caa a22 4500 388108878 CHVBK 20180307125347.0 cr unu---uuuuu 161130s1999 xx s 000 0 eng 10.1017/S0308210500031048 doi S0308210500031048 pii (NATIONALLICENCE)cambridge-10.1017/S0308210500031048 On the strong closure of strains and stresses in linear elasticity [Elektronische Daten] We consider the following special problem related to the optimal layout problems of materials: given two linear elastic materials, the elasticity tensors of which are C1 and C2, and a force f, find the strong closure of strains and stresses as the distribution of the materials varies, or, alternatively, find the sets of elasticity tensors which generate these strong closures. In this paper, it is shown that the local incompatibility conditions depending on C1, C2 and the local properties of strains or stresses completely characterize these sets. A connection to multiple-well problems is established. Copyright © Royal Society of Edinburgh 1999 Miettinen Markku Department of Mathematics, University of Jyvaskyla PO Box 35 FIN-40351 Jyväskylä, Finland Raitums Uldis Institute of Mathematics and Computer Science, University of Latvia, LV-1459 Riga, Latvia Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 129/5(1999), 987-1009 0308-2105 129:5<987 1999 129 PRM https://doi.org/10.1017/S0308210500031048 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0308210500031048 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Miettinen Markku Department of Mathematics, University of Jyvaskyla PO Box 35 FIN-40351 Jyväskylä, Finland NATIONALLICENCE 700 1- Raitums Uldis Institute of Mathematics and Computer Science, University of Latvia, LV-1459 Riga, Latvia NATIONALLICENCE 773 0- Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 129/5(1999), 987-1009 0308-2105 129:5<987 1999 129 PRM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge