Abstract
The singular plane problems of nonlinear elasticity (plane strain and plane stress) are considered for bi-material infinite plate of a half-linear material. Using model of harmonic material has allowed to apply the theory of complex potentials and to obtain exact analytical global solutions of non-linear problems. Among them it is problem of bi-material plate with the stresses and strains jumps on the interface. As an application of the problem of jumps, the problem of concentrated force on an interface boundary of two half-planes and on a boundary of half-plane are solved. The asymptotic expansions of stresses and strains in a vicinity of the force application point are constructed.
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