Elastic-plastic analysis of centrally clamped annular plates under uniform loads

✍ Scribed by Francis W. French

• Publisher: Elsevier Science
• Year: 1964
• Tongue: English
• Weight: 810 KB
• Volume: 277
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(64)90376-x

✦ Synopsis

The elastic-plastic behavior of centrally clamped annular plates under uniform pressure load is investigated within the scope of small deflection bending theory of plates. An elastic-perfectly plastic relation between bending moment and curvature is assumed, together with the Tresca yield condition and associated flow law. Nondimensional equations are developed for the deformations and stress distribution up to collapse. Numerical examples illustrate the development and progress of elastic and plastic regions within the plate, and the change in deflected shape with load. Francis W. French g o" ratio of inner to outer radii interface coordinates in Regime IV interface coordinate in Regime III nondimensional curvature Poisson's ratio normal stress circumferential coordinate Superscripts and Subscripts ( )I, ( )H, ( )m, ( )Iv conditions during Regimes I, II, III, IV, respectively d (), dr d 2 (). dr ~ d (') d-t (), radial ( )~ circumferential Annular Plates Under Uniform Loads