Theorems of geometric variation for finite element analysis

B. H V Topping, A. M. Abu Kassim

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


In this paper the theorems of geometric variation are developed for the reanalysis of finite element structures when variations in the co-ordinates of the nodes of the elements are considered. The formulation follows directly from that presented for truss structures. The paper also includes an investigation of the efficiency of the theorems of geometric variation as a reanalysis technique. The tests were undertaken on some simple finite element structures. The efficiency was based on the comparison of the CPU times (on an ICL 2900 mainframe computer) taken using the theorems as a reanalysis technique with that for a complete or fresh analysis. In addition, two examples are used to illustrate the potential application of the theroems of geometric variation. The first example is the reanalysis of a fillet tension bar. The second involves the analysis of an unconfined seepage flow problem.

Original languageEnglish
Pages (from-to)2577-2606
Number of pages30
JournalInternational Journal for Numerical Methods in Engineering
Issue number12
Publication statusPublished - Dec 1988


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