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

M. Li; Y. C. Hon; T. Korakianitis; P. H. Wen

doi:10.1016/j.enganabound.2013.01.018

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

M. Li^*, Y. C. Hon, T. Korakianitis, P. H. Wen

^*Corresponding author for this work

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

34 Citations (Scopus)

Abstract

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. © 2013 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	842-849
Journal	Engineering Analysis with Boundary Elements
Volume	37
Issue number	5
Online published	1 Apr 2013
DOIs	https://doi.org/10.1016/j.enganabound.2013.01.018
Publication status	Published - May 2013

Research Keywords

Finite integration method
Laplace transform
Nonlocal elasticity
Static and dynamic loads

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title = "Finite integration method for nonlocal elastic bar under static and dynamic loads",

abstract = "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. {\textcopyright} 2013 Elsevier Ltd. All rights reserved.",

keywords = "Finite integration method, Laplace transform, Nonlocal elasticity, Static and dynamic loads",

author = "M. Li and Hon, {Y. C.} and T. Korakianitis and Wen, {P. H.}",

year = "2013",

month = may,

doi = "10.1016/j.enganabound.2013.01.018",

language = "English",

volume = "37",

pages = "842--849",

journal = "Engineering Analysis with Boundary Elements",

issn = "0955-7997",

publisher = "Elsevier Ltd.",

number = "5",

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TY - JOUR

T1 - Finite integration method for nonlocal elastic bar under static and dynamic loads

AU - Li, M.

AU - Hon, Y. C.

AU - Korakianitis, T.

AU - Wen, P. H.

PY - 2013/5

Y1 - 2013/5

N2 - 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. © 2013 Elsevier Ltd. All rights reserved.

AB - 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. © 2013 Elsevier Ltd. All rights reserved.

KW - Finite integration method

KW - Laplace transform

KW - Nonlocal elasticity

KW - Static and dynamic loads

UR - http://www.scopus.com/inward/record.url?scp=84875849648&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84875849648&origin=recordpage

U2 - 10.1016/j.enganabound.2013.01.018

DO - 10.1016/j.enganabound.2013.01.018

M3 - RGC 21 - Publication in refereed journal

SN - 0955-7997

VL - 37

SP - 842

EP - 849

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

IS - 5

ER -

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

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Research Keywords

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