Engineering AnalysisPub Date : 1988-12-01Epub Date: 2003-04-03DOI: 10.1016/0264-682X(88)90013-5
Domingo A. Tarzia
{"title":"An inequality for the constant heat flux to obtain a steady-state two-phase Stefan problem","authors":"Domingo A. Tarzia","doi":"10.1016/0264-682X(88)90013-5","DOIUrl":"10.1016/0264-682X(88)90013-5","url":null,"abstract":"<div><p>We consider a material <span><math><mtext>Ω ⊂ R</mtext><msup><mi></mi><mn>n</mn></msup></math></span> with regular boundary <em>Γ</em> = <em>Γ</em><sub>1</sub> ∪<em>Γ</em><sub>2</sub> and we assume that the melting temperature is 0°C. We apply a temperature <em>b</em> > 0 on <em>Γ</em><sub>1</sub> and a heat flux <em>q</em> > 0 on <em>Γ</em><sub>2</sub>. We prove that there exists a constant <em>q</em><sub>1</sub> > 0 such that, for <em>q</em> > <em>q</em><sub>1</sub>, we have a steady-state two-phase Stefan problem. This result is verified numerically, by using Modulef, with two cases with analytical solutions.</p></div>","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"5 4","pages":"Pages 177-181"},"PeriodicalIF":0.0,"publicationDate":"1988-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(88)90013-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78182484","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Engineering AnalysisPub Date : 1988-12-01Epub Date: 2003-04-03DOI: 10.1016/0264-682X(88)90018-4
P. Parreira
{"title":"On the accuracy of continuous and discontinuous boundary elements","authors":"P. Parreira","doi":"10.1016/0264-682X(88)90018-4","DOIUrl":"10.1016/0264-682X(88)90018-4","url":null,"abstract":"<div><p>To obtain a solution by the boundary element method, the governing integral boundary equation must be enforced at as many nodes as the number of degrees of freedom used to interpolate each component of the unknown boundary fields.</p><p>If these nodes are interior points of the elements, the solution thus obtained is discontinuous at the interfaces between elements. Interelement continuity can be achieved by locating the nodes along the perimeter of the elements.</p><p>In this work a study of the optimal position for the nodes, when discontinuous elements are used, is presented.</p><p>Based on the integral boundary equation, an <em>a posteriori</em> error estimator is defined, which is used in a comparative study of the accuracy of the solution obtained by the two approaches applied to plane elasticity examples.</p></div>","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"5 4","pages":"Pages 205-211"},"PeriodicalIF":0.0,"publicationDate":"1988-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(88)90018-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87506811","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Engineering AnalysisPub Date : 1988-12-01Epub Date: 2003-04-03DOI: 10.1016/0264-682X(88)90016-0
C.I. Gheorghiu
{"title":"FEM and/or BEM for numerical simulation of Marangoni flow","authors":"C.I. Gheorghiu","doi":"10.1016/0264-682X(88)90016-0","DOIUrl":"10.1016/0264-682X(88)90016-0","url":null,"abstract":"","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"5 4","pages":"Pages 195-197"},"PeriodicalIF":0.0,"publicationDate":"1988-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(88)90016-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84720610","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Free vibration analysis of elastic plate structures by boundary element method","authors":"Masataka Tanaka, Kouji Yamagiwa, Kenichi Miyazaki, Takahiro Ueda","doi":"10.1016/0264-682X(88)90014-7","DOIUrl":"10.1016/0264-682X(88)90014-7","url":null,"abstract":"<div><p>This paper is concerned with an integral equation approach to the free vibration problems of elastic plate structures. In the usual boundary integral equation method, the eigen frequency must be determined by means of the so called direct search of the zero-determinant value of the system matrix. To circumvent these difficulties this paper presents a new integral equation approach and its solution procedure, in which an approximate fundamental solution to the static problem is used for the formulation. The resulting set of integral equations are discretized by means of the boundary-domain element method and reduced to the system of algebraic eigenvalue equations. The potential usefulness of the proposed method is demonstrated through some sample computations.</p></div>","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"5 4","pages":"Pages 182-188"},"PeriodicalIF":0.0,"publicationDate":"1988-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(88)90014-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73089306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Role of frature mechanics in modern technology Editors: G.C. Sih, H. Nisitani and T. Ishihara North Holland, 1987, 915 pages, £67 ISBN: 0 444 70240 7","authors":"A. Portela","doi":"10.1016/0264-682X(88)90021-4","DOIUrl":"https://doi.org/10.1016/0264-682X(88)90021-4","url":null,"abstract":"","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"63 1","pages":"216"},"PeriodicalIF":0.0,"publicationDate":"1988-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82325657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Engineering AnalysisPub Date : 1988-12-01Epub Date: 2003-04-03DOI: 10.1016/0264-682X(88)90021-4
Artur Portela
{"title":"Role of frature mechanics in modern technology","authors":"Artur Portela","doi":"10.1016/0264-682X(88)90021-4","DOIUrl":"https://doi.org/10.1016/0264-682X(88)90021-4","url":null,"abstract":"","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"5 4","pages":"Page 216"},"PeriodicalIF":0.0,"publicationDate":"1988-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(88)90021-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91983590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}