This article summarizes the shaping theory and cutting force research in the cutting process. Through the review of slip line field theory,cutter-chip stress strain,workpiece and tool-to-tool friction and cutting force. The current problems in the cutting process are discussed,and it is expected that future research should integrate more related discipline theories,combine multi-level and multi-factor fusion modeling based on multiple mechanical foundations,and form a sys-tematic,complete and widely applied theory. It provides researchers with the research progress of related theories,which is convenient for in-depth and more extensive research.