Finite integration method for nonlocal elastic bar under static and dynamic loads

被引：32

作者：

Li, M. ^{[1
]}

Hon, Y. C. ^{[1
,2
]}

Korakianitis, T. ^{[3
]}

Wen, P. H. ^{[4
]}

机构：

[1] Taiyuan Univ Technol, Coll Math, Taiyuan, Peoples R China

[2] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

[3] St Louis Univ, Pk Coll Engn Aviat & Technol, St Louis, MO 63103 USA

[4] Univ London, Sch Engn & Mat Sci, London E1 4NS, England

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2013年 / 37卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Nonlocal elasticity; Finite integration method; Laplace transform; Static and dynamic loads; CARBON NANOTUBES; WAVE-PROPAGATION;

D O I：

10.1016/j.enganabound.2013.01.018

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The finite integration method is proposed in this paper to approximate solutions of partial differential equations. The coefficient matrix of this finite integration method is derived and its superior accuracy and efficiency is demonstrated by making comparison with the classical finite difference method. For illustration, the finite integration method is applied to solve a nonlocal elastic straight bar under different loading conditions both for static and dynamic cases in which Laplace transform technique is adopted for the dynamic problems. Several illustrative examples indicate that high accurate numerical solutions are obtained with no extra computational efforts. The method is readily extendable to solve more complicated problems of nonlocal elasticity. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：842 / 849

页数：8

共 14 条

[1]

ALTAN SB, 1989, ARCH MECH, V41, P25

[2]

BAZANT ZP, 1984, J ENG MECH-ASCE, V110, P1666

[3]

BAZANT ZP, 1976, J ENG MECH DIV-ASCE, V102, P331

[4] NON-LOCAL YIELD LIMIT DEGRADATION [J].

BAZANT, ZP ;

LIN, FB .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1988, 26 (08) :1805-1823

[5] NUMERICAL INVERSION OF LAPLACE TRANSFORMS - EFFICIENT IMPROVEMENT TO DUBNER AND ABATES METHOD [J].

DURBIN, F .

COMPUTER JOURNAL, 1974, 17 (04) :371-376

[6] 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

[7]

ERINGEN AC, 1987, RES MECH, V21, P313

[8] Axial vibration of carbon nanotube heterojunctions using nonlocal elasticity [J].

Filiz, Seckin ;

Aydogdu, Metin .

COMPUTATIONAL MATERIALS SCIENCE, 2010, 49 (03) :619-627

[9] Nonlocal shell model for elastic wave propagation in single- and double-walled carbon nanotubes [J].

Hu, Yan-Gao ;

Liew, K. M. ;

Wang, Q. ;

He, X. Q. ;

Yakobson, B. I. .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2008, 56 (12) :3475-3485

[10]

Pisano AA, 2003, INT J SOLIDS STRUCT, V40, P13, DOI 10.1016/S0020-7683(02)00547-4

← 1 2 →