Singular and fundamental solutions to potential and elasticity problems for a Riemann surface

DOI10.1016/0045-7825(90)90071-SzbMath0717.73077OpenAlexW2005994427MaRDI QIDQ2638861

Ulrich Heise

Publication date: 1990

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(90)90071-s

zbMATH Keywords

equilibrium equationplane elasticity problempotential equationKelvin solutionbipotential equationNavier's differential equation

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Fracture and damage (74R99) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Elastic materials (74B99) Connections of harmonic functions with differential equations in two dimensions (31A35)

We Found 4 Related Items (max. 100)

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

Cites Work

• Spectra of integral operators for ellipse- and hyperbola-shaped boundaries
• 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
• Two-dimensional BIE fracture mechanics analysis
• Application of the singularity method for the formulation of plane elastostatical boundary value problems as integral equations
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