Constitutive Relation and Weak Contributions
The constitutive relations for the membrane on the reference surface are similar to those used in the Solid Mechanics interface.
The thermal strains and initial stresses-strains (only for the in-plane directions of the membrane) are added in the constitutive relation in a similar manner as it is done in Solid Mechanics.
The weak expressions in the Membrane interface are similar to that of linear elastic continuum mechanics.
See also Analysis of Deformation in the documentation of the Solid Mechanics interface.