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Journal of Engineering Mathematics
Erschienen in: Journal of Engineering Mathematics 1/2017

28.03.2017

Stress analysis for long thermoelastic rods with mixed boundary conditions

verfasst von: A. O. El-Refaie, A. Y. Al-Ali, K. H. Almutairi, E. K. Rawy

Erschienen in: Journal of Engineering Mathematics | Ausgabe 1/2017

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Abstract

A hybrid method involving boundary analysis and boundary collocation is used to obtain an approximate solution for a plane problem of uncoupled thermoelasticity with mixed thermal and mechanical boundary conditions in a square domain with one curved side. The unknown functions in the cross-section are obtained in the form of series expansions in Cartesian harmonics. A boundary analysis reveals the singular behavior of the solution at the transition points. In order to simulate the weak discontinuities of the temperature function and the discontinuities of stress, these expansions are enriched with proper harmonic functions with a singular behavior at the transition points. The results are discussed, and the functions of practical interest are represented on the boundary and also inside the domain. The locations where possible debonding of the fixed part of the boundary may take place are noted.
Vorheriger Artikel Second-order high-frequency approximation of inertial waves in viscous flows and its validity on different time scales
Nächster Artikel Kinetic effects regularize the mass-flux singularity at the contact line of a thin evaporating drop

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Metadaten
Titel
Stress analysis for long thermoelastic rods with mixed boundary conditions
verfasst von
A. O. El-Refaie
A. Y. Al-Ali
K. H. Almutairi
E. K. Rawy
Publikationsdatum
28.03.2017
Verlag
Springer Netherlands
Erschienen in
Journal of Engineering Mathematics / Ausgabe 1/2017
Print ISSN: 0022-0833
Elektronische ISSN: 1573-2703
DOI
https://doi.org/10.1007/s10665-016-9891-5

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