PDC bits are widely used in oil and gas drilling， and geological exploration drilling. However， vibrations and abnormal wear of the bits resulting from them compromise the technical and economic effectiveness of the advanced drilling method. The wedge and conic form PDC cutters proposed by both Chinese and foreign specialists have been somehow effective in preventing the vibrations and abnormal wear of drill bits， and increasing the technical and economic indexes； but they can not eliminate the problem completely. Russian scientists have proposed a new type concave PDC cutter， performed computer simulation， and presented related parameters （concave cone angle and rake angle） through theoretical calculation and analytical comparison. The concave PDC cutter can provide some reference for solving the vibrations of PDC bits； thus， it is noteworthy for us to pay attention to.