Some features of bending of a rod under a strong longitudinal compression
Analysis of PDEs
2017-06-16 v1 Mathematical Physics
math.MP
Abstract
Considered typical processes of rod bending under strong longitudinal compression. The dynamic equation of bending correspponds to a perturbation of the two- dimensional Laplace equation. It is established that, for these processes, expanding of do- mains of rapid increasing of bending begins in small neighborhoods of singularity points of solutions of the limiting Laplace's equation. The initial stages of these increases are described using the Hardy integral.
Keywords
Cite
@article{arxiv.1706.04044,
title = {Some features of bending of a rod under a strong longitudinal compression},
author = {A. A. Ershov and B. I. Suleimanov},
journal= {arXiv preprint arXiv:1706.04044},
year = {2017}
}
Comments
1) in russian 2) english version in RJMP (A.A.Ershov and B.I.Suleimanov Russ. J. Math. Phys. (2017) 24: 216. doi:10.1134/S1061920817020078)