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Title: A thermomechanical anisotropic model for shock loading of elastic-plastic and elastic-viscoplastic materials with application to jointed rock

Journal Article · · Computational Mechanics
 [1];  [2];  [2]
  1. Technion - Israel Institute of Technology, Haifa (Israel)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
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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.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1375299
Report Number(s):
LLNL-JRNL-678007
Journal Information:
Computational Mechanics, Vol. 58, Issue 1; ISSN 0178-7675
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

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Cited By (2)

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
A new approach to modeling the thermomechanical, orthotropic, elastic-inelastic response of soft materials journal December 2018

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Related Subjects

58 GEOSCIENCES
36 MATERIALS SCIENCE
Anisotropic elasticity
Anisotropic plasticity
Large deformations
Plasticity
Thermomechanical
Viscoplasticity