Application of the symmetry principle for biharmonic functions to a problem in fracture mechanics

DOI10.1007/BF00580701zbMath0526.31001OpenAlexW2021413748MaRDI QIDQ595060

Jacob Steinberg

Publication date: 1985

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00580701

zbMATH Keywords

series expansionfracture mechanicsintegral representationscontinuationelliptic coordinatesslit domainsymmetry principle for biharmonic functionstwo-sheeted Riemann surface

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Series solutions to PDEs (35C10) Continuation and prolongation of solutions to PDEs (35B60) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Cites Work

• Continuation of biharmonic functions by reflection
• On the boundary value problem of the biharmonic operator on domains with angular corners
• Numerical Treatment of Singularities in Elliptic Problems
• Application of Analytic Functions to Two-Dimensional Biharmonic Analysis
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