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Journal of Applied Mechanics and Technical Physics

2013 year, number 3

Stress Distribution Instability in the Plane Problem of the Theory of Elasticity of Heterogeneous Bodies

M. N. Kirsanov
Keywords: instability, plane problem of the elasticity theory, inhomogeneous medium


A possibility of degeneration of relationships between stresses and their derivatives with respect to the coordinates in the plane problem of the elasticity theory is considered. For particular dependences of the parameters of elasticity on coordinates, curves are given, for which degeneration conditions are satisfied. It is shown that even a small inhomogeneity of the medium causes stress instability.