By　considering　the　functionality　of　junctions　and　entanglements　of　polymer　chains　for　polyelectrolyte　gels,　a　new　free　energy　density　function　is　presented　via　combining　Edwards-Vilgis　slip-link　model　with　Flory-Huggins　theory.　On　this　basis,　the　effects　of　the　functionality　of　network　junctions　and　entanglements　of　polymer　chains　are　systematically　analyzed　for　free　swelling　of　a　cubic　polyelectrolyte　gel　and　constrained　swelling　of　a　blanket　layer　of　the　gel.　Analytical　results　show　that　the　functionality　of　junctions　and　chains　entanglements　plays　an　important　role　in　the　coupled　chemomechanical　deformation　of　polyelectrolyte　gels.