Geometry of logarithmic strain measures in solid mechanics
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 …
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
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< …
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 …
currently a proof is available only for n 2 11, 2, 3, 4l, see [1, 2, 9]. The sum of squared …