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A generalized anisotropic deformation formulation for geomaterials

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Abstract

In this paper, the combined finite-discrete element method (FDEM) has been applied to analyze the deformation of anisotropic geomaterials. In the most general case geomaterials are both non-homogeneous and non-isotropic. With the aim of addressing anisotropic material problems, improved 2D FDEM formulations have been developed. These formulations feature the unified hypo-hyper elastic approach combined with a multiplicative decomposition-based selective integration for volumetric and shear deformation modes. This approach is significantly different from the co-rotational formulations typically encountered in finite element codes. Unlike the co-rotational formulation, the multiplicative decomposition-based formulation naturally decomposes deformation into translation, rotation, plastic stretches, elastic stretches, volumetric stretches, shear stretches, etc. This approach can be implemented for a whole family of finite elements from solids to shells and membranes. This novel 2D FDEM based material formulation was designed in such a way that the anisotropic properties of the solid can be specified in a cell by cell basis, therefore enabling the user to seed these anisotropic properties following any type of spatial variation, for example, following a curvilinear path. In addition, due to the selective integration, there are no problems with volumetric or shear locking with any type of finite element employed.

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Acknowledgments

We thank the Los Alamos National Laboratory LDRD Program (#200140002DR) for the financial support.

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Authors and Affiliations

  1. Geophysics Group, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA

    Z. Lei, Esteban Rougier & E. E. Knight

  2. Department of Engineering, Queen Mary University of London, London, E1 4NS, UK

    A. Munjiza

  3. Computational Earth Science Group, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA

    H. Viswanathan

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  1. Z. Lei
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  2. Esteban Rougier
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  3. E. E. Knight
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  4. A. Munjiza
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  5. H. Viswanathan
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Correspondence to Esteban Rougier.

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Lei, Z., Rougier, E., Knight, E.E. et al. A generalized anisotropic deformation formulation for geomaterials. Comp. Part. Mech. 3, 215–228 (2016). https://doi.org/10.1007/s40571-015-0079-y

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  • DOI: https://doi.org/10.1007/s40571-015-0079-y

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