Continuum Mechanics Quiz
1. What is a dynamic equation? What are four components of the conservation of momentum used to derive the dynamic equations? Give a dynamic equation for the x-component of a Cartesian coordinate system.
2. What is a continuity equation? Give the continuity equation for an incompressible fluid in a Cartesian coordinate system.
3. What is the difference between kinematics and dynamics?
4. What is a constitutive equation? Give a general equation for a stress tensor. What are the two parts components of this equation?
5. A continuum body undergoes the displacement u = (3X2-4X3)e1 + (2X1-X3)e2+(4X2-X1)e3. Recall that ei is the unit vector in the ith direction. Determine the displaced position of the vector joining particles A(1,0,3) and B(3,6,6).