lecture notes

The lecture notes are prepared by Prof. Joost Vlassak based on a set of course notes put together by Prof. Suo when he taught ES 240 in 2006, as well as on course notes developed by Prof. Vlassak for ES 246.

Please see attached.

Lecture notes of interest to mechanicians

Submitted by Managers on Wed, 06/13/2007 - 12:04

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Introductory Mechanics of Materials/Material Behavior

Instabilities

Submitted by Zhigang Suo on Thu, 05/03/2007 - 03:02

Free energy and generalized coordinate. Equilibrium and stability
Control parameter
Configurational transitions of two types
Critical point of configurational transition of the second type. Bifurcation analysis
Behavior near a critical point. Post-bifurcation analysis
Load-displacement relation near a critical point
Koiter's theory of imperfection sensitivity
A family of systems of many degrees of freedom
Mode of bifurcation
Vibration in the neighborhood of an equilibrium configuration

Complex variable methods

Submitted by Zhigang Suo on Fri, 04/13/2007 - 19:10

What types of PDEs can be solved using complex variable methods
Anti-plane shear
Elements of a function of a complex variable (contour integral, analytic continuation, conformal mapping)
Line force
Screw dislocation
Crack
Circular hole
Elliptic hole
Plemelj formulas
Riemann-Hilbert problem
Crack interacting with a point singularity
In-plane deformation
Dundurs parameters
Interfacial cracks
Anisotropic materials. Stroh formalism

Poroelasticity, or migration of matter in elastic solids

Submitted by Zhigang Suo on Tue, 03/06/2007 - 05:14

A sponge is an elastic solid with connected pores. When immersed in water, the sponge absorbs water. When a saturated sponge is squeezed, water will come out. More generally, the subject is known as diffusion in elastic solids, or elasticity of fluid-infiltrated porous solids, or poroelasticity. The theory has been applied to diverse phenomena. Here are a few examples.

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