Some basic solutions for wave propagation in a rod exhibiting non-local elasticity

被引：4

作者：

Manolis, GD ^{[1
]}

机构：

[1] Aristotle Univ Thessaloniki, Dept Civil Engn, GR-54006 Thessaloniki, Greece

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2000年 / 24卷 / 06期

关键词：

fundamental solutions; non-local elasticity; strain gradient; wave propagation;

D O I：

10.1016/S0955-7997(00)00020-5

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this work, longitudinal wave propagation in a one-dimensional rod exhibiting cion-local elasticity with a strain gradient is examined under time-harmonic conditions. In particular, fundamental solutions for a point force and for boundary conditions at one end of the rod are derived using the Laplace transform. Furthermore, the differences observed in the rod's response when compared with the standard case of linear elastic material law are pointed out and discussed. Finally, these fundamental solutions can be used within the context of a boundary element formulation for examining various boundary-value problems for unidimensional wave motions. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：503 / 508

页数：6

共 15 条

[1]

Beskos D. E., 1996, APPL MECH REV, V50, P149, DOI DOI 10.1115/1.3101695

[2]

BREKHOVSKIKH IM, 1960, WAVES LAYERED MEDIA

[3] ON DIFFERENTIAL-EQUATIONS OF NONLOCAL ELASTICITY AND SOLUTIONS OF SCREW DISLOCATION AND SURFACE-WAVES [J].

ERINGEN, AC .

JOURNAL OF APPLIED PHYSICS, 1983, 54 (09) :4703-4710

[4] VISTAS OF NONLOCAL CONTINUUM PHYSICS [J].

ERINGEN, AC .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1992, 30 (10) :1551-1565

[5] NONLOCAL ELASTICITY [J].

ERINGEN, AC ;

EDELEN, DGB .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1972, 10 (03) :233-&

[6]

Flugge W, 1967, VISCOELASTICITY, V1st

[7] Anti-plane shear Lamb's problem treated by gradient elasticity with surface energy [J].

Georgiadis, HG ;

Vardoulakis, I .

WAVE MOTION, 1998, 28 (04) :353-366

[8]

HANSELMAN D, 1997, MATLAB VERSION 5 USE

[9] A first order system solution for the vector wave equation in a restricted class of heterogeneous media [J].

Manolis, GD ;

Shaw, RP ;

Pavlou, S .

JOURNAL OF SOUND AND VIBRATION, 1998, 209 (05) :723-752

[10]

MAUGIN GA, 1979, ARCH MECH, V31, P15

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