The use of complex valued functions for the solution of three-dimensional elasticity problems

DOI10.1007/BF00044194zbMath0619.73004OpenAlexW2051986492MaRDI QIDQ1090122

Reinhard Piltner

Publication date: 1987

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00044194

zbMATH Keywords

zero body forcescomplex valued functions3-dimensional problemsbiharmonic stress function

Mathematics Subject Classification ID

Related Items (9)

Overview about Solution Representations for Elasticity Problems and Some Selected Particular Solutions ⋮ Thermoelasticity theory and the decomposed form of thick plates for extensional deformation ⋮ Method of fundamental solutions for 3D elasticity with body forces by coupling compactly supported radial basis functions ⋮ The application of a complex 3-dimensional elasticity solution representation for the analysis of a thick rectangular plate ⋮ Application of a direct Trefftz method with domain decomposition to 2D potential problems ⋮ Some remarks on Trefftz type approximations ⋮ The derivation of a thick and thin plate formulation without ad hoc assumptions ⋮ ψ-Hyperholomorphic functions and a Kolosov-Muskhelishvili formula ⋮ On the representation of three-dimensional elasticity solutions with the aid of complex valued functions

Cites Work

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• Special finite elements with holes and internal cracks
• Solution of axisymmetric problems of the theory of elasticity with the aid of relations between axisymmetric and plane states of stress
• One form of solution of three-dimensional axisymmetric problems of elasticity theory by means of functions of a complex variable and the solution of these problems for the sphere
• Ansätze zur Lösung der Grundgleichungen der Elastizitätstheorie

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