Three things, and I appreciate your feedback!: 1) thanks for the video! Good info! 2) I got a little confused about your notation, but I knew you meant the plastic strain tensor (second rank) not the plastic strain (zero rank). 3) My question is this, for granular materials, I believe plastic strain was caused by LOCAL shear loads only, so if one were to take the resolved tractions onto a given slip plane, then one would then find that all the principal direction’s normal loads WOULD NOT contribute to plastic deformation, but instead ONLY shear loads WOULD cause slip / plastic deformation. Put another way, instead it would only be the external load’s resultants that are resolved tangent-ly onto a given slip plane, which would cause shear, correct? Further, I cant remember if the principal normals sig_xx, sig_yy, sig_zz go to zero when the external loads are resolved onto the slip plane, or just that they do not contribute to plastic deformation?
It is a property of the gradient to be alway in the direction of of the greatest increase. That mean for contour plot it is perpendicular to the isoline !
Three things, and I appreciate your feedback!:
1) thanks for the video! Good info!
2) I got a little confused about your notation, but I knew you meant the plastic strain tensor (second rank) not the plastic strain (zero rank).
3) My question is this, for granular materials, I believe plastic strain was caused by LOCAL shear loads only, so if one were to take the resolved tractions onto a given slip plane, then one would then find that all the principal direction’s normal loads WOULD NOT contribute to plastic deformation, but instead ONLY shear loads WOULD cause slip / plastic deformation. Put another way, instead it would only be the external load’s resultants that are resolved tangent-ly onto a given slip plane, which would cause shear, correct? Further, I cant remember if the principal normals sig_xx, sig_yy, sig_zz go to zero when the external loads are resolved onto the slip plane, or just that they do not contribute to plastic deformation?
Really useful - would it be possible to number these, so when you mention 'previous lesson' it's easy to find it? Thanks :)
At 12:30, I didn’t get the insight why partial sigma(kl)/ partial sigma (ij) is equal to del(il).del(kj).
what is the link for the preceeding lectures or playlist?
why does the partial f partial sigma ij means the nomal to that surface?
It is a property of the gradient to be alway in the direction of of the greatest increase. That mean for contour plot it is perpendicular to the isoline !