Investigation of the stress-strain state of the laminated shallow shells by R-functions method combined with spline-approximation

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dc.contributor.authorAwrejcewicz, Janpl
dc.contributor.authorKurpa, Lidiyaen
dc.contributor.authorOsetrov, Andreyen
dc.date.accessioned2018-07-25T10:54:41Z
dc.date.available2018-07-25T10:54:41Z
dc.date.issued2011
dc.description.abstractThe bending behavior of the laminated shallow shells under static loading has been studied using the R functions theory together with the spline-approximation. Formulation is based on the first order shear deformation theory. Due to usage of the R-functions theory the laminated shallow shells with complex shape and different types of the boundary conditions can be investigated. Application of the spline-approximation allows getting reliable and validated results for non concave domains and domains with holes. The proposed method is implemented in the appropriate software in framework of the mathematical package MAPLE. The analysis of influence of certain factors (curvature, packing of layers, geometrical parameters, boundary conditions) on a stress-strain state is carried out for shallow shells with cut-outs. The comparison of obtained results with those already known from literature and results obtained by using ANSYS are also presented.en
dc.identifier.citationAwrejcewicz J. Investigation of the stress-strain state of the laminated shallow shells by R-functions method combined with spline-approximation / J. Awrejcewicz, L. Kurpa, A. Osetrov // Zeitschrift für Angewandte Mathematik und Mechanik = Journal of Applied Mathematics and Mechanics. – 2011. – Vol. 91, iss. 6. – P. 458-467.en
dc.identifier.doi10.1002/zamm.201000164
dc.identifier.urihttps://repository.kpi.kharkov.ua/handle/KhPI-Press/37116
dc.language.isoen
dc.publisherWILEY-VCH Verlag GmbH & Co. KGaA, Weinheimen
dc.subjectlaminated shallow shellsen
dc.subjectstress-strain stateen
dc.subjectR-functions methoden
dc.subjectspline-approximationen
dc.subjectfinite elements methoden
dc.titleInvestigation of the stress-strain state of the laminated shallow shells by R-functions method combined with spline-approximationen
dc.typeArticleen

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