Kinking Analysis by Hyper-elastic Finite Element Method

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Abstract

'Kinking' is known as an unstable behavior of a twisted slender rod, which occurs after the torsional buckling. It is simulated by a hyper-elastic finite element code developed by the authors, with hexahedral solid elements. The mechanical characteristics and the criterion of the kinking are successfully discussed. An incompressible constraint to model a rubber-like material is introduced in the simulation by the Lagrange multiplier method and the penalty method. It is found that the former method is computationally more efficient in the case of extremely large deformation such as kinking. © 1993, The Japan Society of Mechanical Engineers. All rights reserved.

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Watanabe, H., Hisada, T., & Noguchi, H. (1993). Kinking Analysis by Hyper-elastic Finite Element Method. Transactions of the Japan Society of Mechanical Engineers Series A, 59(557), 183–190. https://doi.org/10.1299/kikaia.59.183

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