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Theory Manual Version 3.6
 Section 7.6: Tied Biphasic Contact Up Section 7.6: Tied Biphasic Contact Subsection 7.6.2: Gap Function 

7.6.1 Contact Integral

See Section 2.5↑ for a review of biphasic materials, and [12] for additional details on biphasic contact. The contact interface is defined between surfaces and . Due to continuity requirements on the traction and fluxes, the external virtual work resulting from contact tractions and solvent fluxes ( may be combined into the contact integral To evaluate and linearize , define the covariant basis vectors on each surface as where represents the spatial position of points on , and represent the parametric coordinates of that point. The unit outward normal on each surface is then given by Now the contact integral may be rewritten as where and . The linearization of has the form
 Section 7.6: Tied Biphasic Contact Up Section 7.6: Tied Biphasic Contact Subsection 7.6.2: Gap Function