|
|||||
 |
|
|
|
|
|
Integration of
measures and admissible stress fields for masonry bodies
Massimiliano Lucchesi, Miroslav Šilhavý and Nicola Zani |
|
Vol. 3 (2008), No. 4, 675–696
|
Abstract |
|
We study the compatibility of loads for bodies made of a no-tension (masonry) material. Loads are defined as weakly compatible if they can be equilibrated by an admissible stress field represented by a tensor valued measure, and strongly compatible if they can be equilibrated by a square integrable function. In the present study, we examine situations in which weak compatibility implies strong compatibility. For families of loads that depend on a parameter and the families of measures that equilibrate these loads, we find that, under some conditions, averaging with respect to the parameter leads to a measure with a square integrable density that equilibrates the loads. We illustrate the procedure on two-dimensional rectangular panels free from gravity, clamped at the bottom, and subjected to various loads on the free part of the boundary. |
Keywords
masonry bodies, compatibility of loads, stresses
represented by measures
|
Milestones
Received: 31 May 2007
Accepted: 28 November 2007
Published: 1 June 2008
|
Authors |
| Massimiliano Lucchesi | |
| Dipartimento di Costruzioni Università di Firenze Piazza Brunelleschi 6 50121 Firenze Italy |
|
| Miroslav Šilhavý | |
| Mathematical Institute of the AV
ČR Zitná 25 115 67, Prague 1 Czech Republic |
|
| Nicola Zani | |
| Dipartimento di Costruzioni Università di Firenze Piazza Brunelleschi 6 50121 Firenze Italy |
|
|
