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 |