Abstract
In this paper, the influence of longitudinal variation of material properties on the deformation and stresses of thin-walled non-uniformly twisted Functionally Graded Material (FGM) beams is investigated. The longitudinal variation is described by a polynomial. Secondary deformations, resulting from the angle of twist, are considered. The transfer relations are derived and used for establishing finite element equations for non-uniformly twisted FGM beams in local coordinate systems. The warping part of the first derivative of the twist angle, caused by the bimoment, is considered as an additional degree of freedom at the nodes of the beam elements. The numerical investigation is performed with consideration of the Secondary Torsional Moment Deformation Effect (STMDE). It is focused on elastostatic analysis of straight cantilever FGM beams with doubly symmetric open as well as closed cross-sections. A very strong effect of the longitudinal variation of material properties on the twist angle and bimoment normal stresses is originally studied and presented. The results are compared with the ones obtained by a very fine mesh of standard solid and shell as well as warping beam finite elements.
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Acknowledgments
The authors gratefully acknowledge financial support by the Slovak Grant Agency of the project VEGA No. 1/0102/18.
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Murín, J., Hrabovsky, J., Kugler, S., Kutiš, V., Aminbaghai, M. (2020). Effect of Longitudinal Variation of Material Properties in Warping Torsion of FGM Beams. In: Altenbach, H., Chinchaladze, N., Kienzler, R., Müller, W. (eds) Analysis of Shells, Plates, and Beams. Advanced Structured Materials, vol 134. Springer, Cham. https://doi.org/10.1007/978-3-030-47491-1_14
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