Homework

1. Verify the property given in Equation (2.6) for rotation matrix.
   
   
2. Using Equation (2.6), show that
   

where the term , called Kronecker delta, has the value 1 on the diagonal and 0 on the off diagonal, that is, it represents an identity matrix when represented in matrix form.

3. Using relation for strain components (given in Equation (2.21)) write the expanded form of all strain components and understand the physical significance of all strain components. (The normal strain components denote the stretching of a line element, etc.)
   
   
4. Derive the principles of minimum of total potential and total complementary potential energy.
   
   
5. Derive the principle of virtual work.