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Green's Functions in the Non‐Stationary Theory of Elastic Shells
Author(s) -
De Silva C. N.,
Whitman A. B.
Publication year - 1967
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.19670470604
Subject(s) - thermoelastic damping , reciprocity (cultural anthropology) , green s , mathematical analysis , green's function , shell theory , mathematics , radius , shell (structure) , function (biology) , surface (topology) , classical mechanics , geometry , physics , materials science , thermal , thermodynamics , psychology , social psychology , computer security , evolutionary biology , biology , computer science , composite material
The method of Green's function is extended to the thermoelastic Kirchhoff‐Love theory of thin shells. A reciprocity theorem and heat conduction equations appropriate to the Kirchhoff‐Love theory are used to derive integral solution formulas for middle surface displacements involving six Green's functions. The equations determining the Green's functions are deduced and compared to those for shallow shells. Both sets of equations are solved by conventional techniques for an infinite circular cylindrical shell. One of the Green's functions is evaluated numerically at the source point for both theories, and a comparison between them is made for various ratios of shell thickness to radius.