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Numerical Algorithm for a Three-dimensional Stress-induced Solid-phase-transformation Model

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Novel Approaches in Civil Engineering

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 14))

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Abstract

This work focuses on a three-dimensional thermomechanical model, recently proposed by Souza et al. [4] for stress-induced solid phase transformations and able to reproduce the main features of shape-memory materials in the realm of a small-deformation regime. A careful reading of the cited work highlightes how the proposed integration algorithm is only partially developed. Henceforth, we focus on the development of a effectively robust integration algorithm to be adopted in a numerical scheme, such as a finite-element framework.

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References

  1. J. Lemaitre and J.L. Chaboche. Mechanics of solid materials. Cambridge University Press, 1990.

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  3. J.C. Simo and T.J.R. Hughes. Computational inelasticity. Springer-Verlag, 1998.

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  4. A.C. Souza, E.N. Mamiya, and N. Zouain. Three-dimensional model for solids undergoing stress-induced phase transformations. European Journal of Mechan-ics, A: Solids, 17:789–806, 1998.

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© 2004 Springer-Verlag Berlin Heidelberg

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Auricchio, F., Petrini, L. (2004). Numerical Algorithm for a Three-dimensional Stress-induced Solid-phase-transformation Model. In: Frémond, M., Maceri, F. (eds) Novel Approaches in Civil Engineering. Lecture Notes in Applied and Computational Mechanics, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45287-4_17

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  • DOI: https://doi.org/10.1007/978-3-540-45287-4_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07529-2

  • Online ISBN: 978-3-540-45287-4

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