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The Non‐Stationary Thermal Problem in the Linear Theory of Elastic Shells
Author(s) -
DeSilva C. N.,
Allen S. J.
Publication year - 1965
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19650450408
Subject(s) - thermoelastic damping , statics , space (punctuation) , shell (structure) , thermal conduction , thermal , heat equation , surface (topology) , physics , shell theory , classical mechanics , mathematical analysis , mathematics , thermodynamics , materials science , geometry , linguistics , philosophy , composite material
The statics of thermoelastic shells is considered with emphasis on a linear theory. The three‐dimensional heat conduction equation, with the dilatational effect included, is studied, and from it is deduced a pair of simultaneous equations, valid in the middle surface space. This pair of equations is shown to reduce to forms relevant to a Kirchhoff‐Love theory, a Green‐Zerna theory and a linearized Marguerre shallow‐shell theory.