Shear and membrane locking in curved C0 elements

Henryk Stolarski, Ted Belytschko

Research output: Contribution to journalArticlepeer-review

214 Scopus citations


Locking phenomena in C0 curved finite elements are studied for displacement, hybrid-stress and mixed formulations. It is shown that for a curved beam element, shear and membrane locking are interrelated and either shear or membrane underintegration can alleviate it. However, reduced shear integration tends to diminish the membrane-flexural coupling which characterizes curved elements. Locking can also be expected in certain types of mixed formulations, the hybrid-stress formulations avoids locking for beams (but not for shells). Methods for avoiding locking are explored and alternatives evaluated.

Original languageEnglish (US)
Pages (from-to)279-296
Number of pages18
JournalComputer Methods in Applied Mechanics and Engineering
Issue number3
StatePublished - Dec 1983
Externally publishedYes


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