Improved strain interpolation for curved C° elements
- 1 January 1986
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 22 (1) , 281-288
- https://doi.org/10.1002/nme.1620220121
Abstract
The strain energy of straight beam members derived from the isoparametric shape functions is known to be invariant with respect to the number of integration points as long as they exceed a minimum number. However, this invariant property is generally lost for curved members. For example, the two‐point integrated, membrane strain energy of curved beams by employing the quadratic shape functions is different from the three‐point integrated one. This paper presents an invariant strain interpolation scheme for quadratic curved beam elements, which can lead to improved membrane representations in curved shell elements, thus resolving the perplexing membrane‐bending coupling difficulties in thin shell analysis.Keywords
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