Question

The critical resolved shear stress of iron is about 50 MPa. It is very ductile due to its 24 slip systems. When its polycrystalline sample is subjected to uniaxial tension, it has thousands of crystal grains with slip planes oriented at 45° relative to the loading force. Estimate the yield strength of the material obtained from the tensile test.

Answer 1

To estimate the yield strength of the material obtained from the tensile test, we need to consider the critical resolved shear stress and the slip systems of iron. However, without specific values for the applied stress and the dimensions of the sample, we cannot provide a precise estimation.

Step-by-step explanation:

To estimate the yield strength of the material obtained from the tensile test, we need to consider the critical resolved shear stress and the slip systems of iron. The critical resolved shear stress (CRSS) of iron is about 50 MPa, which means that the material will start to yield when the applied shear stress reaches this value.

Iron has 24 slip systems, which are planes along which the crystal lattice can easily shear. In this case, the slip planes are oriented at 45° relative to the loading force. This means that the resolved shear stress on these planes will be lower than the applied stress, leading to increased ductility.

Since the yield strength is the stress at which plastic deformation begins, we can estimate the yield strength of the material by considering the applied stress and the orientation of the slip planes. However, without specific values for the applied stress and the dimensions of the sample, we cannot provide a precise estimation.