التفاصيل البيبلوغرافية
| العنوان: |
Explicit asynchronous time scheme with local push-forward stepping for discontinuous elastic wave propagation: One-dimensional heterogeneous cases and Hopkinson bar experiment. |
| المؤلفون: |
Dvořák, Radim1,2 (AUTHOR) radimd@it.cas.cz, Kolman, Radek1 (AUTHOR) kolman@it.cas.cz, Fíla, Tomáš1,2 (AUTHOR) filatoma@fd.cvut.cz, Falta, Jan1,2 (AUTHOR) faltaja2@fd.cvut.cz, Park, K.C.1,3 (AUTHOR) kcpark@colorado.edu |
| المصدر: |
Wave Motion. Aug2023, Vol. 121, pN.PAG-N.PAG. 1p. |
| مصطلحات موضوعية: |
*ELASTIC wave propagation, *ELASTIC waves, *YOUNG'S modulus, *LAGRANGE multiplier, *FINITE element method, *ANALYTICAL solutions, *ASYNCHRONOUS learning |
| مستخلص: |
This is a presentation of robust and accurate explicit time-stepping strategy for finite element modeling of elastic discontinuous wave propagation in strongly heterogeneous, multi-material and graded one-dimensional media. One of the major issues in FEM modeling is the existence of spurious numerical stress oscillations close to theoretical wave fronts due to temporal-spatial dispersion behavior of FE discretization. The numerical strategy presented for modeling of 1D discontinuous elastic waves is based on (a) pushforward-pullback local stepping — ensuring the elimination of dispersion due to different critical time step sizes of finite elements, (b) domain decomposition via localized Lagrange multipliers — to satisfy coupling kinematics and dynamic equations , (c) asynchronous time scheme — ensuring the correct information transfer of quantities for the case of integer ratios of time step size for all domain pairs. Dispersion behaviors, existence of spurious stress oscillations, and sensitivity of the dispersion to time step size are then suppressed. The proposed method is numerically tested with regard to the rectangular step pulse elastic propagation problem considering in-space varying Young's modulus. To prove robustness and accuracy, a comparison with results from commercial software, an analytical solution, and experimental data from partial assembly of a split Hopkinson pressure bar (SHPB) setup is provided. • Explicit asynchronous time scheme with local push-forward stepping is suggested. • One-dimensional strong heterogeneous cases on irregular FE meshes are solved. • The method of Localized Lagrange multipliers for domain decomposition is used. • Proposed asynchronous integrator does not dissipate energy on the interfaces. • Nominated time strategy produces the results without spurious stress oscillations. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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