We study the equilibrium problem for two-dimensional bodies made of a no-tension material under gravity, subjected to distributed or concentrated loads on their boundary. Admissible and equilibrated stress fields are interpreted as tensor-valued measures with distributional divergence represented by a vector-valued measure. Such stress fields allow us to consider stress concentrations on surfaces and lines. Proceeding to problems in dimension two, we first determine an admissible equilibrated solution for a half-plane under gravity that underlies two subsequent solutions for rectangular panels. For the latter we give solutions for three types of loads.

A note on equilibrated stress fields for no-tension bodies under gravity / M. LUCCHESI; M. SILHAVY; N. ZANI;. - In: QUARTERLY OF APPLIED MATHEMATICS. - ISSN 0033-569X. - STAMPA. - 65:(2007), pp. 605-624.

A note on equilibrated stress fields for no-tension bodies under gravity

LUCCHESI, MASSIMILIANO;ZANI, NICOLA
2007

Abstract

We study the equilibrium problem for two-dimensional bodies made of a no-tension material under gravity, subjected to distributed or concentrated loads on their boundary. Admissible and equilibrated stress fields are interpreted as tensor-valued measures with distributional divergence represented by a vector-valued measure. Such stress fields allow us to consider stress concentrations on surfaces and lines. Proceeding to problems in dimension two, we first determine an admissible equilibrated solution for a half-plane under gravity that underlies two subsequent solutions for rectangular panels. For the latter we give solutions for three types of loads.
2007
65
605
624
M. LUCCHESI; M. SILHAVY; N. ZANI;
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/212173
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