Optimization of forming processes in microstructure sensitive design

Optimization of the forming processes from initial microstructures of raw materials to desired microstructures of final products is an important topic in materials design. Processing path model proposed in this study gives an explicit mathematical solution about how the microstructure evolves during thermomechanical processing. Based on a conservation principle in the orientation space (originally proposed by Bunge), this methodology is independent of the underlying deformation mechanisms. The evolutions of texture coefficients are modeled using a texture evolution matrix calculated from the experimental results. For the same material using the same processing method, the texture evolution matrix is the same. It does not change with the initial texture. This processing path model provides functions of processing paths and streamlines.