Abstract
Classical theories of the strength of materials start from concepts of the existence and uniqueness of fracture surfaces in the space of indpendent loading parameters: on approaching a certain point of this surface from within along any arbitrary loading path, the instant of fracture is fixed by the very same combination of loading parameters. Such are all the strength criteria appied in the strength of materials (in stress space), for instance, Galileo, Poncelet, Coulomb, Tresca, Saint-Venant, Noore, Mises, etc. /1–16/. This concept turned out to be valid even from the viewpoint of fracture mechanics in the case of active loading paths /17/.
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