On the Representation of Three-Dimensional Elasticity Solutions with the Aid of Complex Valued Functions

Reinhard Piltner

doi:10.1007/BF00055333

On the Representation of Three-Dimensional Elasticity Solutions with the Aid of Complex Valued Functions

Reinhard Piltner

Mathematical Sciences

Ruhr University Bochum

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

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.

Original language	American English
Journal	Journal of Elasticity
Volume	22
DOIs	https://doi.org/10.1007/BF00055333
State	Published - Aug 1989

Keywords

Complex Representation
Displacement Field
Linear Elasticity
Plane Strain
Regular Solution

DC Disciplines

Mathematics

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10.1007/BF00055333License: Unspecified

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title = "On the Representation of Three-Dimensional Elasticity Solutions with the Aid of Complex Valued Functions",

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. ",

keywords = "Complex Representation, Displacement Field, Linear Elasticity, Plane Strain, Regular Solution",

author = "Reinhard Piltner",

note = "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...",

year = "1989",

month = aug,

doi = "10.1007/BF00055333",

language = "American English",

volume = "22",

journal = "Journal of Elasticity",

issn = "0374-3535",

publisher = "Springer Netherlands",

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T1 - On the Representation of Three-Dimensional Elasticity Solutions with the Aid of Complex Valued Functions

AU - Piltner, Reinhard

N1 - 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...

PY - 1989/8

Y1 - 1989/8

N2 - 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.

AB - 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.

KW - Complex Representation

KW - Displacement Field

KW - Linear Elasticity

KW - Plane Strain

KW - Regular Solution

UR - https://doi.org/10.1007/BF00055333

U2 - 10.1007/BF00055333

DO - 10.1007/BF00055333

M3 - Article

SN - 0374-3535

VL - 22

JO - Journal of Elasticity

JF - Journal of Elasticity

ER -

On the Representation of Three-Dimensional Elasticity Solutions with the Aid of Complex Valued Functions

Abstract

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