If a material has been subjected to prior deformation ( at low temperature ) then the yield stress will be increased by a factor depending on the amount of prior plastic strain " ? 0 ":
12.
The latter generally increases with temperature, and materials where m reaches a value greater than ~ 0.5 tend to exhibit super plastic behavior . m can be found from a log-log plot of yield strength at a fixed plastic strain versus the strain rate.
13.
The magnitude of the plastic strain decreases with distance from the surface as the peak pressure of the shock wave attenuates, i . e ., decreases, and becomes zero when the peak pressure falls below the HEL . After the shock wave passes, the residual plastic strain creates a compressive residual stress gradient below the target surface, highest at or immediately below the surface and decreasing with depth.
14.
The magnitude of the plastic strain decreases with distance from the surface as the peak pressure of the shock wave attenuates, i . e ., decreases, and becomes zero when the peak pressure falls below the HEL . After the shock wave passes, the residual plastic strain creates a compressive residual stress gradient below the target surface, highest at or immediately below the surface and decreasing with depth.
15.
Where \ alpha is a parameter, c _ \ mathrm { y } is the value of c when the plastic strain is zero ( also called the "'initial cohesion yield stress "'), \ psi is the angle made by the yield surface in the "'Rendulic plane "'at high values of p ( this angle is also called the "'dilation angle "'), and G ( \ phi, \ theta ) is an appropriate function that is also smooth in the deviatoric stress plane.
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