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Asymmetric Buckling of Circular and Annular Plates under Normal Pressure. / Бауэр, Светлана Михайловна; Семенов, Борис Николаевич; Воронкова, Ева Боруховна; Дорофеев, Никита Павлович.

Current Developments in Solid Mechanics and Their Applications. Springer Nature, 2025. стр. 57-68 (Advanced Structured Materials; Том 223).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференцииРецензирование

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@inproceedings{119026d76ac14b4d84cdcee6018d2a12,
title = "Asymmetric Buckling of Circular and Annular Plates under Normal Pressure",
abstract = "Bifurcation of axisymmetric equilibrium states of inhomogeneous annular and circular plates subjected to internal pressure is studied. The effect of material heterogeneity and ratio of inner to outer radii on the buckling load is examined. Finite element and analytical approaches are discussed. It is shown that if the elasticity modulus decreases away from the center of a plate, the critical pressure for unsymmetric buckling is sufficiently lower than for a plate with constant mechanical properties. For solid plates—whether homogeneous or non-uniform and weakened toward the edge—the results obtained by both methods are close to each other. The calculations of the critical load for annular plates, conducted using the ANSYS finite element package and shell elements, show qualitative agreement with the analytical solutions of the problem.",
author = "Бауэр, {Светлана Михайловна} and Семенов, {Борис Николаевич} and Воронкова, {Ева Боруховна} and Дорофеев, {Никита Павлович}",
year = "2025",
doi = "10.1007/978-3-031-90022-8_4",
language = "English",
series = "Advanced Structured Materials",
publisher = "Springer Nature",
pages = "57--68",
booktitle = "Current Developments in Solid Mechanics and Their Applications",
address = "Germany",

}

RIS

TY - GEN

T1 - Asymmetric Buckling of Circular and Annular Plates under Normal Pressure

AU - Бауэр, Светлана Михайловна

AU - Семенов, Борис Николаевич

AU - Воронкова, Ева Боруховна

AU - Дорофеев, Никита Павлович

PY - 2025

Y1 - 2025

N2 - Bifurcation of axisymmetric equilibrium states of inhomogeneous annular and circular plates subjected to internal pressure is studied. The effect of material heterogeneity and ratio of inner to outer radii on the buckling load is examined. Finite element and analytical approaches are discussed. It is shown that if the elasticity modulus decreases away from the center of a plate, the critical pressure for unsymmetric buckling is sufficiently lower than for a plate with constant mechanical properties. For solid plates—whether homogeneous or non-uniform and weakened toward the edge—the results obtained by both methods are close to each other. The calculations of the critical load for annular plates, conducted using the ANSYS finite element package and shell elements, show qualitative agreement with the analytical solutions of the problem.

AB - Bifurcation of axisymmetric equilibrium states of inhomogeneous annular and circular plates subjected to internal pressure is studied. The effect of material heterogeneity and ratio of inner to outer radii on the buckling load is examined. Finite element and analytical approaches are discussed. It is shown that if the elasticity modulus decreases away from the center of a plate, the critical pressure for unsymmetric buckling is sufficiently lower than for a plate with constant mechanical properties. For solid plates—whether homogeneous or non-uniform and weakened toward the edge—the results obtained by both methods are close to each other. The calculations of the critical load for annular plates, conducted using the ANSYS finite element package and shell elements, show qualitative agreement with the analytical solutions of the problem.

UR - https://www.mendeley.com/catalogue/a4dcad40-d4c4-318c-8414-321dce1c7003/

U2 - 10.1007/978-3-031-90022-8_4

DO - 10.1007/978-3-031-90022-8_4

M3 - Conference contribution

T3 - Advanced Structured Materials

SP - 57

EP - 68

BT - Current Developments in Solid Mechanics and Their Applications

PB - Springer Nature

ER -

ID: 136536498