University of Utah Department of Mechanical Engineering

Engineering Elasticity

Welcome to the ME EN 5500/6500 - Engineering Elasticity home page. Here you will find the latest class information, assignments, handouts, and other useful information.

If you have any questions or comments, please send them to Biswajit Banerjee at banerjee@eng.utah.edu.

Fall Semester 2003

Instructor: Biswajit Banerjee
Email: banerjee@eng.utah.edu
Office: 166 Kennecott Bldg.
Office Hours: By appointment or stop by.

Lectures: M, W 4:35-6:00, EMCB 112

Academic Calendar for Fall 2003

Text:
The Linearized Theory of Elasticity by William S. Slaughter, Publisher: Birkhauser, Boston; ISBN: 0-8176-4117-3

Additional Reading:
Elasticity: Second Edition by J.R. Barber, Publisher: Kluwer Academic Publishers; ISBN: 1-4020-0966-6; (2002)
Elasticity in Engineering Mechanics: Second Edition by Arthur P. Boresi and Ken P. Chong

ME EN 5500/6500 Course Content:

The entire course has been moved to Wikiversity. You can find the contents at http://en.wikiversity.org/wiki/Introduction_to_Elasticity.

-- Biswajit Banerjee (18 Jan, 2008)
o ME EN 5500/6500 Course Syllabus: [PDF| HTML]
oFinal Project Presentations
Penny-Shaped Crack - Part 1
Penny-Shaped Crack - Part 2
Complex Variable Methods - Part 1
Complex Variable Methods - Part 2
Complex Variable Methods - Part 3
Complex Variable Methods - Part 4
o Elasticity Resources
Resources to help you solve elasticity problems.
Resources
Below is a list of potentially useful links to mathematical, symbolic computing and other resources. Not every site has been fully checked out, so please send me feedback regarding the various sites.
Maths Tutorials
o Mathematics dictionary from Wolfram Research
o Rebecca Brannon's tutorials on vectors, tensors and a lot more

Maple Tutorials
o Maple tutorial from Indiana
o Maple tutorial from MapleSoft
o Maple tutorial from the University of Utah

Unix Tutorials
o Unix tutorial from the Univeristy of Utah
o Unix tutorial from University of North Carolina

Emacs Tutorials
o Emacs tutorial from the University of Chicago
o Emacs tutorial from Temple University

LaTeX Tutorials
o Latex tutorial from UC Davis
o Latex tutorial from UMIST

Matlab Tutorials
o Matlab tutorial from Michigan Tech
o Matlab tutorial from the University of British Columbia
o Matlab tutorial from the University of Waterloo
o Matlab tutorial from the University of Utah
History
Brief history of the evolution of linear elasticity.
o Experimental Elasticity
o Theoretical Elasticity
People
Here are some people whose work you will encounter in engineering elasticity.
o Abel (Abel integral equations)
o Airy (Airy stress function)
o Bernoulli, James (Beam bending)
o Bernoulli, Daniel (Superposition)
o Betti (Betti's theorem)
o Boussinesq (Boussinesq solution)
o Burger (Burger's vector)
o Carter (Carter's problem)
o Castigliano (Castigliano's theorem)
o Cattaneo (Cattaneo's problem)
o Cauchy (Cauchy-Green deformation tensor)
o Christoffel (Christoffel symbols)
o Collins (Collins' method)
o Cosserat (Cosserat elasticity)
o Coulomb (Coulomb friction)
o D'Alembert (D'Alembert's principle)
o Descartes (Cartesian coordinates)
o Dirichlet (Dirichlet boundary conditions)
o Duhamel (Rational mechanics)
o Dundurs (Dundurs' theorem)
o Euclid (Euclidean geometry)
o Euler (Equations of equilibrium)
o Flamant (Flamant solution)
o Fourier (Fourier series)
o Louis Fredholm (Fredholm integral equations)
o Galileo (Bending of a beam)
o Galerkin (Galerkin finite element method)
o Gauss (Divergence theorem, potential theory)
o Green, George (Green's function)
o Hadamard (Elastodynamics)
o Hankel (Hankel transform)
o Helmholtz (Helmholtz potential)
o Hertz (Hertzian contact)
o Hooke (Hooke's law)
o Jacobi (Jacobian)
o Kirchhoff (Kirchhoff stress)
o Kronecker (Kronecker delta)
o Lagrange (Green-Lagrange strain tensor)
o Lamb (Elasticity solutions)
o Lame (Lame's constants)
o Laplace (Laplacian)
o Legendre (Legendre polynomials)
o Love (Mathematical thoery of elasticity)
o Maxwell (Maxwell's theorem)
o Mellin (Mellin transform)
o Michell (Michell's solution)
o Mindlin (Mindlin's problem)
o Mohr (Mohr's circle)
o Mohr (Mohr's circle) (hat tip: Ajit Jadhav)
o Navier (Navier's equation)
o Neumann (Neumann boundary condition)
o Newton (Laws of motion)
o Noether (Invariants)
o Ockham (Occam's razor)
o Papkovich (Papkovich-Neuber solution)
o Pascal (Pascal's triangle)
o Poisson (Poisson's ratio)
o Prandtl (Prandtl's stress function)
o Rodrigues (Euler-Rodrigues formula for rotation)
o Saint-Venant (Saint-Venant's principle)
o Stokes (Stokes theorem)
o von Mises (von Mises failure criterion)
o Taylor (Taylor series expansion)
o Taylor, Geoffrey (Dislocations in metals)
o Williams (Williams' solution)
o Young (Young's modulus)
The material on this page has been designed using information from various sources.
Primary sources of inspiration have been
Chris Johnson's scientific computing course
and
J.N. Reddy's elasticity course.
Date Last Modified : August 21, 2003
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