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Theory Manual Version 3.6
 Subsection 7.5.2: Tied Contact Integral Up Section 7.5: Tied Contact Subsection 7.5.4: Discretization 

7.5.3 Linearization of the Contact Integral

Since equation (7.5.2-1) is nonlinear we need to calculate the linearization. For tied contact, this is simply given by the following equation. Where and We also introduced the notation .
The discretization of (7.5.3-1) will lead to a contribution to the stiffness matrix. Notice that due to symmetry between and this matrix will be symmetric.
 Subsection 7.5.2: Tied Contact Integral Up Section 7.5: Tied Contact Subsection 7.5.4: Discretization