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Dynamic triaxial constitutive model for rock subjected to initial stress

Dynamic triaxial constitutive model for rock subjected to initial stress AbstractBuilding on the existing model, an improved constitutive model for rock is proposed and extended in three dimensions. The model can avoid the defect of non-zero dynamic stress at the beginning of impact loading, and the number of parameters is in a suitable range. The three-dimensional expansion method of the component combination model is similar to that of the Hooke spring, which is easy to operate and understand. For the determination of model parameters, the shared parameter estimation method based on the Levenberg–Marquardt and the Universal Global Optimization algorithm is used, which can be well applied to models with parameters that do not change with confinement and strain rates. According to the established dynamic constitutive equation, the stress–strain curve of rock under the coupling action of the initial hydrostatic pressure load and constant strain-rate impact load can be estimated theoretically. By comparing the theoretical curve with the test data, it is shown that the dynamic constitutive model is suitable for the rock under the initial pressure and impact load. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Physics de Gruyter

Dynamic triaxial constitutive model for rock subjected to initial stress

Li, Junzhe; Zhang, Guang; Liu, Mingze; Hu, Shaohua; Zhou, Xinlong
Open Physics , Volume 18 (1): 15 – May 24, 2020
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Publisher
de Gruyter
Copyright
© 2020 Junzhe Li et al., published by De Gruyter
ISSN
2391-5471
eISSN
2391-5471
DOI
10.1515/phys-2020-0014
Publisher site
See Article on Publisher Site

Abstract

AbstractBuilding on the existing model, an improved constitutive model for rock is proposed and extended in three dimensions. The model can avoid the defect of non-zero dynamic stress at the beginning of impact loading, and the number of parameters is in a suitable range. The three-dimensional expansion method of the component combination model is similar to that of the Hooke spring, which is easy to operate and understand. For the determination of model parameters, the shared parameter estimation method based on the Levenberg–Marquardt and the Universal Global Optimization algorithm is used, which can be well applied to models with parameters that do not change with confinement and strain rates. According to the established dynamic constitutive equation, the stress–strain curve of rock under the coupling action of the initial hydrostatic pressure load and constant strain-rate impact load can be estimated theoretically. By comparing the theoretical curve with the test data, it is shown that the dynamic constitutive model is suitable for the rock under the initial pressure and impact load.

Journal

Open Physics – de Gruyter

Published: May 24, 2020

References

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  • Study on shale’s dynamic damage constitutive model based on statistical distribution
  • Instability leading to coal bumps and nonlinear evolutionary mechanisms for a coal-pillar-and-roof system
  • Continuum modelling of explosive fracture in oil shale
  • SHPB tests and dynamic constitutive model of artificial frozen sandy clay under confining pressure and temperature state
  • A damage constitutive model for intermittent jointed rocks under cyclic uniaxial compression
  • Damage measurements
  • Damage constitutive model for strain-softening rock based on normal distribution and its parameter determination
  • Split hopkinson pressure bar test and numerical analysis of salt rock under confining pressure and temperature
  • A statistical meso-damage mechanical method for modeling trans-scale progressive failure process of rock
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  • An anisotropic theory of elasticity for continuum damage mechanics
  • Study of damage statistical strength criterion of rock considering the effect of freezing and thawing
  • A nonlinear theory of viscoelasticity for application to elastomers
  • Research on damage viscoelastic dynamic constitutive model of soft rock and concrete materials