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Effect of Loading on Slipping of Crystal Planes

We know when a metal is subjected to proper loading, there exists plastic strain. A great part of plastic strain is developed from the slipping of the crystal planes of that metal in microstructure level. Now, when the load is uniaxial, it is simple to calculate the amount of shear strain acts on that plane. But, when the load is not uniaxial, the life is harder. It is very hard to calculate which slip plane feels how much shear strain. It is reuired to know about this shear stress as it plays an important role in the activation of the slipping system and thus determines the plastic strain occurs due to slipping. I will be very glad if someone can help me with the procedure to calculate those shear strain acting on the different slip plane in case of a non-uniaxial stress.

 

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