Geometry of logarithmic strain measures in solid mechanics

P Neff, B Eidel, RJ Martin - Archive for Rational Mechanics and Analysis, 2016 - Springer
We consider the two logarithmic strain measures=||\mathrm dev _n\mathrm log U||=||\mathrm
dev _n\mathrm log F^ TF||\quad and\quad\vol=|\mathrm tr (\mathrm log U)=|\mathrm tr …

The sum of squared logarithms inequality in arbitrary dimensions

L Borisov, P Neff, S Sra, C Thiel - Linear algebra and its applications, 2017 - Elsevier
We prove the sum of squared logarithms inequality (SSLI) which states that for nonnegative
vectors x, y∈ R n whose elementary symmetric polynomials satisfy ek (x)≤ ek (y)(for 1≤ k< …

[PDF][PDF] The sum of squared logarithms conjecture

P Neff - 2015 - researchgate.net
The conjecture is most likely true for all n 2 N as numerical sampling suggests, while
currently a proof is available only for n 2 11, 2, 3, 4l, see [1, 2, 9]. The sum of squared …

[引用][C] Patrizio Neff, Bernhard Eidel & Robert

J Martin