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On the effective solution of the first boundary value problem of statics of the theory of elastic mixture in a circular ring. (English) Zbl 1415.74012

Summary: The paper deals with the construction of explicit solution of the first boundary value problem (when on the boundary is given a displacement vector) of the homogeneous equation of statics of the elastic mixture in the case of a circular ring. The solution is represented by absolutely and uniformly convergent series.

MSC:

74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
35Q74 PDEs in connection with mechanics of deformable solids
74E35 Random structure in solid mechanics
74E20 Granularity