Analysis of Elastic Torsion in a Bar With Circular Holes by a Special Boundary Integral Method

DOI10.1115/1.3166975zbMath0511.73087OpenAlexW2058490771MaRDI QIDQ4750227

D. A. Caulk

Publication date: 1983

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.3166975

zbMATH Keywords

torsional rigiditycoefficientscircular cross sectionsystem of equationscircular holesfirst order equationapproximate equationsmaximum stresssolved analyticallymultiple holescross section with only one holedetermined by special system of boundary integral equationsreduced without approximation to single integral equationrepresented by series of circular harmonicsretain only first harmonic in solution representation on each holesolution on boundary of each holetorsion of elastic barwarping function on outer boundaryweakened by concentric ring

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Numerical methods for integral equations (65R20) Inhomogeneity in solid mechanics (74E05) Numerical and other methods in solid mechanics (74S99)

Related Items (4)

Saint-Venant's torsion of composite shafts reinforced with arbitrarily or periodically dispersed coated fibers ⋮ Generalized complex variable boundary integral equation for stress fields and torsional rigidity in torsion problems ⋮ Torsional rigidity of a circular bar with multiple circular inclusions using the null-field integral approach ⋮ Null‐field approach for Laplace problems with circular boundaries using degenerate kernels

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