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Geomechanics and Engineering Volume 15, Number 5, August10 2018 , pages 1071-1080 DOI: https://doi.org/10.12989/gae.2018.15.5.1071 |
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Determination of elastic parameters of the deformable solid bodies with respect to the Earth model |
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Hatam H. Guliyev, Rashid J. Javanshir and Gular H. Hasanova
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| Abstract | ||
| The study of behavior and values of deformations in the geological medium makes the scientific basis of the methodology of synthesis of true values of parameters of its physico-mechanical and density properties taking into account the influence of geodynamic impacts. The segments of continuous variation of homogeneous elastic uniform deformations are determined under overall compression of the medium. The limits of these segments are defined according to the criteria of instability (on geometric form changes and on \"internal\" instability). Analytical formulae are obtained to calculate current and limiting (critical) values of deformations within the framework of various variants of small and large initial deformations of the non-classically linearized approach of non-linear elastodynamics. The distribution of deformation becomes non-uniform in the medium while the limiting values of deformations are achieved. The proposed analytical formulae are applicable only within homogeneous distribution of deformations. Numerical experiments are carried out for various elastic potentials. It is found that various forms of instability can precede phase transitions and destruction. The influence of these deformation phenomena should be removed while the physico-mechanical and density parameters of the deformed media are determined. In particular, it is necessary to use the formulae proposed in this paper for this purpose. | ||
| Key Words | ||
| nonlinear elastodynamics; instability of the equilibrium state; elastic potentials; physico-mechanical and density parameters | ||
| Address | ||
| Hatam H. Guliyev and Gular H. Hasanova: Department of Tectonopysics and Geomechanics, Institute of Geology and Geophysics of Azerbaijan National Academy of Sciences (ANAS), Ave. H. Javid 119, Baku, AZ 1143 Azerbaijan Rashid J. Javanshir: Azerbaijan National Academy of Sciences, Str. Istiglaliyyat, 30, Baku, AZ 1001, Azerbaijan | ||