1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

I Stress tensor and partial derivatives of a force field

  1. Aug 3, 2017 #1
    If F = Fxi + Fyj +Fzk is a force field, do the following derivatives have physical significance and are they related to the components of the stress tensor? I notice they have the same dimensions as stress.​

    2Fx / ∂x2

    2Fx / ∂y2

    2Fx / ∂z2

    2Fx / ∂zy

    2Fx / ∂yz

    2Fx / ∂zx

    2Fx / ∂xz

    2Fx / ∂yx

    2Fx / ∂xy

    The same partial derivatives of Fy and Fz
  2. jcsd
  3. Aug 3, 2017 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member
    2017 Award

    They have a physical significance in that they tell you something about how the force field changes. They have a priori nothing to do with the stress tensor. That two quantities have the same physical dimension does not imply that they have to be related.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted

Similar Threads - Stress tensor partial Date
I Significance of the viscous stress tensor Mar 8, 2018
I What does the j means in this notation? Oct 2, 2017
B Light and its ideal speed Jul 21, 2017
I Why is stress a tensor Jan 19, 2017
I Infinitesimal cube and the stress tensor Jan 2, 2017