EMch 516Mathematical Theory of Elasticity
Assignment 1
Due date: February 9, 2015.
Problem 1
Let V = R3 , that is, consider the vector space of all ordered triples of real numbers (a V
a = cfw_a1 , a2 , a3 with ai R, i = 1, . . . , 3) with the standard

EMch 516Mathematical Theory of Elasticity
Assignment 6
Due date: May 6, 2015.
Problem 1
Many rubber-like materials are traditionally modeled as incompressible. However, there are applications in which components made of these materials (e.g., gaskets and

EMch 516Mathematical Theory of Elasticity
Assignment 4
Due date: April 3, 2015.
Problem 1
Apply the transport theorem and the balance of mass to show that
Z
Z
d
1
v v dv.
v v dv =
dt B(t) 2
B(t)
(1)
Problem 2
As a consequence of the momentum balance laws,

EMch 516Mathematical Theory of Elasticity
Assignment 5
Due date: April 21, 2015.
Problem 1
A model for rubber elasticity that accounts for the finite extensibility of polymer chains was provided
by Gent. This is a model for an incompressible isotropic hyp

EMch 516Mathematical Theory of Elasticity
Assignment 3
Due date: March 20, 2015.
Problem 1
Consider the deformation of a body and let the points in its reference configuration be described
via a rectangular coordinate system with coordinates (X 1 , X 2 ,

EMch 516Mathematical Theory of Elasticity
Assignment 2
Due date: February 24, 2015.
NOTE:
The use of a symbolic manipulation software is encouraged. If you use such software, please be
sure to attach the associated file(s) in PDF format.
Problem 1
Let V b