Hypercomplex monogenic functions of the biharmonic variable in some problems of plane elasticity theory
DOI:
https://doi.org/10.15407/dopovidi2015.06.007Keywords:
biharmonic algebra, biharmonic equation, biharmonic function, biharmonic plane, Flamant problem for isotropic semiplane, Lamè equilibrium system in displacements, monogenic functionAbstract
Solutions of the Lamè equilibrium system of equations for displacements are obtained via components of the hypercomplex monogenic functions of the biharmonic variable. The description of all monogenic functions, for which one of the real components is a biharmonic function associated with a solution of the Flamant problem for an isotropic half-plane, is obtained.
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