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Rank-one convex functions on2×2symmetric matrices and laminates on rank-three lines

✍ Scribed by S. Conti; D. Faraco; F. Maggi; S. Müller


Publisher
Springer
Year
2005
Tongue
English
Weight
293 KB
Volume
24
Category
Article
ISSN
0944-2669

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📜 SIMILAR VOLUMES


Necessary and sufficient conditions for
✍ Gilles Aubert 📂 Article 📅 1995 🏛 Springer Netherlands 🌐 English ⚖ 527 KB

We provide some new necessary and sufficient conditions for regular isotropic rank-one convex functions on M + = {2 x 2 matrices such that det M >~ 0}. It is well known that isotmpic functions W(M) can be written as W(M) = G(AI, ),2) where Ai are the singular values of M. One of these conditions al