12.520 Geodynamics

Problem set 1

Problem 6 (15%)

We can define the "lithostatic stress" at a depth d below the surface of rock of density r as:

Suppose, in addition to this lithostatic stress, there is a small tectonic stress, t, superimposed, as given below. . Write both the deviatoric stress sdev and the nonlithostatic stress snl for the given stress tensors: i) 

ii) 

ii) 

  Solution: Remembering that a deviatoric stress is  and a nonlithostatic stress is  we can write for each case:

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