Continuum Mechanics Quiz

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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).

 

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