Investigation of load-bearing capacity of rigid-plastic reinforced ellipsoidal shells of rotation

Abstract

For ellipsoidal fiber-reinforced shells of rotation, the upper (kinematic) limit of load-bearing capacity is determined. The structures are clamped along the lower support contour and have rigid polar plate. The material of the components is rigid-plastic with asymmetry in tension and compression. The matrix is orthotropic. The principal axes of matrix anisotropy coincide with meridional, circumferential and transverse directions. Two-layer shell model and refined relations of structural model with two-dimensional stress state in components are used. Extreme problem is formulated and numerically solved for spherical and two different ellipsoidal shells. Influence of reinforcement parameters on limit load is investigated.

Keywords:

• Ellipsoidal shells of rotation
• fibrous reinforcement
• rigid-plastic model
• limit stress state
• load-bearing capacity
• limit load
• piecewise-linear yield conditions
• unequiresistant material

Additional information

Funding

This work was supported by Ministry of Science and Higher Education of the Russian Federation under Project No. 121030900260-6.