The approximate solution of the elastic torsion problem of uniform bar with arbitrary cross-section

DOI10.1007/s10665-021-10173-9zbMath1480.74179OpenAlexW3205241389MaRDI QIDQ2062641

Atallah El-Shenawy

Publication date: 30 December 2021

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-021-10173-9

zbMATH Keywords

Fredholm integral equationPoisson equationsimply connected domaintruncated Fourier seriesbar torsionCauchy integral method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

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Cites Work

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• Some analytical solutions for Saint-Venant torsion of non-homogeneous cylindrical bars
• The differential quadrature element method/irregular element torsion analysis model
• The approximate solution of 2D Dirichlet problem in doubly connected domains
• Approximate conformal mappings and elasticity theory
• The approximate conformal mapping onto simply and doubly connected domains
• An integral equation solution of the torsion problem
• A Cauchy integral method of the solution of the 2D Dirichlet problem for simply or doubly connected domains

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