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Title: Hyper-elastoplastic/damage modeling of rock with application to porous limestone

Abstract

Relations between porosity, damage, and bulk plasticity are examined in the context of continuum damage and hyper-elastoplasticity of porous rocks. Attention is given to a thermodynamically consistent derivation of the damage evolution equations and their role in the constitutive equations, for which the Eshelby stress is found to be important. The provided phenomenological framework allows for volumetric damage associated with pore growth to be distinguished from the isochoric damage associated with distributed microcracks, and a novel Drucker-Prager/cap type material model that includes damage evolution is presented. The model is shown to capture well the hardening/softening behavior and pressure dependence of the so-called brittle-ductile transition by comparison with confined triaxial compression measurements from the literature. Non-linear finite element simulations are also provided of the prediction of damage within porous limestone around a horizontal borehole wall.

Authors:
 [1];  [2]
  1. Stanford Univ., CA (United States). Dept. of Civil and Environmental Engineering; Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Stanford Univ., CA (United States). Dept. of Civil and Environmental Engineering
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Science Foundation (NSF)
OSTI Identifier:
1454993
Report Number(s):
LA-UR-17-20160
Journal ID: ISSN 0020-7683
Grant/Contract Number:
AC52-06NA25396; FG02-03ER15454
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
International Journal of Solids and Structures
Additional Journal Information:
Journal Volume: 143; Journal Issue: C; Journal ID: ISSN 0020-7683
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 58 GEOSCIENCES; Rock; Damage; Microfracture; Porosity; Eshelby stress; Drucker-Prager

Citation Formats

Bennett, Kane C., and Borja, Ronaldo I. Hyper-elastoplastic/damage modeling of rock with application to porous limestone. United States: N. p., 2018. Web. doi:10.1016/j.ijsolstr.2018.03.011.
Bennett, Kane C., & Borja, Ronaldo I. Hyper-elastoplastic/damage modeling of rock with application to porous limestone. United States. doi:10.1016/j.ijsolstr.2018.03.011.
Bennett, Kane C., and Borja, Ronaldo I. Tue . "Hyper-elastoplastic/damage modeling of rock with application to porous limestone". United States. doi:10.1016/j.ijsolstr.2018.03.011.
@article{osti_1454993,
title = {Hyper-elastoplastic/damage modeling of rock with application to porous limestone},
author = {Bennett, Kane C. and Borja, Ronaldo I.},
abstractNote = {Relations between porosity, damage, and bulk plasticity are examined in the context of continuum damage and hyper-elastoplasticity of porous rocks. Attention is given to a thermodynamically consistent derivation of the damage evolution equations and their role in the constitutive equations, for which the Eshelby stress is found to be important. The provided phenomenological framework allows for volumetric damage associated with pore growth to be distinguished from the isochoric damage associated with distributed microcracks, and a novel Drucker-Prager/cap type material model that includes damage evolution is presented. The model is shown to capture well the hardening/softening behavior and pressure dependence of the so-called brittle-ductile transition by comparison with confined triaxial compression measurements from the literature. Non-linear finite element simulations are also provided of the prediction of damage within porous limestone around a horizontal borehole wall.},
doi = {10.1016/j.ijsolstr.2018.03.011},
journal = {International Journal of Solids and Structures},
number = C,
volume = 143,
place = {United States},
year = {Tue Mar 13 00:00:00 EDT 2018},
month = {Tue Mar 13 00:00:00 EDT 2018}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on March 13, 2019
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