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Behavior of thin rectangular ANCF shell elements in various mesh configurations

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Abstract

The absolute nodal coordinate formulation (ANCF) is characterized by being developed specifically for dynamic analysis of large deformation problems. The objective of the study is to investigate how the shape of the initial mesh configuration influences the obtained numerical solution. After a thorough review of three available formulations, they are used in three different convergence studies. Initially a reference study is conducted to determine how the ANCF performs in an uniform and rectangular mesh. Subsequently, the ANCF methods sensitivity to irregular mesh is investigated and finally, the ability of the ANCF method to describe curved structures is evaluated. This study concludes that thin ANCF shell elements are sensitive to both the initial shape and their loading condition. Furthermore, both the initial configuration and the loading condition affect how the ANCF-based models converge. It is suggested that models containing thin ANCF shell elements are subjected to extensive validation studies, before they are used in a design process.

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Notes

  1. Displacements in the y-direction are restrained for the nodes along the edge parallel to the x-axis, and displacements in the x-direction are restrained for the nodes along the edge parallel to the y-axis

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Acknowledgments

This study was supported by the Aca-demy of Finland (#138574).

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Authors and Affiliations

  1. Department of Engineering, Institute of Science and Technology, Aarhus University, Finlandsgade 22, 8200 , Aarhus N, Denmark

    Per Hyldahl & Ole Balling

  2. Department of Mechanical Engineering, Lappeenranta University of Technology, P.O. Box 20, 53851 , Lappeenranta, Finland

    Aki M. Mikkola & Jussi T. Sopanen

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  1. Per Hyldahl
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  2. Aki M. Mikkola
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  3. Ole Balling
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  4. Jussi T. Sopanen
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Correspondence to Per Hyldahl.

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Hyldahl, P., Mikkola, A.M., Balling, O. et al. Behavior of thin rectangular ANCF shell elements in various mesh configurations. Nonlinear Dyn 78, 1277–1291 (2014). https://doi.org/10.1007/s11071-014-1514-y

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  • DOI: https://doi.org/10.1007/s11071-014-1514-y

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