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Pressure Loaded Structures under Large Deformations
Author(s) -
Bufler H.
Publication year - 1984
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.19840640708
Subject(s) - boundary value problem , eulerian path , function (biology) , lagrangian , mathematics , lagrangian and eulerian specification of the flow field , mathematical analysis , line (geometry) , classical mechanics , mechanics , physics , geometry , evolutionary biology , biology
Pressure loads are configuration dependent. The magnitude of the pressure may be considered as a function of the Eulerian or the Lagrangian coordinates respectively. The first (natural) case turns out to be conservative if a certain line integral vanishes; the second (artificial) one is always nonconservative. Basing on the theory of potential operators the condition for the conservativeness of a pressure loading acting on a finitely deformed structure is derived and the corresponding potential and incremental potential are calculated. They are needed for the variational principles of conservative elastic boundary value problems. In the nonconservative case the principle of virtual displacements and its incremental version respectively serve as an adequate description.