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title of the thesis - Department of Geology - Queen's University

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Such that<br />

, (Equation F19)<br />

I is <strong>the</strong> identity matrix,<br />

. (Equation F20)<br />

. (Equation F21)<br />

The resulting deviatoric tensor takes <strong>the</strong> form<br />

. (Equation F22)<br />

Principal deviatoric stresses have <strong>the</strong> same orientation as principal stresses and are defined as:<br />

, (Equation F23)<br />

, (Equation F24)<br />

. (Equation F25)<br />

209

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