Incipient plane-strain failure of a rectangular block under gravity

✍ Scribed by J.A. Chamberlain; J.E. Sader; K.A. Landman; L.R. White

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 437 KB
• Volume: 43
• Category: Article
• ISSN: 0020-7403
• DOI: 10.1016/s0020-7403(00)00029-1

✦ Synopsis

We consider the problem of the incipient plastic failure of a two-dimensional rectangular block of yield stress material under plane strain conditions and gravitational loading. The block is assumed to behave as a perfectly rigid-plastic material obeying the Tresca yield condition. There is no traction on the vertical sides and horizontal top, and the traction at the base is determined via a modifed Coulomb-type friction. We use slip-line "eld theory to calculate the stress "eld. Our analysis establishes the dimensions of the block which give incipient failure and also suggests a way of determining the yield stress. Furthermore, we show that the precise value of the coe$cient of friction on the base can be unimportant in certain situations.