TY - JOUR

T1 - Unsymmetrical Wrinkling of Nonuniform Annular Plates and Spherical Caps Under Internal Pressure

AU - Бауэр, Светлана Михайловна

AU - Воронкова, Ева Боруховна

PY - 2019

Y1 - 2019

N2 - Unsymmetrical buckling of inhomogeneous annular plates and spherical shallow shells subjected to internal pressure is studied. The effect of material heterogeneity, shallowness and ratio of inner to outer radii on the buckling load is examined. The unsymmetric part of the solution is sought in terms of multiples of the harmonics of the angular coordinate. A numerical method is employed to obtain the lowest load value, which leads to the appearance of waves in the circumferential direction. 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.

AB - Unsymmetrical buckling of inhomogeneous annular plates and spherical shallow shells subjected to internal pressure is studied. The effect of material heterogeneity, shallowness and ratio of inner to outer radii on the buckling load is examined. The unsymmetric part of the solution is sought in terms of multiples of the harmonics of the angular coordinate. A numerical method is employed to obtain the lowest load value, which leads to the appearance of waves in the circumferential direction. 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.

UR - http://www.scopus.com/inward/record.url?scp=85073165419&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-17747-8_6

DO - 10.1007/978-3-030-17747-8_6

M3 - Article

VL - 110

SP - 79

EP - 89

JO - Advanced Structured Materials

JF - Advanced Structured Materials

SN - 1869-8433

ER -