Limiting equilibrium of plate with filled slit under tension and bending
Journal Title: Дослідження в математиці і механіці - Year 2017, Vol 22, Issue 2
Abstract
The problem of tension and bending of an elastic plate weakened by narrow rectilinear slit filled with low-modulus material is considered within framework the classical two-dimensional plates theory. For the inclusion of narrow width the hypothesis of elastic Winkler’s layer is accepted. The boundary problem for the pair of biharmonic equations with complicated boundary conditions on the cut is formulated. The analytical solution of singular integrodifferential equations of the problem is built for a case of elliptical form of slit and uniform combined load. Special attention is paid to the issue of limited equilibrium of composition. The two mechanisms of fracture are considered: cracking of the plate near the peak of a slit and breach of filler integrity. The diagrams of limiting equilibrium of plate with filled slit are built in conditions of two-parametric loading. The key parameters that determine the success of wearing the bearing capacity of the cracked plate for a given loading trajectory are the relative stiffness and relative strength of the filler.
Authors and Affiliations
I. P. Shatskyi, I. S. Kurtash
Keywords
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