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A Shell Finite Element Model for Superelasticity of Shape Memory Alloys

Part of the Advanced Structured Materials book series (STRUCTMAT,volume 134)

Abstract

A finite element formulation for the analysis of large strains of thin-walled shape memory alloys is briefly presented. For the shell model we use a seven-kinematic-parameter model for large deformations and rotations, which takes into account the through-the-thickness stretch and can directly incorporate a fully 3D inelastic constitutive equations. As for the constitutive model, we use a large strain isotropic formulation that is based on the multiplicative decomposition of the deformation gradient into the elastic and the transformation part and uses the transformation deformation tensor as an internal variable. Numerical examples are presented to illustrate the approach.

Keywords

  • Smart memory alloys
  • Superelasticity
  • 3D-shell model
  • Finite elements

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  • DOI: 10.1007/978-3-030-47491-1_20
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Acknowledgements

This work was supported by European research Council (ERC) under Horizon 2020 research and innovation program (ERC Starting Grant No. 803669), and by the Slovenian Research Agency (P2-0210).

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Correspondence to Boštjan Brank .

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Porenta, L., Brank, B., Dujc, J., Brojan, M., Tušek, J. (2020). A Shell Finite Element Model for Superelasticity of Shape Memory Alloys. 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_20

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  • DOI: https://doi.org/10.1007/978-3-030-47491-1_20

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