Elasticity, Plasticity and Damage Mechanics
Fall 2015
Homework 2
Due Thursday, September 24th
Figure 1: Curved beam in pure bending
1. Consider the curved beam in pure bending shown in Figure 1.
(a) Determine the stresses rr (r, ), (r, ), r (r, ) using an
Linear Algebra Review
Ilinca Stanciulescu
August 27, 2015
1
Notation
meaning
symbol
a (typed materials)
vector
, a (handwritten)
a, a, a
vector
A (typed materials)
matrix (or tensor)
matrix (or tensor)
A, A (handwritten)
there exists
for all
unique
!
:=
Elasticity, Plasticity and Damage Mechanics
Fall 2015
Homework 1
Due Tuesday, September 17th
1. Consider the tensor
aa ab b
1ab
where a and b are unit vectors and I is the identity tensor. Compute
T =I+
a
b+b
(1)
(a) The vector T a (i.e., T operating on t