000009136 001__ 9136
000009136 005__ 20141204092411.0
000009136 04107 $$aeng
000009136 046__ $$k12/05/2014
000009136 100__ $$aKolman, R.
000009136 24500 $$aB-spline finite element method in one-dimensional elastic wave propagation problems

000009136 24630 $$n18.$$pEngineering Mechanics 2012
000009136 260__ $$bInstitute of Theoretical and Applied Mechanics, AS CR, Prague
000009136 506__ $$arestricted
000009136 520__ $$2eng$$aIn this paper, the spline variant of finite element method (FEM) is tested in one-dimensional elastic wave propagation problems. The special attention is paid to propagation of stress discontinuities as an outcome of the shock loading and also to spurious oscillations occurring near theoretical wavefronts. Spline variant of FEM is a modern strategy for numerical solution of partial differential equations. This method is based on spline basic functions as shape, testing functions in FEM content. For examples, B-splines, T-splines, NURBS and more others could be applied. For one-dimensional problems, B-spline representation is sufficient. B-spline basis functions are piecewise polynomial functions. It was shown, that B-spline shape functions produce outstanding convergence and dispersion properties and also appropriate frequency errors in elastodynamics problems. In this initial work, accuracy, convergence and stability of the B-spline based FEM are studied in numerical modelling of one-dimensional elastic wave propagation of stress discontinuities. For the time integration, the Newmark method, the central difference method and the generalized-α method are employed.

000009136 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000009136 653__ $$aelastic wave propagation, B-spline based finite element method, spurious oscillations

000009136 7112_ $$aEngineering Mechanics 2012$$cSvratka (CZ)$$d12/05/2014 - 15/05/2014$$gEM2012
000009136 720__ $$aKolman, R.$$iPlešek, J.$$iOkrouhlík, M.
000009136 8560_ $$ffischerc@itam.cas.cz
000009136 8564_ $$s361841$$uhttps://invenio.itam.cas.cz/record/9136/files/024_Kolman_R-FT.pdf$$yOriginal version of the author's contribution as presented on CD, paper (No. 024).
000009136 962__ $$r8924
000009136 980__ $$aPAPER