Fundamental solutions of Navier's differential operator for elastic Riemann spaces with a finite and with an infinite number of sheets

DOI10.1007/BF00350161zbMath0731.73091OpenAlexW2068777826MaRDI QIDQ808875

Ulrich Heise

Publication date: 1991

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00350161

zbMATH Keywords

elastostatic boundary value problemRiemann spaces

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Connections of harmonic functions with differential equations in higher dimensions (31B35) Differentials on Riemann surfaces (30F30)

Related Items

Fundamental solutions of Laplace's and Navier's differential operators defined on Riemann spaces with a circular branch line ⋮ Fundamental solutions to Laplace's potential operator and to Navier's elasticity operator for Riemann surfaces with finite and infinite numbers of sheets ⋮ Integral equations for the plane potential problem on domains with a corner or a slit

Cites Work

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• Regularisierte Faltung von Distributionen. Teil 1: Zur Berechnung von Fundamentallösungen
• Systematic compilation of integral equations of the Rizzo type and of Kupradze's functional equations for boundary value problems of plane elastostatics
• Fundamental solutions to Laplace's potential operator and to Navier's elasticity operator for Riemann surfaces with finite and infinite numbers of sheets
• Fundamental solutions of the plane and three-dimensional bipotential operators defined on various types of Riemann surfaces and spaces
• Application of the singularity method for the formulation of plane elastostatical boundary value problems as integral equations
• Fundamental solutions of Laplace's and Navier's differential operators defined on Riemann spaces with a circular branch line
• Singular and fundamental solutions to potential and elasticity problems for a Riemann surface
• Fundamental solutions of Laplace's potential operator and Navier's elasticity operator defined on Riemann spaces with two parallel, straight branch lines.

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