caa a22 4500 386382956 CHVBK 20180307112049.0 cr unu---uuuuu 161130s1989 xx s 000 0 eng 10.1017/S0308210500024999 doi S0308210500024999 pii (NATIONALLICENCE)cambridge-10.1017/S0308210500024999 Orazov B.B. Department of Higher Mathematics, Moscow Technical High School, 2 Baumanskay Street, Moscow 107005, U.S.S.R On the asymptotic behaviour at infinity of solutions of the traction boundary value problem [Elektronische Daten] [B.B. Orazov] Korn's inequalities are proved for star-shaped domains and it is shown how the constants in these inequalities depend on the dimensions of the domain. These inequalities are then used to prove a generalisation of Saint-Venant's Principle for nonlinear elasticity and additionally to establish the asymptotic behaviour of solutions to the traction boundary value problem for a non-prismatic cylinder. Copyright © Royal Society of Edinburgh 1989 Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 111/1-2(1989), 33-52 0308-2105 111:1-2<33 1989 111 PRM https://doi.org/10.1017/S0308210500024999 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0308210500024999 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Orazov B.B. Department of Higher Mathematics, Moscow Technical High School, 2 Baumanskay Street, Moscow 107005, U.S.S.R NATIONALLICENCE 773 0- Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 111/1-2(1989), 33-52 0308-2105 111:1-2<33 1989 111 PRM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge