Research output: Contribution to journal › Article › peer-review
On the forms of local buckling of thin elastic shells. / Tovstik, P. E.
In: Transactions of the Canadian Society for Mechanical Engineering, Vol. 15, No. 3, 1991, p. 199-211.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - On the forms of local buckling of thin elastic shells
AU - Tovstik, P. E.
PY - 1991
Y1 - 1991
N2 - The stability of the membranous initial stress-strain state of equilibrium of thin elastic shells is studied. Using the two-dimensional theory of the Kirchhof-Love type, the linear problem of equilibrium bifurcation is considered. Buckling forms, localized near some lines or points on the middle surface of shell, called the weakest lines or points are studied. The asymptotic integration methods for equations with a parameter developed by A.L. Goldenveiser and V.P. Maslov are used. Approximate formulas for critical loads buckling forms which decrease with the deviation from the weakest line or point are found.
AB - The stability of the membranous initial stress-strain state of equilibrium of thin elastic shells is studied. Using the two-dimensional theory of the Kirchhof-Love type, the linear problem of equilibrium bifurcation is considered. Buckling forms, localized near some lines or points on the middle surface of shell, called the weakest lines or points are studied. The asymptotic integration methods for equations with a parameter developed by A.L. Goldenveiser and V.P. Maslov are used. Approximate formulas for critical loads buckling forms which decrease with the deviation from the weakest line or point are found.
UR - http://www.scopus.com/inward/record.url?scp=0026368657&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0026368657
VL - 15
SP - 199
EP - 211
JO - Transactions of the Canadian Society for Mechanical Engineering
JF - Transactions of the Canadian Society for Mechanical Engineering
SN - 0315-8977
IS - 3
ER -
ID: 9284769