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Si formula il problema della piastra su mezzo elastico con riferimento ad una particolare modellazione del comportamento di tale mezzo. Si ipotizza infatti una natura unilaterale del contatto tra la piastra, supposta sottile e linearmente elastica, ed il mezzo di fondazione (od ostacolo), per il quale si ipotizza un legame cubico tra spostamenti e reazioni. Tale modello costituisce una generalizzazione di quello ben noto di Winkler e si presta alla descrizione approssimata di numerosi casi della...
We present a general geometrical theory of uniform bodies which includes three-dimensional Cosserat bodies, rods and shells as particular cases. Criteria of local homogeneity are given in terms on connections.
This paper is part of a larger project initiated with [2]. The final aim of the present paper is to give bounds for the homogenized (or effective) conductivity in two dimensional linear conductivity. The main focus is therefore the periodic setting. We prove new variational principles that are shown to be of interest in finding bounds on the homogenized conductivity. Our results unify previous approaches by the second author and make transparent the central role of quasiconformal mappings in all...
This paper is part of a larger project initiated with [2]. The
final aim of the present paper is to give bounds for the homogenized (or
effective) conductivity in two dimensional linear conductivity. The main focus is
therefore the periodic setting. We prove new variational principles that
are shown to be of interest in finding bounds on the homogenized
conductivity. Our results unify previous approaches by the second author and make
transparent the central role of quasiconformal mappings in all...
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