On the solution of the sector problem

DOI10.1007/BF00041099zbMath0416.73004OpenAlexW2048032208MaRDI QIDQ754681

Pericles S. Theocaris, George J. Tsamasphyros

Publication date: 1979

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00041099

zbMATH Keywords

bi-orthogonality conditionasymptotic expansionstress functionBetti formulacomplex inversion integralMellin transform techniquesector problem

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Cites Work

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• On the computation of stress intensities at fixed-free corners
• A bi-orthogonality relation for clamped sector plates
• Extended orthogonality relationships for some problems of elasticity theory
• Determination of elastic stresses at notches and corners by integral equations
• The sector problem in plane elastostatics
• VARIATIONAL REDUCTION OF THE CLAMPEDPLATE TO TWO SUCCESSIVE MEMBRANE PROBLEMS WITH AN APPLICATION TO UNIFORMLY LOADED SECTORS
• THE USE OF THE MELLIN TRANSFORM IN FINDING THE STRESS DISTRIBUTION IN AN INFINITE WEDGE
• THE BENDING OF A UNIFORMLY LOADED CLAMPED PLATE IN THE FORM OF A CIRCULAR SECTOR