Professional Interests
 computational mechanics
 structural acoustics and fluidstructure interaction
 structural dynamics
 finite element method
Education
 B.S. in Engineering Mechanics, 1964, Lehigh University, Bethlehem, PA
 M.S. in Engineering, 1966, Purdue University, Lafayette, IN
Major: Engineering Sciences; Minor: Electrical Engineering
 Ph.D., Applied Mathematics, 1971, Brown University, Providence, RI
Dissertation: "Stress Concentrations and Boundary Layers in
FiberReinforced Materials"
Adviser: Allen C. (Jack) Pipkin (19311994)
Professional Experience
 1979present, Professorial Lecturer in Engineering, The George Washington University, Washington, DC
 19692001, Scientist (Computational Mechanics), David Taylor Model Basin,
Naval Surface Warfare Center, Carderock Division, Bethesda, MD
 19681969, Engineering Duty Officer, U.S. Navy
 19641966, Member of Technical Staff, Bell Telephone Laboratories, Inc., Indianapolis, IN
Awards
 David W. Taylor Sigma Xi Research Award (1983) for "original
contributions to the understanding of fluidstructure interaction"
 Washington Academy of Sciences Scientific Achievement Award in the Mathematical and Computer Sciences (1984)
for "advances in finite element techniques for mechanics problems"
 Fellow, Washington Academy of Sciences (1984)
 U.S. Navy Meritorious Civilian Service Award (1988)
 NASA's Douglas Michel Achievement Award (1989) for "a technical contribution which has been of significant
value in the advancement of the aerospace technology program of NASA"
Note: The documents below should be printed with no page scaling.
Recent Courses at The George Washington University

MAE/CE 6207  Theory of Elasticity
Introduction to Cartesian tensors; deformation, stress, constitutive relations for linear elasticity;
formulation of boundary value problems; variational principles; torsion and bending of prismatic rods; plane problems.
Spring 2014 Course Outline and Assignments (1/09/14, 191KB, 9 pages)
Elasticity (Lecture Notes) (5/11/13, 1.1MB, 118 pages)
Related link:
Mechanics Demonstrations (Torsion) (S. Govindjee, U. California, Berkeley)

ApSc 6213  Analytical Methods in Engineering III
(Partial Differential Equations)
Analytical techniques for solution of boundaryinitialvalue problems in engineering;
wave propagation, diffusion processes, and potential distributions.
Fall 2012 Course Outline and Assignments (7/22/12, 152KB, 9 pages)
Analytical Solution of Partial Differential Equations (Lecture Notes) (12/11/12, 1.4MB, 127 pages)
Related links:
Math Demonstration Programs (J. Feldman, U. British Columbia)
Acoustics and Vibration Animations (D. Russell, Pennsylvania State U.)
Wolfram Mathworld,
Wolfram Alpha Computational Knowledge Engine (Wolfram Research)

ApSc 6212  Analytical Methods in Engineering II (Linear Algebra)
Algebraic methods appropriate to the solution of engineering computational problems; linear
vector spaces, matrices, systems of linear equations, eigenvalues and eigenvectors, quadratic forms.
Spring 2010 Course Outline and Assignments (1/01/10, 152KB, 9 pages)
Applications of Linear Algebra (Lecture Notes) (6/05/10, 769KB, 101 pages)
Related links:
Gilbert Strang's 1999 MIT lecture videos on linear algebra (35 50minute lectures)
Gilbert Strang's essay "Too Much Calculus" (G. Strang, MIT, 2001, 2 pages)
Linear algebra links from The Math Forum (Drexel U.)
Linear Algebra Demonstrations (MIT)

MAE 6286  Numerical Solution Techniques in Mechanical and Aerospace Engineering
Development of finite difference and finite element techniques for solving
elliptic, parabolic, and hyperbolic partial differential equations.
Fall 2009 Course Outline and Assignments (8/09/09, 178KB, 10 pages)
Numerical Solution of Partial Differential Equations (Lecture Notes) (1/21/10, 1.1MB, 109 pages)
Related links:
Gilbert Strang's 2008 MIT lecture videos on Computational Science and Engineering I (49 50minute lectures)
Gilbert Strang's 2006 MIT lecture videos on Computational Science and Engineering II (29 50minute lectures)
Some Disasters Attributable to Bad Numerical Computing (D. Arnold, U. Minnesota)
Brachistochrone Demonstration (Alexey Ivanov, Russian Academy of Sciences)
Related Links and Notes
 GWU:
Academic Calendar
Schedule of Classes
Campus Map
GWeb
Code of Academic Integrity
Course Evaluations

MacTutor History of Mathematics Archive (J. O'Connor and E. Robertson, U. St. Andrews, Scotland)

History of Mathematics (D. Wilkins, Trinity College, Dublin)

Elastic Analogies (G. Everstine, 4/26/04, 101KB, 10 pages)

Symmetry (G. Everstine, 4/28/04, 82KB, 6 pages)
 Free compilers:
GNU Fortran G77 for Win32
Fortran 95 (G95)
GNU Fortran 95 (gfortran)
GNU C and C++
Microsoft Visual C++ Express
 Free Matlab clones:
Scilab
Octave
 Free software for making PDF files:
PDF24 Creator
PDFCreator
PDF995
 Free LaTeX software for typesetting mathematical documents:
MiKTeX

Interesting Mechanical Engineering Videos (mechanicalebook.com)

Reprints (a small subset of my reprint library)

Piled Higher & Deeper (a grad student comic strip by Jorge Cham)
Other Courses Taught at The George Washington University

ApSc 211  Analytical Methods in Engineering I (Complex Variables)
Engineering applications of the theory of complex variables: contour integration, conformal mapping,
inversion integral, and boundaryvalue problems.

CE 252  General Structural Dynamics
Analysis of single and multiple degree of freedom structural systems under steadystate and transient loads;
response of discretized structural systems such as rigid frames, plates and thin shells under dynamic loads.

EngS 284  Numerical Methods in Engineering
Eigenvalue problems. Numerical solution of systems of equations and ordinary differential equations. Solution
techniques for elliptic, parabolic, and hyperbolic partial differential equations. Numerical methods for solving
finite element equations. Introduction to solution of fluidflow problems.

EngS 285  Finite Element Methods in Engineering Mechanics
Calculus of variations. Variational formulation of the finite element method. Weighted residual techniques.
Computer implementation of the finite element method. Application to problems in heat transfer, stress analysis,
fluid flow, and structural analysis.
Selected Publications
 G.C. Everstine and T.G. Rogers, A Theory of Machining of FiberReinforced Materials, J. Composite Materials, Vol. 5, pp. 94106 (1971).
 G.C. Everstine and A.C. Pipkin, Stress Channelling in Transversely Isotropic Elastic Composites, J. Applied Mathematics and Physics (ZAMP), Vol. 22, pp. 825834 (1971).
 G.C. Everstine and A.C. Pipkin, Boundary Layers in FiberReinforced Materials, J. Applied Mechanics, Vol. 40, No. 2, pp. 518522 (1973).
 G.C. Everstine, A NASTRAN Implementation of the Doubly Asymptotic Approximation for Underwater Shock Response, NASTRAN: Users' Experiences, NASA TM X3428, National Aeronautics and Space Administration, Washington, DC, pp. 207228 (1976).
 G.C. Everstine, Comment on `On Symmetries and Antisymmetries in Solving Vibration Problems Using High Precision Finite Elements', J. Sound and Vibration, Vol. 52, No.1, pp. 143144 (1977).
 H. Huang, G.C. Everstine, and Y.F. Wang, Retarded Potential Techniques for the Analysis of Submerged Structures Impinged by Weak Shock Waves, in Computational Methods for FluidStructure Interaction Problems, edited by T. Belytschko and T.L. Geers, AMDVol. 26, American Society of Mechanical Engineers, New York, pp. 8393 (1977).
 Y.P. Lu, J.W. Killian, and G.C. Everstine, Vibrations of ThreeLayered Damped Sandwich Plate Composites, J. Sound and Vibration, Vol. 64, No. 1, pp. 6371 (1979).
 G.C. Everstine, A Comparison of Three Resequencing Algorithms for the Reduction of Matrix Profile and Wavefront, Int. J. Num. Meth. in Engrg., Vol. 14, No. 6, pp. 837853 (1979).
 Y.P. Lu and G.C. Everstine, More on Finite Element Modeling of Damped Composite Systems, J. Sound and Vibration, Vol. 69, No. 2, pp. 199205 (1980).
 G.C. Everstine, Structural Analogies for Scalar Field Problems, Int. J. Num. Meth. in Engrg., Vol. 17, No. 3, pp. 471476 (1981).
 G.C. Everstine, A Symmetric Potential Formulation for FluidStructure Interaction, J. Sound and Vibration, Vol. 79, No. 1, pp. 157160 (1981).
 H.C. Neilson, G.C. Everstine, and Y.F. Wang, Transient Response of a Submerged FluidCoupled DoubleWalled Shell Structure to a Pressure Pulse, J. Acoust. Soc. Amer., Vol. 70, No. 6, pp. 17761782 (1981).
 G.C. Everstine, Finite Element Solution of Torsion and Other 2D Poisson Equations, Tenth NASTRAN Users' Colloquium, NASA CP2249, National Aeronautics and Space Administration, Washington, DC, pp. 153164 (1982).
 J.C.S. Yang, N. Dagalakis, G.C. Everstine, and Y.F. Wang, Measurement of Structural Damping Using the Random Decrement Technique, The Shock and Vibration Bulletin, Bulletin 53, Part 4, pp. 6371 (1983).
 G.C. Everstine and E.H. Cuthill, The Optimal Ordering of Tree Networks, Computers and Structures, Vol. 17, No. 4, pp. 621622 (1983).
 G.C. Everstine and M.S. Marcus, Dynamic Response Prediction for Structures with FrequencyDependent Damping Treatments, Paper ESP22/85022, 22nd Annual Meeting, Society of Engineering Science, Pennsylvania State University, University Park, Pennsylvania (1985).
 G.C. Everstine, Dynamic Analysis of FluidFilled Piping Systems Using Finite Element Techniques, J. Pressure Vessel Technology, Vol. 108, No. 1, pp. 5761 (1986).
 G.C. Everstine, GridPoint Sequencing, Part 4, Section 3.2 in Finite Element Handbook, edited by H. Kardestuncer and D.H. Norrie, McGrawHill Book Company, New York, pp. 4.1774.183 (1987).
 G.C. Everstine, Symmetry, Part 4, Section 3.3 in Finite Element Handbook, edited by H. Kardestuncer and D.H. Norrie, McGrawHill Book Company, New York, pp. 4.1834.190 (1987).
 G.C. Everstine, Treatment of Static Preload Effects in Acoustic Radiation and Scattering, Sixteenth NASTRAN Users' Colloquium, NASA CP2505, National Aeronautics and Space Administration, Washington, DC, pp. 138152 (1988).
 G.C. Everstine and F.M. Henderson, Coupled Finite Element/Boundary Element Approach for FluidStructure Interaction, J. Acoust. Soc. Amer., Vol. 87, No. 5, pp. 19381947 (1990).
 G.C. Everstine, Prediction of Low Frequency Vibrational Frequencies of Submerged Structures, J. Vibration and Acoustics, Vol. 113, No. 2, pp. 187191 (1991).
 J.H. Kane, S. Mao, and G.C. Everstine, A Boundary Element Formulation for Acoustic Shape Sensitivity Analysis, J. Acoust. Soc. Amer., Vol. 90, No. 1, pp. 561573 (1991).
 S.A. Hambric and G.C. Everstine, Acoustic Intensity Calculations for Finite Element FluidStructure Interaction Problems, FluidStructure Interaction, Transient ThermalHydraulics, and Structural Mechanics, PVPVol. 231, edited by C.Y. Wang, F.J. Moody, and Y.S. Shin, The American Society of Mechanical Engineers, New York, pp. 2329 (1992).
 G.C. Everstine and R.S.C. Cheng, The Coupling of Finite Elements and Boundary Elements for Scattering from FluidFilled Structures, Computer Technology  1992  Advances and Applications, PVPVol. 234, edited by R.S. Gallagher and G.M. Hulbert, The American Society of Mechanical Engineers, New York, pp. 4347 (1992).
 G.C. Everstine and E.W. Brooks, Comments on 'Finite Element Analysis of the Quarter Scale Advanced Double Hull Design', Naval Engineers Journal, Vol. 107, No. 4, pp. 151153 (1995).
 G.C. Everstine, Transient FluidStructure Interaction Using Finite Elements, in FluidStructure Interaction and Structural Mechanics  1995, edited by C.Y. Wang, PVPVol. 310, The American Society of Mechanical Engineers, New York, pp. 7784 (1995).
 G.C. Everstine, Finite Element Formulations of Structural Acoustics Problems, Computers and Structures, Vol. 65, No. 3, pp. 307321 (1997).
 G.C. Everstine, G.C. Gaunaurd, and H. Huang, Acoustic Scattering by Two Submerged Spherical Shells: Mutual Validation on the Normal Mode Series and B.E.M. Solutions, Proceedings of the ASME Noise Control and Acoustics Division, NCAVol. 24, edited by T.M. Farabee, The American Society of Mechanical Engineers, New York, pp. 6773 (1997).
 G.C. Everstine, G.C. Gaunaurd, and H. Huang, Acoustic Scattering by Two Submerged Spherical Shells: Numerical Validation, J. Computational Acoustics, Vol. 6, No. 4, pp. 421434 (1998).
 G.C. Gaunaurd and G.C. Everstine, Viscosity Effects on the Propagation of Acoustic Transients, J. Vibration and Acoustics, Vol. 124, pp. 1925 (2002).
 G.C. Gaunaurd and G.C. Everstine, Energy Radiated by a Point Acoustic Dipole That Reverses Its Uniform Velocity Along Its Rectilinear Path, J. Acoust. Soc. Amer., Vol. 113, No. 2, pp. 735740 (2003).
 G.C. Gaunaurd and G.C. Everstine, Elasticity Solution for an Axially Compressed and Encased Cylindrical Specimen, Int. J. Mech. Sci., Vol. 49, No. 1, pp. 116121 (2007).
5/11/2014