Asymptotic solution of the anti-plane problem for a two-dimensional lattice

被引：0

作者：

N. I. Aleksandrova

机构：

[1] Russian Academy of Sciences,Institute of Mining Engineering, Siberian Branch

来源：

Doklady Physics | 2014年 / 59卷

关键词：

Finite Difference Method; Discrete Fourier Transformation; Asymptotic Solution; DOKLADY Physic; Laplace Transformation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Propagation of unsteady waves under the effect of a step point load on a square lattice of springconnected masses is investigated. The problem is solved by two methods. Asymptotic solutions at large time intervals, which describe the behavior of long-wave perturbations, are derived analytically. The solution over the whole time interval for the waves of the entire spectral range is derived by the finite difference method. These solutions are compared, and their good agreement is shown.

引用

页码：129 / 132

页数：3

共 50 条

[21] Asymptotic approach to anti-plane dynamic problem of asymmetric three-layered composite plate
Nuruddeen, Rahmatullah Ibrahim
Nawaz, R.
Zia, Q. M. Zaigham
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (14) : 10933 - 10947
[22] Asymptotic estimates for a two-dimensional problem with polynomial nonlinearity
Grossi, A
Grossi, M
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (04) : 1013 - 1019
[23] Exponential solution of a problem of two-dimensional motion of micropolar fluid in a half-plane
El-Bary, AA
APPLIED MATHEMATICS AND COMPUTATION, 2005, 165 (01) : 81 - 93
[24] Asymptotic analysis of breather modes in a two-dimensional mechanical lattice
Wattis, Jonathan A. D.
Alzaidi, Ahmed S. M.
PHYSICA D-NONLINEAR PHENOMENA, 2020, 401
[25] ON THE SOLUTION OF THE TWO-DIMENSIONAL PROBLEM OF A PLANE CRACK OF ARBITRARY SHAPE IN AN ANISOTROPIC MATERIAL.
Ladopoulos, E.G.
1600, (28):
[26] Strain gradient solution for the Eshelby-type anti-plane strain inclusion problem
X. -L. Gao
H. M. Ma
Acta Mechanica, 2012, 223 : 1067 - 1080
[27] Strain gradient solution for the Eshelby-type anti-plane strain inclusion problem
Gao, X. -L.
Ma, H. M.
ACTA MECHANICA, 2012, 223 (05) : 1067 - 1080
[28] Anti-plane problem of nanocrack with surface piezoelectricity-a finite-form solution
Li, Zhiqi
Xiao, Wanshen
Xi, Junping
Zhu, Haiping
ARCHIVE OF APPLIED MECHANICS, 2021, 91 (04) : 1527 - 1539
[29] Asymptotic behavior of the solution to the two-dimensional stationary problem of flow past a body far from it
Sazonov, LI
MATHEMATICAL NOTES, 1999, 65 (1-2) : 202 - 207
[30] Asymptotic behavior of the solution to the two-dimensional stationary problem of flow past a body far from it
L. I. Sazonov
Mathematical Notes, 1999, 65 : 202 - 207

← 1 2 3 4 5 →