Engineering AnalysisPub Date : 1988-09-01Epub Date: 2003-04-03DOI: 10.1016/0264-682X(88)90001-9
D.P.N. Kontoni, D.E. Beskos
{"title":"Boundary element formulation for dynamic analysis of nonlinear systems","authors":"D.P.N. Kontoni, D.E. Beskos","doi":"10.1016/0264-682X(88)90001-9","DOIUrl":"10.1016/0264-682X(88)90001-9","url":null,"abstract":"<div><p>The complete direct Boundary Element Method formulation for the transient dynamic analysis of general systems exhibiting nonlinear material behavior is provided. The formulation starts with either the reciprocal theorem or the weighted residual statement and with the aid of the equilibrium, kinematical and constitutive equations succeeds in providing the pertinent integral equations of the problem in the time domain within the context of small deformation theory of elastoplasticity or viscoplasticity. The formulation involves not only surface integrals but volume integrals as well. Both the initial strain and the initial stress approaches are presented. Spatial and temporal discretization of the integral equations are accomplished with the aid of higher order boundary elements and interior cells and a linear time variation of field quantities inside every time step, respectively. The solution then proceeds in a time stepping fashion following two alternative time-marching procedures. Various solution algorithms are provided and their applicability is discussed.</p></div>","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"5 3","pages":"Pages 114-125"},"PeriodicalIF":0.0,"publicationDate":"1988-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(88)90001-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90324815","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 : 1988-09-01Epub Date: 2003-04-03DOI: 10.1016/0264-682X(88)90007-X
Dorel Homentcovschi, Liviu Kreindler
{"title":"The CVBEM based on a cubic spline trial function","authors":"Dorel Homentcovschi, Liviu Kreindler","doi":"10.1016/0264-682X(88)90007-X","DOIUrl":"10.1016/0264-682X(88)90007-X","url":null,"abstract":"<div><p>The CVSBEM combines the complex variable cubic splines with the boundary element method. This new procedure enjoys the same advantages as the CVBEM; moreover the good convergence of the approximate potential function to the complex potential as well as of the derivative of the approximate complex potential function to the complex velocity (or complex intensity function) may be proved for CVSBEM.</p></div>","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"5 3","pages":"Pages 161-165"},"PeriodicalIF":0.0,"publicationDate":"1988-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(88)90007-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89674518","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 : 1988-09-01Epub Date: 2003-04-03DOI: 10.1016/0264-682X(88)90002-0
Slade Gellin, James M. Pitarresi
{"title":"Nonlinear analysis using temporal finite elements","authors":"Slade Gellin, James M. Pitarresi","doi":"10.1016/0264-682X(88)90002-0","DOIUrl":"10.1016/0264-682X(88)90002-0","url":null,"abstract":"<div><p>A formulation method, based on Hamilton's law of varying action, for finite elements in space and time incorporating nonlinear geometric and material behavior is presented. Case studies using elastic-plastic axial rod elements are carried out to demonstrate the accuracy, convergence and generality of the method.</p></div>","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"5 3","pages":"Pages 126-132"},"PeriodicalIF":0.0,"publicationDate":"1988-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(88)90002-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78745620","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 : 1988-09-01Epub Date: 2003-04-03DOI: 10.1016/0264-682X(88)90009-3
{"title":"ISCME International Society for Computational Methods in Engineering","authors":"","doi":"10.1016/0264-682X(88)90009-3","DOIUrl":"https://doi.org/10.1016/0264-682X(88)90009-3","url":null,"abstract":"","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"5 3","pages":"Page 167"},"PeriodicalIF":0.0,"publicationDate":"1988-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(88)90009-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"137087688","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 : 1988-09-01Epub Date: 2003-04-03DOI: 10.1016/0264-682X(88)90008-1
Arthur Portela
{"title":"Finite element analysis - from concepts to applications","authors":"Arthur Portela","doi":"10.1016/0264-682X(88)90008-1","DOIUrl":"10.1016/0264-682X(88)90008-1","url":null,"abstract":"","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"5 3","pages":"Page 166"},"PeriodicalIF":0.0,"publicationDate":"1988-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(88)90008-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73693871","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 : 1988-09-01Epub Date: 2003-04-03DOI: 10.1016/0264-682X(88)90003-2
G. Steven Gipson, D.D. Reible, S.A. Savant
{"title":"Boundary elements and perturbation theory for certain classes of hyperbolic and parabolic problems","authors":"G. Steven Gipson, D.D. Reible, S.A. Savant","doi":"10.1016/0264-682X(88)90003-2","DOIUrl":"10.1016/0264-682X(88)90003-2","url":null,"abstract":"<div><p>The boundary element method (BEM) has been applied to the solution of partial differential equations of the form <span><math><mtext>∇</mtext><msup><mi></mi><mn>2</mn></msup><mtext>φ = </mtext><mtext>L</mtext><mtext> + ƒe</mtext><msup><mi></mi><mn>kt</mn></msup></math></span> where <strong>L</strong> is the time derivative operator ∂/∂t or ∂/∂t, κ is a small magnitude complex quantity, and ƒ is a known function of the spatial variables. This equation is quite useful in a variety of physical problems, including forced vibrations of membranes, acoustic waves, and damped membrane response. Reported herein is a special mathematical treatment in which the solution to Eq. (1) is obtained by combining perturbation theory with the boundary integral equation technique. A particularly elegant formulation develops in which the solution to Eq. (1) may be rewritten as the solution of a set of coupled Poisson equations. Each equation may be handled by boundary elements using established methods for solving the Poisson equation. The time dependence of the formulation is handled exactly and explicitly. The new technique is of extreme interest in the theory of time-dependent phenomena in that it couples the best features of boundary elements with the well-established mathematics of perturbation theory. The paper concludes with examples of the use of the technique to several engineering problems and a discussion of the method's viability for other types of problems.</p></div>","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"5 3","pages":"Pages 133-139"},"PeriodicalIF":0.0,"publicationDate":"1988-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(88)90003-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80944427","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 : 1988-06-01Epub Date: 2003-04-03DOI: 10.1016/0264-682X(88)90045-7
Luis A. Godoy
{"title":"Finite strip methods for instability of prismatic plate assemblies","authors":"Luis A. Godoy","doi":"10.1016/0264-682X(88)90045-7","DOIUrl":"10.1016/0264-682X(88)90045-7","url":null,"abstract":"<div><p>The fundamentals and applications of the Finite Strip Method to instability of prismatic plate assemblies are reviewed. In the first part of the paper the motivation to study such stability problems in the context of civil engineering structures is stated. In the second part both the energy concept of stability from which the equilibrium equations are obtained, and the displacement fields used for the finite strip approximations are discussed. The last part is oriented to applications of the stability and finite strip fundamentals to the solution of bifurcation buckling, post buckling equilibrium and mode interaction. The applications show that the technique is capable of handling almost every problem of stability of prismatic plate assemblies, with the restrictions of the boundary conditions that can be satisfied in global buckling problems.</p></div>","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"5 2","pages":"Pages 100-107"},"PeriodicalIF":0.0,"publicationDate":"1988-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(88)90045-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84966990","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 : 1988-06-01Epub Date: 2003-04-03DOI: 10.1016/0264-682X(88)90041-X
R.N.L. Smith
{"title":"The solution of mixed-mode fracture problems using the boundary element method","authors":"R.N.L. Smith","doi":"10.1016/0264-682X(88)90041-X","DOIUrl":"10.1016/0264-682X(88)90041-X","url":null,"abstract":"<div><p>Three methods of computing stress intensity factors from nodal values near the crack tip are compared for an angled crack problem using a double region boundary element method. Two methods are based on displacement and one on traction values. There is good agreement with published results obtained using a single region for the symmetric crack problem. The mixed-mode examples show that the traction method is accurate and is the least sensitive to local meshing. Accurate results may also be obtained using a one-point displacement method.</p></div>","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"5 2","pages":"Pages 75-80"},"PeriodicalIF":0.0,"publicationDate":"1988-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(88)90041-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75535666","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":"Boundary element bending analysis of moderately thick plates","authors":"S. Long, C. Brebbia, J. Telles","doi":"10.1016/0264-682X(88)90040-8","DOIUrl":"https://doi.org/10.1016/0264-682X(88)90040-8","url":null,"abstract":"","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"25 1","pages":"64-74"},"PeriodicalIF":0.0,"publicationDate":"1988-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77834008","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}
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