12.520 Geodynamics

Problem set 1

Problem 1 (10%)

Write out symbolically the relationship between the traction vector acting on a surface, T_i, the normal vector describing the orientation of the surface, n_j, and the local stress tensor, using s_ji

a) Vector-matrix notation,

b) The summation symbol,

c) The Einstein summation convention, S

d) full explicit evaluation, writing out each term.

Solution:

a) Vector-matrix notation:

b) Summation symbol:

c) Einstein summation notation:

d) Full explicit evaluation:

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