dc.contributor.author | Elliotis, Miltiades C. | en |
dc.contributor.author | Georgiou, Georgios C. | en |
dc.contributor.author | Xenophontos, Christos A. | en |
dc.creator | Elliotis, Miltiades C. | en |
dc.creator | Georgiou, Georgios C. | en |
dc.creator | Xenophontos, Christos A. | en |
dc.date.accessioned | 2019-12-02T10:34:57Z | |
dc.date.available | 2019-12-02T10:34:57Z | |
dc.date.issued | 2007 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56775 | |
dc.description.abstract | We use the singular function boundary integral method (SFBIM) to solve two model fracture problems on the plane. In the SFBIM, the solution is approximated by the leading terms of the local asymptotic solution expansion, which are also used to weight the governing biharmonic equation in the Galerkin sense. The discretized equations are reduced to boundary integrals by means of the divergence theorem and the Dirichlet boundary conditions are weakly enforced by means of Lagrange multipliers. The main advantage of the method is that the leading stress intensity factors (SIFs) are calculated directly together with the Lagrange multipliers, i.e. no post-processing of the numerical solution is necessary. The numerical results for the two model problems show the fast convergence of the method and compare well with those of the collocation Trefftz method. © 2006 Elsevier Ltd. All rights reserved. | en |
dc.source | Engineering Analysis with Boundary Elements | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-33846828791&doi=10.1016%2fj.enganabound.2006.09.008&partnerID=40&md5=10fa94a88d7393e457e2a6ca73ffa852 | |
dc.subject | Problem solving | en |
dc.subject | Mathematical models | en |
dc.subject | Function evaluation | en |
dc.subject | Boundary conditions | en |
dc.subject | Lagrange multipliers | en |
dc.subject | Harmonic analysis | en |
dc.subject | Boundary element method | en |
dc.subject | Stress intensity factors | en |
dc.subject | Biharmonic equation | en |
dc.subject | Singular function boundary integral methods | en |
dc.subject | Divergence theorem | en |
dc.subject | Singular function boundary integral method | en |
dc.subject | Boundary singularity | en |
dc.subject | Crack singularities | en |
dc.subject | Crack singularity | en |
dc.title | The singular function boundary integral method for biharmonic problems with crack singularities | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/j.enganabound.2006.09.008 | |
dc.description.volume | 31 | |
dc.description.issue | 3 | |
dc.description.startingpage | 209 | |
dc.description.endingpage | 215 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Cited By :9</p> | en |
dc.source.abbreviation | Eng Anal Boundary Elem | en |
dc.contributor.orcid | Xenophontos, Christos A. [0000-0003-0862-3977] | |
dc.contributor.orcid | Elliotis, Miltiades C. [0000-0002-7671-2843] | |
dc.contributor.orcid | Georgiou, Georgios C. [0000-0002-7451-224X] | |
dc.gnosis.orcid | 0000-0003-0862-3977 | |
dc.gnosis.orcid | 0000-0002-7671-2843 | |
dc.gnosis.orcid | 0000-0002-7451-224X | |