Complex variables boundary element method for elasticity problems with constant body force

Igor A. Ostanin; Sofia G. Mogilevskaya; Joseph F. Labuz; John Napier

doi:10.1016/j.enganabound.2010.11.008

Complex variables boundary element method for elasticity problems with constant body force

Igor A. Ostanin, Sofia G. Mogilevskaya, Joseph F. Labuz, John Napier

Civil, Environmental, and Geo- Engineering

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

The direct formulation of the complex variables boundary element method is generalized to allow for solving problems with constant body forces. The hypersingular integral equation for two-dimensional piecewise homogeneous medium is presented and the numerical solution is described. The technique can be used to solve a wide variety of problems in engineering. Several examples are presented to verify the approach and to demonstrate its key features. The results of calculations performed with the proposed approach are compared with available analytical and numerical benchmark solutions.

Original language	English (US)
Pages (from-to)	623-630
Number of pages	8
Journal	Engineering Analysis with Boundary Elements
Volume	35
Issue number	4
DOIs	https://doi.org/10.1016/j.enganabound.2010.11.008
State	Published - Apr 2011

Bibliographical note

Funding Information:
Partial support for this work was provided by the National Science Foundation , Grant no. CMMI-0825454 .

Keywords

Complex variables boundary element method
Constant body force

Publisher link

10.1016/j.enganabound.2010.11.008

Find It

Find It at U of M Libraries

Cite this

@article{6de4d26101b046fcaad62a85c9a42990,

title = "Complex variables boundary element method for elasticity problems with constant body force",

abstract = "The direct formulation of the complex variables boundary element method is generalized to allow for solving problems with constant body forces. The hypersingular integral equation for two-dimensional piecewise homogeneous medium is presented and the numerical solution is described. The technique can be used to solve a wide variety of problems in engineering. Several examples are presented to verify the approach and to demonstrate its key features. The results of calculations performed with the proposed approach are compared with available analytical and numerical benchmark solutions.",

keywords = "Complex variables boundary element method, Constant body force",

author = "Ostanin, {Igor A.} and Mogilevskaya, {Sofia G.} and Labuz, {Joseph F.} and John Napier",

note = "Funding Information: Partial support for this work was provided by the National Science Foundation , Grant no. CMMI-0825454 .",

year = "2011",

month = apr,

doi = "10.1016/j.enganabound.2010.11.008",

language = "English (US)",

volume = "35",

pages = "623--630",

journal = "Engineering Analysis with Boundary Elements",

issn = "0955-7997",

publisher = "Elsevier Limited",

number = "4",

}

TY - JOUR

T1 - Complex variables boundary element method for elasticity problems with constant body force

AU - Ostanin, Igor A.

AU - Mogilevskaya, Sofia G.

AU - Labuz, Joseph F.

AU - Napier, John

N1 - Funding Information: Partial support for this work was provided by the National Science Foundation , Grant no. CMMI-0825454 .

PY - 2011/4

Y1 - 2011/4

N2 - The direct formulation of the complex variables boundary element method is generalized to allow for solving problems with constant body forces. The hypersingular integral equation for two-dimensional piecewise homogeneous medium is presented and the numerical solution is described. The technique can be used to solve a wide variety of problems in engineering. Several examples are presented to verify the approach and to demonstrate its key features. The results of calculations performed with the proposed approach are compared with available analytical and numerical benchmark solutions.

AB - The direct formulation of the complex variables boundary element method is generalized to allow for solving problems with constant body forces. The hypersingular integral equation for two-dimensional piecewise homogeneous medium is presented and the numerical solution is described. The technique can be used to solve a wide variety of problems in engineering. Several examples are presented to verify the approach and to demonstrate its key features. The results of calculations performed with the proposed approach are compared with available analytical and numerical benchmark solutions.

KW - Complex variables boundary element method

KW - Constant body force

UR - http://www.scopus.com/inward/record.url?scp=78650460294&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650460294&partnerID=8YFLogxK

U2 - 10.1016/j.enganabound.2010.11.008

DO - 10.1016/j.enganabound.2010.11.008

M3 - Article

AN - SCOPUS:78650460294

SN - 0955-7997

VL - 35

SP - 623

EP - 630

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

IS - 4

ER -

Complex variables boundary element method for elasticity problems with constant body force

Abstract

Bibliographical note

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this