In-Situ SEM High Strain Rate Testing of Large Diameter Micropillars Followed by TEM and EBSD Postmortem Analysis

Experimental Mechanics - Dislocation dynamic simulations are intended as a tool to understand and predict the mechanical behavior of metallic materials, but its prediction has never been directly...     

Recurrences and formulae in an extension of the Eulerian numbers

In this paper, the author develops a general formula for numbers which are extensions of the Eulerian numbers. A_m ^tn, r) is defined to be the number of n-permutations with r rises of magnitude at least m. Intermediate steps in the derivation include a vertical recurrence relation. recurrence relations of the diagonals both as numbers and as polynomials, and recurrences and formulae strictly on the diagonals.     

Correction to: In‑situ SEM High Strain Rate Testing of Large Diameter Micropillars Followed by TEM and EBSD Postmortem Analysis

Experimental Mechanics -     

The relationship between integer and real solutions of constrained convex programming

We prove the following theorem which gives a bound on the proximity of the real and the integer solutions to certain constrained optimization programs.