GEOE 413 Lecture Notes - Lecture 4: Shear Stress, Dot Product
21 Sep 2016
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Disclaimer: most of this lecture was to give us an idea of what kind of complicated math the computer will be doing when we analyze the data collected from the field trip. Most of this will not be tested on so this is just an overview of what was covered and does not give a lot of details. Scalar: quantity independent of orientation (0th order relationship to orientation) Vector: quantity divisible into components which are 1st order functions of orientation. Tensor: quantity divisible into components which are nth (n=rank) order functions of orientation. First order function of orientation: (cid:1866)=(cid:1867) Tensor can be rotated to be analyzed in different coordinate systems. Fundamental equations: using trig identities the equations shown in stress and strain a tensor can be changed to what is seen below. A particular orientation will get rid of shear stress and the principal stresses are revealed: ex.
