On the features of a new type of cracks in applications
UDC
539.3DOI:
https://doi.org/10.31429/vestnik-16-3-28-32Abstract
Griffiths-Irwin cracks are formed as a result of smooth continuous deformation of laterally compressible, before turning into a cavity, holes in the form of an ellipse or circle, located in an unlimited plate. The resulting cavities have a smooth boundary, and the angle at the vertices of the crack is 180 degrees. The peculiarity of the new type of cracks is the same model of cavity formation, with the difference that instead of an ellipse a rectangle is accepted. In the limit, a crack with a piecewise smooth boundary is obtained, with an angle at the vertex equal to zero. For this type of cracks, a different set of equations is formed, depending on the convenience of research. In the framework of the linear theory of elasticity, after loading bodies with cracks, it is allowed to drift the boundary conditions to the boundaries that occupied the position before deformation. This is used in equations. In the case of a piecewise smooth boundary, stress concentrations can occur at the fracture points of a new type of fracture, which can cause unlimited stresses and displacements if they remain within the framework of linear elasticity. In reality, in these zones of the material, either the destruction of the medium occurs, or its transition to another properties, plastic, creep, visco-elastic, nonlinear, leading to finite stresses and strains. Line up equations describing the behavior of cracks of a new type for the case of a semi-infinite crack.
Keywords:
block element, topology, exterior forms, block structures, boundary problems, cracks, subduction, tsunami, landslidesAcknowledgement
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Copyright (c) 2019 Babeshko O.M., Evdokimova O.V., Babeshko V.A., Lozovoy V.V., Pluzhnik A.V., Uafa S.B.
This work is licensed under a Creative Commons Attribution 4.0 International License.
