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Isotropic compression of a sand

By: Majtenyi, Steven Istvan.
Publisher: USA Springer 2023Edition: Vol.53(1), Feb.Description: 220-226p.Subject(s): Civil EngineeringOnline resources: Click here In: Indian geotechnical journalSummary: The main objective of this investigation is to establish a density-isotropic-stress functional relationship suitable for use in dynamic balance equations describing and interpreting pressure wave propagation in a dry, quartzite sand. The proposed relationship is applicable in the downstream part of the state-of-the-art hydrodynamic zone created by an underground explosion of a high-yield conventional explosive or a nuclear device. This is a transition zone between the seismic zone and a location within the state-of-the-art hydrodynamic zone where the material behavior under high isotropic stresses becomes completely independent of the initial conditions. In terms of stresses, the transition zone extends from the range of 7–10 MPa to the range of 150–200 MPa depending on material properties. The available laboratory test data strongly support the developed relationship. Observing the trend of the material’s behavior in the tested range allowed extending the proposed relationship into the region of untested higher stresses. The special properties of the stress-dependent reading error distribution permitted using Lagrange’s Undetermined Multipliers to develop an excellent correlation between the theoretical curve and the experimental data. The upper boundary of the applicability of the proposed relationship will require additional studies.
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Not for loan 2023-1326
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The main objective of this investigation is to establish a density-isotropic-stress functional relationship suitable for use in dynamic balance equations describing and interpreting pressure wave propagation in a dry, quartzite sand. The proposed relationship is applicable in the downstream part of the state-of-the-art hydrodynamic zone created by an underground explosion of a high-yield conventional explosive or a nuclear device. This is a transition zone between the seismic zone and a location within the state-of-the-art hydrodynamic zone where the material behavior under high isotropic stresses becomes completely independent of the initial conditions. In terms of stresses, the transition zone extends from the range of 7–10 MPa to the range of 150–200 MPa depending on material properties. The available laboratory test data strongly support the developed relationship. Observing the trend of the material’s behavior in the tested range allowed extending the proposed relationship into the region of untested higher stresses. The special properties of the stress-dependent reading error distribution permitted using Lagrange’s Undetermined Multipliers to develop an excellent correlation between the theoretical curve and the experimental data. The upper boundary of the applicability of the proposed relationship will require additional studies.

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