HW7 - EN222: Mechanics of Solids Homework 7: Plastic limit...

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EN222: Mechanics of Solids Homework 7: Plastic limit theorem, thin films Due Thursday April 13, 2006 x 1 x 2 x 3 P P Division of Engineering Brown University 1. The figure shows a rigid plastic bar with square cross section w x w and yield stress Y , which is subjected to a distribution of traction on both ends. Assume that the velocity field at collapse is 33 vh x v == 11 2 2 /2 x h v x h − = ±± ± Use the upper bound theorem to calculate the force P that will cause the bar to collapse. 2. The figure shows a possible collapse mechanism for a rigid flat indenter that is pushed into a rigid-perfectly plastic solid under combined normal and tangential loads
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