On the representation of three-dimensional elasticity solutions with the aid of complex valued functions. (English) Zbl 0687.73008
Summary: 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 solution is given.
MSC:
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 31B10 | Integral representations, integral operators, integral equations methods in higher dimensions |
| 31B05 | Harmonic, subharmonic, superharmonic functions in higher dimensions |
Keywords:
three-dimensional displacement fields; six complex valued functions; complex Muskhelishvili formulation for plane strain; completeness; regular solutions; Neuber/Papkovich solutionReferences:
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