The Crack occurs in the structural bodies and labotest type specimen for the working loads. The types of its crack modes is clarified to pure basic modes and mixed modes crack as shown to the standard three types. The Mode I type crack initiate and propagate in the uniaxial tensile stress, the other hands, the mixed mode cracks with combining the basic mode cracks initiate and propagate in the multiaxial stress. Although the mixed mode cracks are the Mode II and/or Modeffitype with Mode I type crack, it is usually called that Mode I + Mode II or Mode I + ModelItype crack. That's fact and results have been reported as the specialized studies results and conclusions. In this technical report paper, the author confirmed specialized ordinary researches under the simply evaluation and judging with the consideration and reviews for the previous study's results and successes for the papers in the Univesity, Graduate School and Companies.