Abstract
The control of discretization dispersion and spurious oscillations in finite element plane wave propagation problems is examined. Using a lumped mass spatial discretization and an explicit temporal integration, two-dimensional plane strain and plane stress meshes are considered. The control of the discretization errors in uniform meshes is very effective using a time step exactly equal to the stability limit. The magnitudes of spurious wave reflections in non-uniform meshes depend largely on the ratio of element lengths. Actual stress wave transmissions and reflections in composite bars are accurately predicted.
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