The stress equations of motion and equilibrium:
Consider equation 2.5 and 2.7, the stress equilibrium relation can be obtained as
Using Gauss's transformation, the surface integral can be transformed into a volume integral as
The integration can be taken through any volume within the body and it can not be satisfied, if the integrand is not zero at every point, so that
If the body is held in equilibrium, then the equations of equilibrium are
If, the body has not yet reached equilibrium, then the acceleration at any point
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