A thermomechanical anisotropic model for shock loading of elastic-plastic and elastic-viscoplastic materials with application to jointed rock
Abstract
Here, a large deformation thermomechanical model is developed for shock loading of a material that can exhibit elastic and inelastic anisotropy. Use is made of evolution equations for a triad of microstructural vectors mi(i=1,2,3) which model elastic deformations and directions of anisotropy. Specific constitutive equations are presented for a material with orthotropic elastic response. The rate of inelasticity depends on an orthotropic yield function that can be used to model weak fault planes with failure in shear and which exhibits a smooth transition to isotropic response at high compression. Moreover, a robust, strongly objective numerical algorithm is proposed for both rate-independent and rate-dependent response. The predictions of the continuum model are examined by comparison with exact steady-state solutions. Also, the constitutive equations are used to obtain a simplified continuum model of jointed rock which is compared with high fidelity numerical solutions that model a persistent system of joints explicitly in the rock medium.
- Authors:
-
- Technion - Israel Institute of Technology, Haifa (Israel)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1375299
- Report Number(s):
- LLNL-JRNL-678007
Journal ID: ISSN 0178-7675
- Grant/Contract Number:
- AC52-07NA27344
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Computational Mechanics
- Additional Journal Information:
- Journal Volume: 58; Journal Issue: 1; Journal ID: ISSN 0178-7675
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES; 36 MATERIALS SCIENCE; Anisotropic elasticity; Anisotropic plasticity; Large deformations; Plasticity; Thermomechanical; Viscoplasticity
Citation Formats
Rubin, M. B., Vorobiev, O., and Vitali, E. A thermomechanical anisotropic model for shock loading of elastic-plastic and elastic-viscoplastic materials with application to jointed rock. United States: N. p., 2016.
Web. doi:10.1007/s00466-016-1284-0.
Rubin, M. B., Vorobiev, O., & Vitali, E. A thermomechanical anisotropic model for shock loading of elastic-plastic and elastic-viscoplastic materials with application to jointed rock. United States. https://doi.org/10.1007/s00466-016-1284-0
Rubin, M. B., Vorobiev, O., and Vitali, E. Thu .
"A thermomechanical anisotropic model for shock loading of elastic-plastic and elastic-viscoplastic materials with application to jointed rock". United States. https://doi.org/10.1007/s00466-016-1284-0. https://www.osti.gov/servlets/purl/1375299.
@article{osti_1375299,
title = {A thermomechanical anisotropic model for shock loading of elastic-plastic and elastic-viscoplastic materials with application to jointed rock},
author = {Rubin, M. B. and Vorobiev, O. and Vitali, E.},
abstractNote = {Here, a large deformation thermomechanical model is developed for shock loading of a material that can exhibit elastic and inelastic anisotropy. Use is made of evolution equations for a triad of microstructural vectors mi(i=1,2,3) which model elastic deformations and directions of anisotropy. Specific constitutive equations are presented for a material with orthotropic elastic response. The rate of inelasticity depends on an orthotropic yield function that can be used to model weak fault planes with failure in shear and which exhibits a smooth transition to isotropic response at high compression. Moreover, a robust, strongly objective numerical algorithm is proposed for both rate-independent and rate-dependent response. The predictions of the continuum model are examined by comparison with exact steady-state solutions. Also, the constitutive equations are used to obtain a simplified continuum model of jointed rock which is compared with high fidelity numerical solutions that model a persistent system of joints explicitly in the rock medium.},
doi = {10.1007/s00466-016-1284-0},
journal = {Computational Mechanics},
number = 1,
volume = 58,
place = {United States},
year = {Thu Apr 21 00:00:00 EDT 2016},
month = {Thu Apr 21 00:00:00 EDT 2016}
}
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Works referencing / citing this record:
A thermomechanical anisotropic continuum model for geological materials with multiple joint sets: A thermomechanical anisotropic continuum model for geological materials with multiple joint sets
journal, May 2018
- Vorobiev, O. Yu.; Rubin, M. B.
- International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 42, Issue 12
A new approach to modeling the thermomechanical, orthotropic, elastic-inelastic response of soft materials
journal, December 2018
- Rubin, M. B.
- Mechanics of Soft Materials, Vol. 1, Issue 1