-7579
Office hours: Tuesdays 2-4pm

Course Handouts
Conduct of Course
Course Outline
Bibliography
Notation and List of Symbols
Midterm examination from Spring 2005

Course Notes
Notes on Continuum Mechanics
Notes on Finite Element Methods

Links to Papers

N.J. Higham. Newton's method for the matrix square root. Math. Comp., 46, pp. 537-549, (1986).

J. Lu and P. Papadopoulos. On the Direct Determination of the Rotation Tensor from the Deformation Gradient. Math. Mech. Sol., 2, pp. 17-26, (1997).

A. Hoger and D.E. Carlson. On the Derivative of the Square Root of a Tensor and Guo's Rate Theorems. J. Elast., 14, pp. 329-336, (1984).

J. Casey. On Infinitesimal Deformation Measures. J. Elast., 28, pp. 257-269, (1992).

T.J.R. Hughes. Consistent Linearization in Mechanics of Solids and Structures. Comp. & Struct., 8, pp. 391-397, (1978).

K.-J. Bathe, E. Ramm, and E.L. Wilson. Finite Element Formulations for Large Deformation Dynamic Analysis. Int. J. Num. Meth. Engrg., 9, pp. 353-386, (1975).

D.J. Benson. An Efficient, Accurate, Simple ALE Method for Nonlinear Finite Element Analysis. Comp. Meth. Appl. Mech. Engrg., 72, pp. 305-350, (1989).

A.M. Winslow. Numerical Solution of the Quasilinear Poisson Equation in a Nonuniform Triangle Mesh. J. Comp. Phys., 1, pp. 149-172, (1967).

J.U. Brackbill and J.S. Saltzman. Adaptive Zoning for Singular Problems in Two Dimensions. J. Comp. Phys., 46, pp. 342-368, (1982).

A.H. Chorin. Numerical Solution of the Navier-Stokes Equations. Math. Comp., 22, pp. 745-762, (1968).

J. Donea, S. Giuliani, H. Laval and L. Quartapelle. Finite Element Solution of the Unsteady Navier-Stokes Equations by a Fractional Step Method. Comp. Meth. Appl. Mech. Engrg., 30, pp. 53-73, (1982).

F. Cajori. Historical Note on the Newton-Raphson Method of Approximation. The American Mathematical Monthly, 18, pp. 29-32, (1911).

D.W. Decker and H.B. Keller. Multiple limit point bifurcation. Journal of Mathematical Analysis and Applications, 75, pp. 417-430, (1980).

Other Useful Links

O.C. Zienkiewicz, R.L. Taylor and J.Z. Zhu, The Finite Element Method: Its Basis & Fundamentals. 6th Edition, Elsevier Butterworth-Heinemann, Oxford, 2005. Appendix I. Matrix diagonalization or lumping.

D.G. Luenberger, Linear and Non-linear Programming, 2nd Edition, Addison-Wesley, Reading, 1984. See pages 366,368,369 (penalty method)

R. Glowinski and P. Le Tallec, Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics, SIAM, Philadelphia, 1989. See pages 48-51 (augmented Lagrangian method)

Homework Assignments
Assignment 1
Assignment 2
Assignment 3
Assignment 4
Assignment 5
Assignment 6

FEAP Input Files
Ilin (Assignment 5)
Inonlin (Assignment 5)
Itan (Assignment 5)
Iarch (Assignment 6)
Icant (Assignment 6)

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Last modified January 19, 2009
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