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

Kolman, Radek; Okrouhlík, Miloslav; Berezovski, A.; Gabriel, Dušan; Kopačka, Ján; Plešek, Jiří

doi:https://dx.doi.org/10.1016/j.apm.2017.01.077

Počet záznamů: 1

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

1.

SYSNO ASEP	0473856
Druh ASEP	J - Článek v odborném periodiku
Zařazení RIV	J - Článek v odborném periodiku
Poddruh J	Článek ve WOS
Název	B-spline based finite element method in one-dimensional discontinuous elastic wave propagation
Tvůrce(i)	Kolman, Radek (UT-L)_RID Okrouhlík, Miloslav (UT-L)_RID Berezovski, A. (EE) Gabriel, Dušan (UT-L)_{RID, ORCID} Kopačka, Ján (UT-L)_{RID, ORCID} Plešek, Jiří (UT-L)_{RID, ORCID, SAI}
Celkový počet autorů	6
Zdroj.dok.	Applied Mathematical Modelling. - : Elsevier - ISSN 0307-904X Roč. 46, June (2017), s. 382-395
Poč.str.	14 s.
Forma vydání	Tištěná - P
Jazyk dok.	eng - angličtina
Země vyd.	US - Spojené státy americké
Klíč. slova	discontinuous elastic wave propagation ; B-spline finite element method ; isogeometric analysis ; implicit and explicit time integration ; dispersion ; spurious oscillations
Vědní obor RIV	BI - Akustika a kmity
Obor OECD	Acoustics
CEP	GAP101/12/2315 GA ČR - Grantová agentura ČR
	EF15_003/0000493 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy
Institucionální podpora	UT-L - RVO:61388998
UT WOS	000403742000024
EID SCOPUS	85020014330
DOI	10.1016/j.apm.2017.01.077
Anotace	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.
Pracoviště	Ústav termomechaniky
Kontakt	Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823
Rok sběru	2018

Počet záznamů: 1