The Finite Element Method with High-Order Enrichment Functions for Elastodynamic Analysis

Elastodynamic problems are investigated in this work by employing the enriched finite element method (EFEM) with various enrichment functions. By performing dispersion analysis, it is confirmed that for elastodynamic amount of numerical dispersion, which closely related to error from space domain discretization, can be suppressed a very low level when quadric polynomial bases employed construct local functions, while EFEM other types functions (linear or first order trigonometric functions) relatively large. Consequently, present function shows more powerful capacities analysis than considered techniques. More importantly, attractive monotonic convergence property broadly realized approach typical two-step Bathe temporal discretization technique. Three representative experiments conducted verify abilities analysis.