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Theory Manual Version 3.6
 Subsection 7.5.3: Linearization of the Contact Integral Up Section 7.5: Tied Contact Section 7.6: Tied Biphasic Contact  

7.5.4 Discretization

The contact integral (7.5.2-1) can be discretized as follows. First, we split the integration over all the slave surface elements. The integration can be approximated by a quadrature rule, If we use a nodally integrated elements, we have so that, We can now write the contact integral (7.5.4-1) in its final form, where and For the linearized tied contact integral (7.5.3-1), a similar discretization procedure leads to, where
 Subsection 7.5.3: Linearization of the Contact Integral Up Section 7.5: Tied Contact Section 7.6: Tied Biphasic Contact