Equations of equilibrium for a strongly heterogeneous shallow shell

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Equations of equilibrium for a strongly heterogeneous shallow shell. / Tovstik, P. E.; Tovstik, Tatiana Petrovna.

In: Doklady Physics, Vol. 62, No. 11, 01.11.2017, p. 522-526.

Research output: Contribution to journal › Article › peer-review

Author

Tovstik, P. E. ; Tovstik, Tatiana Petrovna. / Equations of equilibrium for a strongly heterogeneous shallow shell. In: Doklady Physics. 2017 ; Vol. 62, No. 11. pp. 522-526.

BibTeX

@article{6529a56ea1ab46fcaa2ebbe3bd9e8f83,

title = "Equations of equilibrium for a strongly heterogeneous shallow shell",

abstract = "A linear set of equations is proposed for a strongly thickness-heterogeneous (in particular, multilayer) shallow shell. The model unifies the equations of the Mushtary−Donnell−Vlasov technical-theory and the Timoshenko−Reissner equations, which take into account transverse shear. The thickness-heterogeneous shell is replaced with an equivalent homogeneous transversally isotropic shell, the elasticity modula of which are chosen just as the previously determined elasticity modula for heterogeneous plates. In the test example for a multilayered cylindrical shell, the approximate solution according to the proposed model is compared with the exact solution of the three-dimensional problem. The model gives good results in accuracy for a reasonably wide level of inhomogeneity.",

author = "Tovstik, {P. E.} and Tovstik, {Tatiana Petrovna}",

year = "2017",

month = nov,

day = "1",

doi = "10.1134/S1028335817110088",

language = "English",

volume = "62",

pages = "522--526",

journal = "Doklady Physics",

issn = "1028-3358",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "11",

}

RIS

TY - JOUR

T1 - Equations of equilibrium for a strongly heterogeneous shallow shell

AU - Tovstik, P. E.

AU - Tovstik, Tatiana Petrovna

PY - 2017/11/1

Y1 - 2017/11/1

N2 - A linear set of equations is proposed for a strongly thickness-heterogeneous (in particular, multilayer) shallow shell. The model unifies the equations of the Mushtary−Donnell−Vlasov technical-theory and the Timoshenko−Reissner equations, which take into account transverse shear. The thickness-heterogeneous shell is replaced with an equivalent homogeneous transversally isotropic shell, the elasticity modula of which are chosen just as the previously determined elasticity modula for heterogeneous plates. In the test example for a multilayered cylindrical shell, the approximate solution according to the proposed model is compared with the exact solution of the three-dimensional problem. The model gives good results in accuracy for a reasonably wide level of inhomogeneity.

AB - A linear set of equations is proposed for a strongly thickness-heterogeneous (in particular, multilayer) shallow shell. The model unifies the equations of the Mushtary−Donnell−Vlasov technical-theory and the Timoshenko−Reissner equations, which take into account transverse shear. The thickness-heterogeneous shell is replaced with an equivalent homogeneous transversally isotropic shell, the elasticity modula of which are chosen just as the previously determined elasticity modula for heterogeneous plates. In the test example for a multilayered cylindrical shell, the approximate solution according to the proposed model is compared with the exact solution of the three-dimensional problem. The model gives good results in accuracy for a reasonably wide level of inhomogeneity.

UR - http://www.scopus.com/inward/record.url?scp=85037164466&partnerID=8YFLogxK

U2 - 10.1134/S1028335817110088

DO - 10.1134/S1028335817110088

M3 - Article

AN - SCOPUS:85037164466

VL - 62

SP - 522

EP - 526

JO - Doklady Physics

JF - Doklady Physics

SN - 1028-3358

IS - 11

ER -

ID: 15547062