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Explanation: I think stress curve would work for Spannungskurve. I don't know about Verstreckungskurve but maybe stretching curve.
Residual stresses are mechanical stress in the injection moulded part without external load exerted to the part. They are due to the differences in the cooling of the part and orientation of the polymer chains. In the picture is typical stresses in different wall layers. The stress curve is parabolic and as can be concluded the greatest stresses are in the surface of the moulded part. The stress inside the part is tensile stress and in the layer it is compression stress.