DC Field | Value | Language |
---|---|---|
dc.contributor.author | Huh, Hoon | ko |
dc.contributor.author | Yang, Wei H. | ko |
dc.date.accessioned | 2009-12-22T07:41:13Z | - |
dc.date.available | 2009-12-22T07:41:13Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 1991 | - |
dc.identifier.citation | INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, v.28, no.6, pp.727 - 738 | - |
dc.identifier.issn | 0020-7683 | - |
dc.identifier.uri | http://hdl.handle.net/10203/15615 | - |
dc.description.abstract | A computational approach to limit solutions is considered most challenging for two major reasons. A limit solution is likely to be non-smooth such that certain non-differentiable functions are perfectly admissible and make physical and mathematical sense. Moreover, the possibility of non-unique solutions makes it difficult to analyze the convergence of an iterative algorithm or even to define a criterion of convergence. In this paper, we use two mathematical tools to resolve these difficulties. A duality theorem defines convergence from above and from below the exact solution. A combined smoothing and successive approximation applied to the upper bound formulation perturbs the original problem into a smooth one by a small parameter epsilon. As epsilon --> 0, the solution of the original problem is recovered. This general computational algorithm is robust such that from any initial trial solution, the first iteration falls into a convex hull that contains the exact solution(s) of the problem. Unlike an incremental method that invariably renders the limit problem ill-conditioned, the algorithm is numerically stable. Limit analysis itself is a highly efficient concept which bypasses the tedium of the intermediate elastic-plastic deformation and seeks the most important information directly. With the said algorithm, we have produced many limit solutions of plane stress problems. Certain non-smooth characters of the limit solutions are shown in the examples presented. Two well-known as well as one parametric family of yield functions are used to allow comparison with some classical solutions. | - |
dc.language | English | - |
dc.language.iso | en_US | en |
dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
dc.title | A GENERAL ALGORITHM FOR LIMIT SOLUTIONS OF PLANE-STRESS PROBLEMS | - |
dc.type | Article | - |
dc.identifier.wosid | A1991GB18000004 | - |
dc.identifier.scopusid | 2-s2.0-44949281272 | - |
dc.type.rims | ART | - |
dc.citation.volume | 28 | - |
dc.citation.issue | 6 | - |
dc.citation.beginningpage | 727 | - |
dc.citation.endingpage | 738 | - |
dc.citation.publicationname | INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | - |
dc.embargo.liftdate | 9999-12-31 | - |
dc.embargo.terms | 9999-12-31 | - |
dc.contributor.localauthor | Huh, Hoon | - |
dc.contributor.nonIdAuthor | Yang, Wei H. | - |
dc.type.journalArticle | Article | - |
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