We solve a linear elastic small deformation problem with a pre-existing fracture using the lower-dimensional interface element (LIE) approach.
See this PDF for detailed problem description.
The one-sided incompressibility constraint for fracture models is described in this PDF.
Result showing sliding of the upper part of the domain along the fracture:
Same benchmark setup with plane strain conditions in 3D:
Comparison with 2D setup yields identical results (up to numerical differences in order of 1e-15); Resulting displacement on the left axis, and error on the right: