Question

If we reflect this solution through the $y$-axis passing through the rightmost point of the constant state labelled $C$, we obtain a solution for a body containing two cracks lying on the $x$-axis with crack tips equidistant from the $y$-axis and with the slip-line fields meeting at the origin. Assuming the rigidly deforming parts of the body in the region of positive (resp., negative) $y$ to move vertically with velocity $V$ (resp., $-V$ ), use the Geiringer equations (7.90) to show that a tangential velocity discontinuity occurs on the curves separating the rigid and plastic portions of the body.

   If we reflect this solution through the $y$-axis passing through the rightmost point of the constant state labelled $C$, we obtain a solution for a body containing two cracks lying on the $x$-axis with crack tips equidistant from the $y$-axis and with the slip-line fields meeting at the origin. Assuming the rigidly deforming parts of the body in the region of positive (resp., negative) $y$ to move vertically with velocity $V$ (resp., $-V$ ), use the Geiringer equations (7.90) to show that a tangential velocity discontinuity occurs on the curves separating the rigid and plastic portions of the body.
 
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A Course on Plasticity Theory
A Course on Plasticity Theory
David J. Steigmann 1st Edition
Chapter 7, Problem 14 ↓

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We have a body with two cracks lying on the \(x\)-axis, with crack tips equidistant from the \(y\)-axis. The slip-line fields meet at the origin. The body is divided into regions of positive and negative \(y\), with rigidly deforming parts moving vertically with  Show more…

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If we reflect this solution through the $y$-axis passing through the rightmost point of the constant state labelled $C$, we obtain a solution for a body containing two cracks lying on the $x$-axis with crack tips equidistant from the $y$-axis and with the slip-line fields meeting at the origin. Assuming the rigidly deforming parts of the body in the region of positive (resp., negative) $y$ to move vertically with velocity $V$ (resp., $-V$ ), use the Geiringer equations (7.90) to show that a tangential velocity discontinuity occurs on the curves separating the rigid and plastic portions of the body.
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