B-spline based finite element method in one-dimensional discontinuous elastic wave propagation

0473856 - ÚT 2018 RIV US eng J - Journal Article
Kolman, Radek - Okrouhlík, Miloslav - Berezovski, A. - Gabriel, Dušan - Kopačka, Ján - Plešek, Jiří
B-spline based finite element method in one-dimensional discontinuous elastic wave propagation.
Applied Mathematical Modelling. Roč. 46, June (2017), s. 382-395. ISSN 0307-904X. E-ISSN 1872-8480
R&D Projects: GA ČR(CZ) GAP101/12/2315; GA MŠMT(CZ) EF15_003/0000493
Grant - others:AV ČR(CZ) DAAD-16-12; AV ČR(CZ) ETA-15-03
Program: Bilaterální spolupráce; Bilaterální spolupráce
Institutional support: RVO:61388998
Keywords : discontinuous elastic wave propagation * B-spline finite element method * isogeometric analysis * implicit and explicit time integration * dispersion * spurious oscillations
OECD category: Acoustics
Impact factor: 2.617, year: 2017
http://www.sciencedirect.com/science/article/pii/S0307904X17300835

The B-spline variant of the finite element method (FEM) is tested in one-dimensional discontinuous elastic wave propagation. The B-spline based FEM (called Isogeometric analysis IGA) uses spline functions as testing and shape functions in the Galerkin continuous content. Here, the accuracy of stress distribution and spurious oscillations of the B-spline based FEM are studied in numerical modeling of one-dimensional propagation of stress discontinuities in a bar, where the analytical solution is known. For time integration, the Newmark method, implicit form of the generalized-α method, the central difference method and the predictor/multi-corrector method are tested and compared. The use of lumped and consistent mass matrices in explicit time integration is discussed. Due to accuracy, the consistent mass matrix is preferred in explicit time integration in IGA.
Permanent Link: http://hdl.handle.net/11104/0272861