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A novel framework for elastoplastic behaviour of anisotropic solids

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Abstract

A general framework for developing nonlinear hyperelastic/plastic constitutive laws for anisotropic solids experiencing large strains and strain rates has been developed. The proposed framework does not rely on the “a priori” known strain energy function, but instead introduces a physical decomposition of the material element into seven physically independent stress bearing mechanisms, each of which has a constitutive law in terms of internal moments described by a scalar function of a single variable. The model has been encoded into a combined finite-discrete element method and tested against static geomechanical test data. The numerical validation experiments show the model can reproduce plastic anisotropic behaviour in both biaxial and uniaxial loading of a geomaterial.

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Acknowledgements

The work reported in this paper was funded by the Source Physics Experiment. The Source Physics Experiments (SPE) would not have been possible without the support of many people from several organizations. The authors wish to express their gratitude to the National Nuclear Security Administration, Defense Nuclear Nonproliferation Research and Development (DNN R&D), and the SPE working group, a multi-institutional and interdisciplinary group of scientists and engineers. This work was done by Los Alamos National Laboratory under award number DE-AC52-06NA25946. We would also like to acknowledge the Los Alamos National Laboratory LDRD Program (#20170109ER). This research used resources provided by the Los Alamos National Laboratory Institutional Computing Program, which is supported by the U.S. Department of Energy National Nuclear Security Administration under Contract No. 89233218CNA000001.

Funding

The funding was provided by U.S. DOE’s NNSA Award No. DE-AC52-06NA25946; Los Alamos National Laboratory, LDRD Program Award No. 20170109ER; Los Alamos National Laboratory, Institutional Computing program.

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Authors and Affiliations

  1. Geophysics Group, Los Alamos National Laboratory, P.O. Box 1663, Los Alamos, NM, 87545, USA

    Zhou Lei, Christopher R. Bradley, Esteban Rougier & Bryan Euser

  2. FGAG, University of Split, Split, Croatia

    Antonio Munjiza

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  1. Zhou Lei
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  2. Christopher R. Bradley
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  3. Antonio Munjiza
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  4. Esteban Rougier
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  5. Bryan Euser
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Correspondence to Zhou Lei.

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Lei, Z., Bradley, C.R., Munjiza, A. et al. A novel framework for elastoplastic behaviour of anisotropic solids. Comp. Part. Mech. 7, 823–838 (2020). https://doi.org/10.1007/s40571-020-00345-2

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  • DOI: https://doi.org/10.1007/s40571-020-00345-2

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