Component-wise partitioned finite element method in linear wave propagation problems: benchmark tests

0436467 - ÚT 2015 RIV CZ eng C - Conference Paper (international conference)
Kolman, Radek - Cho, S.S. - Červ, Jan - Park, K.C.
Component-wise partitioned finite element method in linear wave propagation problems: benchmark tests.
DYMAMESI 2014 : Dynamics of machines and mechanical systems with interactions. Praha: Institute of Thermomechanics AS CR, 2014 - (Zolotarev, I.; Pešek, L.), s. 31-36. ISBN 978-80-87012-54-3.
[DYMAMESI 2014. Praha (CZ), 25.11.2014-26.11.2014]
R&D Projects: GA ČR(CZ) GAP101/11/0288
Institutional support: RVO:61388998
Keywords : stress wave propagation * finite element method * explicit time integrator * spurious oscillations * stress discontinuities
Subject RIV: JR - Other Machinery

A novel explicit time scheme for nite element computations of wave propagation problems in solids is presented. The presented algorithm, with the component-wise partition of equations of motion to the longitudinal and shear parts, is designed to more precisely integrate wave propagation in accordance with their dierent propagation wave speeds. The suggested three-time step integrator is fully explicit with the diagonal mass matrix, of second-order accuracy, conditionally stable and it exhibits minimal sensitivity behavior on time step size satisfying the stability limit. We present two numerical tests of wave propagation phenomena to show accuracy and performance of the proposed method.
Permanent Link: http://hdl.handle.net/11104/0242424