Plastic Analysis of Anisotropic Disks and Plates

by Archibald N. Sherbourne, Prof. of Civ. Engrg., and Dean of Engrg.; Univ. of Waterloo, Waterloo, Ontario, Canada,
Sridhara D. N. Murthy, Res. Student; Dept. of Civ. Engrg., Univ. of Waterloo, Waterloo, Ontario, Canada,

Serial Information: Journal of the Engineering Mechanics Division, 1972, Vol. 98, Issue 1, Pg. 11-26

Document Type: Journal Paper


The method of limit analysis is used to estimate the collapse loads of rotating disks and laterally loaded circular plates. The material is transversely anisotropic and is assumed to obey either the Tresca or von Mises yield criterion. Analyses indicate that the effect of transverse anisotropy on the collapse loads depends upon the case under consideration. While transverse anisotropy substantially increases the collapse load in the case of solid disks and circular plates under lateral pressure, it has no effect on the collapse load of a circular plate under shear loading. The collapse loads in the case of annular disks and annular plates under lateral pressure may increase or remain constant after an initial increase with respect to transverse anisotropy. This effect depends on the assumed yield criterion. Some similarities in the analysis of the disk and the circular plate exist. Typical results of the analyses are presented.

Subject Headings: Failure loads | Lateral loads | Plastic analysis | Transverse loads | Lateral pressure | Anisotropy | Plates | Structural failures

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