Propagation of one-dimensional non-stationary waves in viscoelastic half space

被引：4

作者：

Korovaytseva E.A. ^{[1
]}

Pshenichnov S.G. ^{[1
]}

Tarlakovskii D.V. ^{[1
,2
]}

机构：

[1] Research Institute of Mechanics, Lomonosov Moscow State University, Moscow

[2] Moscow Aviation Institute, Moscow

来源：

Lobachevskii Journal of Mathematics | 2017年 / 38卷 / 5期

基金：

俄罗斯基础研究基金会;

关键词：

Green function; half space; Laplace transform; non-stationary waves; Viscoelasticity;

D O I：

10.1134/S1995080217050237

中图分类号：

学科分类号：

摘要：

The problem of one-dimensional non-stationary wave propagation in viscoelastic half space is considered. Relaxation kernel is considered exponential. Initial conditions are set to zero, displacement is determined on the half space boundary. The solution is represented in the form of perturbation and surface Green function resultant. For determination of Green function time Laplace transform is used. Its inverse transform is carried out both analytically expanding Green function in series and numerically. A good coincidence of analytical and numerical Green function calculation results is shown. The final solution is determined analytically. Examples of calculations are represented. © 2017, Pleiades Publishing, Ltd.

引用

页码：827 / 832

页数：5

共 16 条

[11]

Valanis K.C., Chang S., Stress wave propagation in a finite viscoelastic thin rod with a constitutive law of the hereditary type, Develop. Theor. Appl.Mech., 4, pp. 465-483, (1967)

[12]

Lin C.-M., Yang L.-D., Analytic solution on propagating law of stress wave from explosion of extended charge in linear viscoelasticmedium, J. Shandong Univ. Sci. Technol. Nat.Sci., 20, 3, pp. 1-3, (2001)

[13]

Pshenichnov S.G., Non-stationary dynamic problems of linear viscoelasticity, Mekh. Tverd. Tela, №1, pp. 84-96, (2013)

[14]

Gorshkov A.G., Medvedskii A.L., Rabinskii L.N., Tarlakovskii D.V., Waves in Continious Media, (2004)

[15]

Rabotnov Y.N., Mechanics of Deformed Solid, (1988)

[16]

Vestyak V.A., Tarlakovskii D.V., Investigation of non-stationary radial vibrations of electromagnetoelastic thick-wall sphere using numerical inversion of Laplace transform, Vestn. Tver. Univ., Ser.: Prikl.Mat., 1, 9, pp. 51-64, (2014)

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