Determining the Stress-Strain State of Elastic-Plastic Solids with a Lateral Crack-Like Defect with the Use of a Model with a Linear Size
V. V. Glagolev, L. V. Glagolev, A. A. Markin
Tula State University, Tula, 300600, Russia
Keywords: трещина, упругопластические деформации, характерный размер, метод конечных элементов, crack, elastic-plastic deformations, characteristic size, finite element method
Abstract
A model of a physical section that describes stress-strain states in elastic-plastic solids weakened by cracks is proposed. The problem of plane deformation and the stress state of a solid of an infinite size of an arbitrary geometry, weakened by a physical section, is solved. It comes down to a system of two variational equations with respect to displacement fields in the parts of the solid bordering the interaction layer. For a material whose properties are close to those of a D16T alloy, the linear parameter introduced into the crack model is estimated, and the critical conditions of solids with lateral cracks in the case of a normal detachment are determined.
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