On the effect of stamp vibration on the possibility of stress localization in the contact zone

The problem of the possibility of stress localization under the stamp in the contact problem is considered, both in the case of absolutely solid and deformable stamps. The research is based on the theory of vibration resistance viruses, which allows us to explore the possibility of localization of stress-strain processes in certain zones. The theory of vibration resistance viruses and natural viruses developed earlier is used to study the possibility of hidden destruction of complex structures. The latter may occur if the conditions for localization of dynamic or static processes produced by these causes are met in the junction area of fragments of deformable structures. Using the example of the interaction of a sufficiently rigid body, called a stamp, and a less rigid body, a layered medium, including an anisotropic one, in contact with each other, the conditions for localization of the process in the area where the stamp meets the layer are found. For this, certain transformations of the integral equation and the corresponding contact problem are performed, allowing the localization process established earlier to be applied. These conditions are formulated in terms of parameters describing the stress-strain state. The paper provides conditions that make it possible to formulate and manage the degree of localization.