Analytical solutions of some internal boundary value problems of elasticity for domains with hyperbolic boundaries

DOI10.1177/1081286518805269zbMath1425.74067OpenAlexW2896129883MaRDI QIDQ5244336

Natela Zirakashvili

Publication date: 20 November 2019

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286518805269

zbMATH Keywords

harmonic functionseparation of variableselliptic coordinateshyperbolic boundaryinternal boundary value problem

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

Cites Work

• Elastic stress distributions for hyperbolic and parabolic notches in round shafts under torsion and uniform antiplane shear loadings
• The numerical solution of boundary value problems for an elastic body with an elliptic hole and linear cracks
• Solution of some elasticity boundary value problems in bipolar coordinates
• Exact solution of some exterior boundary value problems of elasticity in parabolic coordinates
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Analytical solutions of some internal boundary value problems of elasticity for domains with hyperbolic boundaries