skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Anisotropic finite hyper-elastoplasticity of geomaterials with Drucker-Prager/Cap type constitutive model formulation

Abstract

The formulation of large strain anisotropic hyper-elastoplasticity of geomaterials is examined. Attention is given to the role of structure tensors (also called fabric tensors), especially in context of the Eshelby-Mandel stress and large inelastic volume changes attributable to porosity. Both (hyper-)elastic and inelastic orthotropic symmetry, reducing to the particular case of transverse isotropy, are considered. Specific material assumptions and constitutive choices are identified for the development of a novel Anisotropic Drucker-Prager/Cap (ADPC) model formulated within the intermediate configuration consistent with multiplicative split of the deformation gradient. The model is calibrated to existing experimental measurements, including high pressure large strain triaxial compression of lithographic (Solnhofen) limestone and triaxial compression measurements on Tournemire shale assessing elastoplastic anisotropy. Manifest implications of constitutive theory are investigated, including consequences of recognizing (or not) the Eshelby-Mandel stress as energy conjugate to the plastic velocity gradient and including (or not) contribution from the skew-symmetric parts of the Mandel stress to the plastic anisotropy. Numerical simple shear experiments and large deformation simulated indentation experiments are provided in order to investigate model predictions and demonstrate the overall robustness in finite element modeling.

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of Colorado, Boulder, CO (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE; US Department of the Navy, Office of Naval Research (ONR)
OSTI Identifier:
1489977
Alternate Identifier(s):
OSTI ID: 1636868
Report Number(s):
LA-UR-18-25635
Journal ID: ISSN 0749-6419
Grant/Contract Number:  
89233218CNA000001; N00014-17-1-2704; AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
International Journal of Plasticity
Additional Journal Information:
Journal Volume: 123; Journal ID: ISSN 0749-6419
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING

Citation Formats

Bennett, K. C., Regueiro, R. A., and Luscher, D. J. Anisotropic finite hyper-elastoplasticity of geomaterials with Drucker-Prager/Cap type constitutive model formulation. United States: N. p., 2018. Web. https://doi.org/10.1016/j.ijplas.2018.11.010.
Bennett, K. C., Regueiro, R. A., & Luscher, D. J. Anisotropic finite hyper-elastoplasticity of geomaterials with Drucker-Prager/Cap type constitutive model formulation. United States. https://doi.org/10.1016/j.ijplas.2018.11.010
Bennett, K. C., Regueiro, R. A., and Luscher, D. J. Tue . "Anisotropic finite hyper-elastoplasticity of geomaterials with Drucker-Prager/Cap type constitutive model formulation". United States. https://doi.org/10.1016/j.ijplas.2018.11.010. https://www.osti.gov/servlets/purl/1489977.
@article{osti_1489977,
title = {Anisotropic finite hyper-elastoplasticity of geomaterials with Drucker-Prager/Cap type constitutive model formulation},
author = {Bennett, K. C. and Regueiro, R. A. and Luscher, D. J.},
abstractNote = {The formulation of large strain anisotropic hyper-elastoplasticity of geomaterials is examined. Attention is given to the role of structure tensors (also called fabric tensors), especially in context of the Eshelby-Mandel stress and large inelastic volume changes attributable to porosity. Both (hyper-)elastic and inelastic orthotropic symmetry, reducing to the particular case of transverse isotropy, are considered. Specific material assumptions and constitutive choices are identified for the development of a novel Anisotropic Drucker-Prager/Cap (ADPC) model formulated within the intermediate configuration consistent with multiplicative split of the deformation gradient. The model is calibrated to existing experimental measurements, including high pressure large strain triaxial compression of lithographic (Solnhofen) limestone and triaxial compression measurements on Tournemire shale assessing elastoplastic anisotropy. Manifest implications of constitutive theory are investigated, including consequences of recognizing (or not) the Eshelby-Mandel stress as energy conjugate to the plastic velocity gradient and including (or not) contribution from the skew-symmetric parts of the Mandel stress to the plastic anisotropy. Numerical simple shear experiments and large deformation simulated indentation experiments are provided in order to investigate model predictions and demonstrate the overall robustness in finite element modeling.},
doi = {10.1016/j.ijplas.2018.11.010},
journal = {International Journal of Plasticity},
number = ,
volume = 123,
place = {United States},
year = {2018},
month = {12}
}

Journal Article:

Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

Save / Share:

Works referencing / citing this record:

Boundary element analysis of transversely isotropic bi‐material halfspaces with inclined planes of isotropy and interfaces
journal, August 2019

  • Xiao, Sha; Yue, Zhongqi Quentin; Xiao, Hongtian
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 43, Issue 17
  • DOI: 10.1002/nag.2970

Generalized radial-return mapping algorithm for anisotropic von Mises plasticity framed in material eigenspace: Generalized radial-return mapping algorithm
journal, August 2018

  • Versino, Daniele; Bennett, Kane C.
  • International Journal for Numerical Methods in Engineering, Vol. 116, Issue 3
  • DOI: 10.1002/nme.5921

An energy approach to Modified Cam-Clay plasticity and damage modeling of cohesive soils
journal, November 2019