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On the Role of Some Integral Relations for a Variational Principle in Shell Theory
Author(s) -
Schumann W.,
Pellegrinelli L.
Publication year - 1989
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.19890691202
Subject(s) - analogy , mathematics , scalar (mathematics) , mathematical analysis , kinematics , variational principle , shell (structure) , classical mechanics , geometry , physics , epistemology , philosophy , engineering , civil engineering
The variation of the general functional of Washizu is transformed conveniently by the use of some integral relations partly of type Gauß‐Bonnet. The obtained symmetric form reflects entirely, in the interior and along the boundary, the static‐kinematic analogy and it contains only scalar functions.