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Modeling of Superelastic–plastic Behavior of Porous Shape Memory Alloys Incorporating Void Shape Effects

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Abstract

A new constitutive model for describing the superelastic–plastic behavior of porous shape memory alloys (SMAs) is proposed. The model incorporates the influences of void shape and hydrostatic pressure as well as the elastic modulus mismatch between austenite and martensite. In addition, the interactions between plastic strain and transformation strain are considered via the plastic back stress. The porous SMAs are considered as two-phase composites with the dense SMA matrix and the second phase representing ellipsoidal voids. Based on Gurson’s formulation, the transformation and plastic flow potentials accounting for the transformation–plasticity coupling are developed. The numerical results present good agreement with available experimental data for various levels of porosity, which proves that the model is capable of capturing stress-induced phase transformation and plastic deformation of porous SMAs. Using the proposed model, the influence of plastic strain on reverse transformation and the effects of porosity and void shape on the pseudoelastic and plastic behavior of porous SMAs are investigated.

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Authors and Affiliations

Authors

Contributions

Guansuo Dui developed theoretical formalism. Xiang Zhu performed the numerical simulations. Both Xiang Zhu and Guansuo Dui contributed to the final version of the manuscript.

Corresponding author

Correspondence to Guansuo Dui.

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Funding

The authors acknowledge the financial support of National Natural Science Foundation of China (Grant no. 11772041).

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Not applicable.

Conflicts of interest/Competing interests

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Additional information

The original online version of this article was revised: During production of the article unfortunately a typesetting mistake has been introduced in equation 3.

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Zhu, X., Dui, G. Modeling of Superelastic–plastic Behavior of Porous Shape Memory Alloys Incorporating Void Shape Effects. Acta Mech. Solida Sin. 34, 632–644 (2021). https://doi.org/10.1007/s10338-021-00214-2

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  • DOI: https://doi.org/10.1007/s10338-021-00214-2

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