engleski

Configuration-dependent interpolation in higher- order 2D beam finite elements

Here we discuss interpolation functions for the field variables and their variations in relation to geometrically non-linear planar beam finite elements of Reissner's type within the context of a non-standard, configuration- dependent interpolational setting. We derive the configuration-dependent interpolation functions as an extension of the Borri and Bottasso helicoidal interpolation for two-noded elements, which is independent on the choice of the beam reference axis, to higher-order elements. In linear analysis, the proposed configuration-dependent interpolation coincides with the higher-order linked interpolation, which is known to produce exact results for polynomial loading. In non-linear analysis, the rotational part of the the configuration- dependent interpolation reduces to strain- invariant interpolation introduced by Jeleni\'{;c}; and Crisfield.

Non-linear analysis ; Reissner-Simo beam theory ; Configuration-dependent interpolation

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