Abstract
In this paper the representation of three-dimensional displacement fields in linear elasticity in terms of six complex valued functions is considered. The representation includes the complex Muskhelishvili formulation for plane strain as a special case. The completeness of the complex representation for regular solutions is shown and a relationship to the Neuber/Papkovich solutions is given.
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R. Piltner: The representation of three-dimensional elastic displacement fields with the aid of complex valued functions for several curvilinear coordinates. Mechanics Research Communications 15 (2) (1988) 79–85.
R. Piltner: The application of a comples 3-dimensional elasticity solution representation for the analysis of a thick rectangular plate. Acta Mechanica 75 (1988) 77–91.
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Piltner, R. On the representation of three-dimensional elasticity solutions with the aid of complex valued functions. J Elasticity 22, 45–55 (1989). https://doi.org/10.1007/BF00055333
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DOI: https://doi.org/10.1007/BF00055333