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Stability of a transversally isotropic cylindrical shell under axial compression. / Tovstik, P. E.

In: Mechanics of Solids, Vol. 44, No. 4, 09.2009, p. 552-564.

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

Harvard

Tovstik, PE 2009, 'Stability of a transversally isotropic cylindrical shell under axial compression', Mechanics of Solids, vol. 44, no. 4, pp. 552-564. https://doi.org/10.3103/S0025654409040074

APA

Tovstik, P. E. (2009). Stability of a transversally isotropic cylindrical shell under axial compression. Mechanics of Solids, 44(4), 552-564. https://doi.org/10.3103/S0025654409040074

Vancouver

Tovstik PE. Stability of a transversally isotropic cylindrical shell under axial compression. Mechanics of Solids. 2009 Sep;44(4):552-564. https://doi.org/10.3103/S0025654409040074

Author

Tovstik, P. E. / Stability of a transversally isotropic cylindrical shell under axial compression. In: Mechanics of Solids. 2009 ; Vol. 44, No. 4. pp. 552-564.

BibTeX

@article{0fd7b91325344d328c220c2d2aebfe39,
title = "Stability of a transversally isotropic cylindrical shell under axial compression",
abstract = "We consider the stability of a thin transversally isotropic circular cylindrical shell under axial compression. We use a local approach according to which the buckling deflection is sought in the form of a doubly periodic function of curvilinear coordinates and the boundary conditions are ignored. We compare the solutions obtained according to the two-dimensional Kirchhoff-Love (KL) and Timoshenko-Reissner (TR) models with the solutions constructed according to the three-dimensional theory. Attention is mainly paid to the case of very small shear stiffness in the transverse direction.",
keywords = "Anisotropy, Elastic basement, Initial stresses, Plate, Stability, Surface vibrations and waves",
author = "Tovstik, {P. E.}",
year = "2009",
month = sep,
doi = "10.3103/S0025654409040074",
language = "English",
volume = "44",
pages = "552--564",
journal = "Mechanics of Solids",
issn = "0025-6544",
publisher = "Allerton Press, Inc.",
number = "4",

}

RIS

TY - JOUR

T1 - Stability of a transversally isotropic cylindrical shell under axial compression

AU - Tovstik, P. E.

PY - 2009/9

Y1 - 2009/9

N2 - We consider the stability of a thin transversally isotropic circular cylindrical shell under axial compression. We use a local approach according to which the buckling deflection is sought in the form of a doubly periodic function of curvilinear coordinates and the boundary conditions are ignored. We compare the solutions obtained according to the two-dimensional Kirchhoff-Love (KL) and Timoshenko-Reissner (TR) models with the solutions constructed according to the three-dimensional theory. Attention is mainly paid to the case of very small shear stiffness in the transverse direction.

AB - We consider the stability of a thin transversally isotropic circular cylindrical shell under axial compression. We use a local approach according to which the buckling deflection is sought in the form of a doubly periodic function of curvilinear coordinates and the boundary conditions are ignored. We compare the solutions obtained according to the two-dimensional Kirchhoff-Love (KL) and Timoshenko-Reissner (TR) models with the solutions constructed according to the three-dimensional theory. Attention is mainly paid to the case of very small shear stiffness in the transverse direction.

KW - Anisotropy

KW - Elastic basement

KW - Initial stresses

KW - Plate

KW - Stability

KW - Surface vibrations and waves

UR - http://www.scopus.com/inward/record.url?scp=76349088946&partnerID=8YFLogxK

U2 - 10.3103/S0025654409040074

DO - 10.3103/S0025654409040074

M3 - Article

AN - SCOPUS:76349088946

VL - 44

SP - 552

EP - 564

JO - Mechanics of Solids

JF - Mechanics of Solids

SN - 0025-6544

IS - 4

ER -

ID: 9283529