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Yield or martensitic phase transformation conditions and dissipation functions for isotropic, pressure-insensitive alloys exhibiting SD effect

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Summary

A class of nonsingular yield conditions depending on three parameters is analyzed for isotropic materials exhibiting strength differential effect and pressure insensitivity. The yield condition can then be expressed in terms of the second and third stress deviator invariants. The convexity requirement is considered and the constraints imposed on the material parameters are discussed in detail. The dual dissipation function is derived in the analytical form. The condition can be applied in the analysis of high strength alloys (such as Inconnel 718) or of shape memory alloys (such as NiTi, NiAl, CuZnGa, or CuAlNi) in order to specify the onset of yield, or of martensitic or austenitic transformation. The conditions can easily be generalized to account for mixed hardening and back stress anisotropy. Some experimental data are provided to verify the proposed conditions.

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Authors and Affiliations

  1. Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049, Warsaw, Poland

    Bogdan Raniecki & Z. Mróz

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  1. Bogdan Raniecki
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  2. Z. Mróz
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Correspondence to Bogdan Raniecki.

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Dedicated to Professor Franz Ziegler on the occasion of his 70th birthday

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Raniecki, B., Mróz, Z. Yield or martensitic phase transformation conditions and dissipation functions for isotropic, pressure-insensitive alloys exhibiting SD effect. Acta Mech 195, 81–102 (2008). https://doi.org/10.1007/s00707-007-0544-7

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  • DOI: https://doi.org/10.1007/s00707-007-0544-7

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