Fundamental solutions of Laplace's and Navier's differential operators defined on Riemann spaces with a circular branch line

DOI10.1007/BF00042424zbMath0808.73009OpenAlexW1999284201MaRDI QIDQ1338458

Ulrich Heise

Publication date: 1 December 1994

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

Full work available at URL: https://doi.org/10.1007/bf00042424

zbMATH Keywords

cracksslitselastostatic problemkernels of boundary integral equations

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) Riemann surfaces (30F99)

Related Items

On membrane interactions and a three-dimensional analog of Riemann surfaces, Integral equations for the plane potential problem on domains with a corner or a slit, Fundamental solutions of Navier's differential operator for elastic Riemann spaces with a finite and with an infinite number of sheets

Cites Work

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• Regularisierte Faltung von Distributionen. Teil 1: Zur Berechnung von Fundamentallösungen
• 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
• 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.