Fully decoupling geometry from discretization in the Bloch–Floquet finite element analysis of phononic crystals

An immersed enriched finite element method is proposed for the analysis of phononic crystals (PnCs) with (FE) meshes that are completely decoupled from geometry. Particularly, a technique to prescribe Bloch–Floquet periodic boundary conditions strongly on non-matching edges unit cell (PUC). The formulation effectively transforms non-confirming discretization into an node-to-node discretizations where periodicity enforced by any standard procedure. also used describe interior material interface. This eliminates tedious process generating matching or fitted during design process, as it allows changing inclusion’s geometry well PnC’s lattice type without FE mesh. approach, which analyze in 1-D, 2-D, and 3-D using structured meshes, exhibits same performance meshes.