Existence theorem in the linear theory of multipolar elasticity
Carmen Maria Ieşan (1973)
Aplikace matematiky
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Carmen Maria Ieşan (1973)
Aplikace matematiky
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G. Capriz, P. Podio-Guidugli (1982)
Rendiconti del Seminario Matematico della Università di Padova
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Ivan Hlaváček, Miroslav Hlaváček (1969)
Aplikace matematiky
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A weak (generalized) solution to the boundary-value problems in Cosserat continuum is defined. Its existence, uniqueness and continuous dependence upon the given data is proved for the statical loading of bounded, inhomogeneous and anisotropic bodies. Principles of minimum potential energy, of minimum complementary energy and some generalized variational principles are established.
Marin, Marin (2008)
Mathematical Problems in Engineering
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Alberto Cialdea (1993)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In this paper the main problem of classical elastostatics with non absolutely continuous data is considered. Necessary and sufficient conditions under which the energy integral is finite are given.