caa a22 4500 606166742 CHVBK 20210128100659.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s10665-014-9712-7 doi (NATIONALLICENCE)springer-10.1007/s10665-014-9712-7 Knops R. Maxwell Institute of Mathematical Sciences, and the School of Mathematical and Computer Sciences, Heriot-Watt University, EH14 4AS, Edinburgh, Scotland, UK aut Zanaboni's formulation of Saint-Venant's principle extended to linear thermo-elasticity [Elektronische Daten] [R. Knops] Zanaboni's formulation of Saint-Venant's principle states that in a sufficiently elongated body of otherwise general geometry, the strain energy of those parts of the body remote from the load surface tend to zero. The extension to the coupled theory of linear thermo-elastostatics undertaken here explicitly for Dirichlet boundary conditions is non-trivial and involves both the construction of a generalised Poincaré inequality and the derivation of positive lower and upper bounds for certain bilinear forms. Modification of Zanaboni's original argument is then possible and shows that the mechanical and thermal energies of parts of the body increasingly remote from the load surface likewise tend to zero. Springer Science+Business Media Dordrecht, 2014 General elongated geometries nationallicence Linear thermo-elastostatics nationallicence Saint-Venant's principle nationallicence Zanaboni nationallicence Journal of Engineering Mathematics Springer Netherlands 95/1(2015-12-01), 73-86 0022-0833 95:1<73 2015 95 10665 https://doi.org/10.1007/s10665-014-9712-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10665-014-9712-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Knops R. Maxwell Institute of Mathematical Sciences, and the School of Mathematical and Computer Sciences, Heriot-Watt University, EH14 4AS, Edinburgh, Scotland, UK aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Springer Netherlands 95/1(2015-12-01), 73-86 0022-0833 95:1<73 2015 95 10665