Numerical solution of a three-part mixed boundary value problem of linear elastostatics

E. N. Mastrojannis; L. M. Keer; T. Mura

doi:10.1016/0045-7825(83)90076-2

Numerical solution of a three-part mixed boundary value problem of linear elastostatics

E. N. Mastrojannis^*, L. M. Keer, T. Mura

^*Corresponding author for this work

Civil and Environmental Engineering

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

Abstract

A three-part mixed boundary value problem for the half-space z ≥ 0 (with Neumann conditions prescribed over a finite doubly connected region S₂ and Dirichlet conditions prescribed over the remaining of the z = 0 plane) is formulated to result into a system of two coupled integral equations. A procedure is outlined for the approximate solution of the problem under consideration for an arbitrary shape of the region S₂. For the special axisymmetric case when the region S₂ is a circular annulus of inner and outer radii a and b, respectively, the system of integral equations is reduced to a Fredholm integral equation of the second kind with a continuous non-symmetric kernel. The resulting integral equation is solved numerically and the results are found to be in good agreement with those previously published.

Original language	English (US)
Pages (from-to)	93-101
Number of pages	9
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	39
Issue number	1
DOIs	https://doi.org/10.1016/0045-7825(83)90076-2
State	Published - Jul 1983

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Physics and Astronomy(all)
Computer Science Applications

Access to Document

10.1016/0045-7825(83)90076-2

Cite this

@article{7af27333d28c439bbb10721083ce0b52,

title = "Numerical solution of a three-part mixed boundary value problem of linear elastostatics",

abstract = "A three-part mixed boundary value problem for the half-space z ≥ 0 (with Neumann conditions prescribed over a finite doubly connected region S2 and Dirichlet conditions prescribed over the remaining of the z = 0 plane) is formulated to result into a system of two coupled integral equations. A procedure is outlined for the approximate solution of the problem under consideration for an arbitrary shape of the region S2. For the special axisymmetric case when the region S2 is a circular annulus of inner and outer radii a and b, respectively, the system of integral equations is reduced to a Fredholm integral equation of the second kind with a continuous non-symmetric kernel. The resulting integral equation is solved numerically and the results are found to be in good agreement with those previously published.",

author = "Mastrojannis, {E. N.} and Keer, {L. M.} and T. Mura",

note = "Funding Information: *This work was supported by U.S. Army Research Grant Committee through the Greek Ministry of National Economy. **Visiting Scholar; permanent address: School of Engineering,",

year = "1983",

month = jul,

doi = "10.1016/0045-7825(83)90076-2",

language = "English (US)",

volume = "39",

pages = "93--101",

journal = "Computer Methods in Applied Mechanics and Engineering",

issn = "0374-2830",

publisher = "Elsevier",

number = "1",

}

TY - JOUR

T1 - Numerical solution of a three-part mixed boundary value problem of linear elastostatics

AU - Mastrojannis, E. N.

AU - Keer, L. M.

AU - Mura, T.

N1 - Funding Information: *This work was supported by U.S. Army Research Grant Committee through the Greek Ministry of National Economy. **Visiting Scholar; permanent address: School of Engineering,

PY - 1983/7

Y1 - 1983/7

N2 - A three-part mixed boundary value problem for the half-space z ≥ 0 (with Neumann conditions prescribed over a finite doubly connected region S2 and Dirichlet conditions prescribed over the remaining of the z = 0 plane) is formulated to result into a system of two coupled integral equations. A procedure is outlined for the approximate solution of the problem under consideration for an arbitrary shape of the region S2. For the special axisymmetric case when the region S2 is a circular annulus of inner and outer radii a and b, respectively, the system of integral equations is reduced to a Fredholm integral equation of the second kind with a continuous non-symmetric kernel. The resulting integral equation is solved numerically and the results are found to be in good agreement with those previously published.

AB - A three-part mixed boundary value problem for the half-space z ≥ 0 (with Neumann conditions prescribed over a finite doubly connected region S2 and Dirichlet conditions prescribed over the remaining of the z = 0 plane) is formulated to result into a system of two coupled integral equations. A procedure is outlined for the approximate solution of the problem under consideration for an arbitrary shape of the region S2. For the special axisymmetric case when the region S2 is a circular annulus of inner and outer radii a and b, respectively, the system of integral equations is reduced to a Fredholm integral equation of the second kind with a continuous non-symmetric kernel. The resulting integral equation is solved numerically and the results are found to be in good agreement with those previously published.

UR - http://www.scopus.com/inward/record.url?scp=0020778376&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0020778376&partnerID=8YFLogxK

U2 - 10.1016/0045-7825(83)90076-2

DO - 10.1016/0045-7825(83)90076-2

M3 - Article

AN - SCOPUS:0020778376

SN - 0374-2830

VL - 39

SP - 93

EP - 101

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 1

ER -

Numerical solution of a three-part mixed boundary value problem of linear elastostatics

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this