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What stress tensor components mean?

  1. Sep 28, 2015 #1
    Hey! I'm reading a book Intermediate Physics for Medicine and Biology

    In it, there is a section that is describing shear forces and it says this as a side note:
    In general, the force F across any surface is a vector. It can be resolved into a component perpendicular to the sur- face and two components parallel to the surface. One can speak of nine components of stress: Sxx,Sxy,Sxz,Syx,Syy,Syz,Szx,Szy,Szz. The first subscript denotes the direction of the force and the second denotes the normal to the surface across which the force acts. Components Sxx,Syy and Szz are normal stresses; the others are shear stresses. It can be shown that Sxy = Syx, and so forth.

    I'm having a hard time understanding this:
    ....and the second denotes the normal to the surface across which the force acts.

    I'm not understanding this second subscript. If we take Sxx for example, then we're talking about the x-direction of the force and what does that second x mean? I'm confused by this.

    Thanks for any insight provided.
     
  2. jcsd
  3. Sep 28, 2015 #2

    Andy Resnick

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  4. Sep 28, 2015 #3
    Awesome, i should have checked wikipedia first. This image makes way more sense than the written description

    Thanks a lot @Andy Resnick
     
  5. Sep 28, 2015 #4
    The 2nd subscript means "on a plane perpendicular to the x axis." So Sxx is the force per unit area acting in the x direction on a plane perpendicular to the x axis.

    Chet
     
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