Elasticity of initially stressed bodies with voids. Weak solutions
Marin Marin (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Marin Marin (1999)
Rendiconti del Seminario Matematico della Università di Padova
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G. Capriz, P. Podio-Guidugli (1982)
Rendiconti del Seminario Matematico della Università di Padova
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Luigi Ascione, Fernando Fraternali (1990)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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A mechanical one-dimensional model which describes the dynamical behaviour of laminated curved beams is formulated. It is assumed that each lamina can be regarded as a Timoshenko's beam and that the rotations of the cross sections can differ from one lamina to another. The relative displacements at the interfaces of adjacent laminae are assumed to be zero. Consequently the model includes a shear deformability, due to the warping of the cross beam section consequent to the variability...
Franco Pastrone (1991)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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It is proved that, as in three-dimensional elasticity, Betti's theorem represents a criterion for the existence of a stored-energy function for a Cosserat elastic shell.
Franco Pastrone (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Paolo Maria Mariano, Giuseppe Modica (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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A unified framework for analyzing the existence of ground states in wide classes of elastic complex bodies is presented here. The approach makes use of classical semicontinuity results, Sobolev mappings and cartesian currents. Weak diffeomorphisms are used to represent macroscopic deformations. Sobolev maps and cartesian currents describe the inner substructure of the material elements. Balance equations for irregular minimizers are derived. A contribution to the debate about the role...