Grooved coupling come in two types, rigid and flexible. The rigid coupling rigidly connects components / pipe together, while the flexible coupling allows both axial and angular movements within limits
The Bentley CAE development team has developed methods of modeling grooved fittings using Bentley's AutoPIPE stress analysis program.
See the following link:
http://communities.bentley.com/products/pipe_stress_analysis/w/pipe_stress_analysis__wiki/modeling-victaulic-fittings-in-autopipe.aspx