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Extending the Ramberg–Osgood Relationship to Account for Metal Porosity

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Abstract

This article proposes an extended Ramberg–Osgood (R–O) relationship accounting for the effect of porosity on porous metal behavior under tension. Initially, microstructural unit cells satisfying continuity boundary conditions were employed to account for pore intensity and its effect on elastic-plastic behavior. Results obtained from micromechanical simulations coupled with regression analyses were utilized to express elastic-plastic behavior as a function of porosity. Therefore, mathematical relationships were successfully developed to extend the R–O model to account for porosity. Finally, for validation and assessment of the developed relation, analytical and macromechanical finite element (FE) results were compared with those of testing. Comparisons at low-porosity range, i.e., < 10 pct, proved to have excellent agreement. It is concluded that multiscale FE analyses conducted successively on the micro- and macro-scales efficiently delineated the effect of porosity on mechanical behavior. Moreover, these analyses enabled extending the R–O relationship for accurate modeling of porous metals with low-range porosity.

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Acknowledgments

This work is sponsored by the President’s Doctoral Student Investment Fund (PDSIF) at Memorial University of Newfoundland and Natural Sciences and Engineering Research Council of Canada (NSERC) and Discovery Grant Program (NSERC DG No. 210415). This support is gratefully acknowledged.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, Newfoundland, A1B 3X5, Canada

    A. Y. Elruby & Sam Nakhla

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  1. A. Y. Elruby
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  2. Sam Nakhla
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Correspondence to A. Y. Elruby.

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Manuscript submitted February 12, 2019.

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Elruby, A.Y., Nakhla, S. Extending the Ramberg–Osgood Relationship to Account for Metal Porosity. Metall Mater Trans A 50, 3121–3131 (2019). https://doi.org/10.1007/s11661-019-05236-7

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