Conjugated infinite elements for two-dimensional time-harmonic elastodynamics

Wave propagation problems in unbounded domains require the handling of appr opriate radiation conditions (Sommerfeld). Various absorbing boundary condi tions are available for that purpose. In a discrete finite element context, local and global Dirichlet-to-Neumann (DtN) and infinite element methods h ave shown their efficiency for the scalar wave equation. The paper concentrates on the extension of an infinite element method to th e elastodynamic vector wave equation. The extension is developed in the fre quency domain for 2-D problems. The paper focuses on the development of a c onjugated formulation using the Helmholtz decomposition theorem of smooth v ector fields. The accuracy of the developed formulation is assessed through the study of benchmarks. The computed results are shown to be in good agre ement with the analytical solution for a multi-pole field along a circular cavity and with the results produced by other numerical methods.