A generalized anisotropic deformation formulation for geomaterials

Lei, Z.; Rougier, Esteban; Knight, E. E.; Munjiza, A.; Viswanathan, H.

doi:10.1007/s40571-015-0079-y

A generalized anisotropic deformation formulation for geomaterials

Journal Article · Sat Oct 17 00:00:00 EDT 2015 · Computational Particle Mechanics

DOI:https://doi.org/10.1007/s40571-015-0079-y· OSTI ID:1492579

Lei, Z. ^[1]; Rougier, Esteban ^[1]; Knight, E. E. ^[1]; Munjiza, A. ^[2]; Viswanathan, H. ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Queen Mary Univ., London (United Kingdom)

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 nonhomogeneous 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 corotational 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.

Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1492579

Report Number(s):: LA-UR--15-22065

Journal Information:: Computational Particle Mechanics, Journal Name: Computational Particle Mechanics Journal Issue: 2 Vol. 3; ISSN 2196-4378

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (13)

Combined single and smeared crack model in combined finite-discrete element analysis Munjiza, A.; Andrews, K. R. F.; White, J. K. International Journal for Numerical Methods in Engineering, Vol. 44, Issue 1 https://doi.org/10.1002/(SICI)1097-0207(19990110)44:1<41::AID-NME487>3.0.CO;2-A	journal	January 1999
Triangular composite finite elements Guo, Yong; Ortiz, Michael; Belytschko, Ted International Journal for Numerical Methods in Engineering, Vol. 47, Issue 13 https://doi.org/10.1002/(SICI)1097-0207(20000110/30)47:1/3<287::AID-NME772>3.3.CO;2-D	journal	January 2000
The Combined Finite-Discrete Element Method Munjiza, Ante John Wiley & Sons, Ltd https://doi.org/10.1002/0470020180	book	January 2004
Numerical comparison of some explicit time integration schemes used in DEM, FEM/DEM and molecular dynamics Rougier, E.; Munjiza, A.; John, N. W. M. International Journal for Numerical Methods in Engineering, Vol. 61, Issue 6 https://doi.org/10.1002/nme.1092	journal	September 2004
Locking-free continuum displacement finite elements with nodal integration Krysl, P.; Zhu, B. International Journal for Numerical Methods in Engineering, Vol. 76, Issue 7 https://doi.org/10.1002/nme.2354	journal	November 2008
Fracture and fragmentation of thin shells using the combined finite-discrete element method: FRACTURE AND FRAGMENTATION OF THIN SHELLS Munjiza, A.; Lei, Z.; Divic, V. International Journal for Numerical Methods in Engineering, Vol. 95, Issue 6 https://doi.org/10.1002/nme.4511	journal	June 2013
An Integrated Numerical Modelling–Discrete Fracture Network Approach Applied to the Characterisation of Rock Mass Strength of Naturally Fractured Pillars Elmo, Davide; Stead, Doug Rock Mechanics and Rock Engineering, Vol. 43, Issue 1 https://doi.org/10.1007/s00603-009-0027-3	journal	January 2009
Computational modelling of impact damage in brittle materials Camacho, G. T.; Ortiz, M. International Journal of Solids and Structures, Vol. 33, Issue 20-22 https://doi.org/10.1016/0020-7683(95)00255-3	journal	August 1996
Simulations of fracture and fragmentation of geologic materials using combined FEM/DEM analysis Morris, J. P.; Rubin, M. B.; Block, G. I. International Journal of Impact Engineering, Vol. 33, Issue 1-12 https://doi.org/10.1016/j.ijimpeng.2006.09.006	journal	December 2006
Validation of a three-dimensional Finite-Discrete Element Method using experimental results of the Split Hopkinson Pressure Bar test Rougier, E.; Knight, E. E.; Broome, S. T. International Journal of Rock Mechanics and Mining Sciences, Vol. 70 https://doi.org/10.1016/j.ijrmms.2014.03.011	journal	September 2014
Large scale simulation of red blood cell aggregation in shear flows Xu, Dong; Kaliviotis, Efstathios; Munjiza, Ante Journal of Biomechanics, Vol. 46, Issue 11 https://doi.org/10.1016/j.jbiomech.2013.05.010	journal	July 2013
Fracture-permeability behavior of shale Carey, J. William; Lei, Zhou; Rougier, Esteban Journal of Unconventional Oil and Gas Resources, Vol. 11 https://doi.org/10.1016/j.juogr.2015.04.003	journal	September 2015
Dynamic simulations of geological materials using combined FEM/DEM/SPH analysis Morris, Joseph; Johnson, Scott Geomechanics and Geoengineering, Vol. 4, Issue 1 https://doi.org/10.1080/17486020902767354	journal	March 2009

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Variational inequality-based framework of discontinuous deformation analysis Fan, Huo; Zhao, Jidong; Zheng, Hong International Journal for Numerical Methods in Engineering, Vol. 115, Issue 3 https://doi.org/10.1002/nme.5807	journal	April 2018
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Surrogate Models for Estimating Failure in Brittle and Quasi-Brittle Materials Mudunuru, Maruti Kumar; Panda, Nishant; Karra, Satish Applied Sciences, Vol. 9, Issue 13 https://doi.org/10.3390/app9132706	journal	July 2019

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