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Title: An elastic-plastic constitutive relation for transverse-isotropic three-phase earth materials
Authors: Soils and Pavements Laboratory (U.S.)
United States. Assistant Secretary of the Army (R & D)
Baladi, George Y.
Keywords: Anisotropy
Saturated soils
Constitutive models
Stress-strain relations
Elastic media
Three-phase media
Elastic plastic behavior
Transverse-isotropic materials
Soil mechanics
Publisher: Geotechnical Laboratory (U.S.)
Engineer Research and Development Center (U.S.)
Series/Report no.: Miscellaneous Paper (U.S. Army Engineer Waterways Experiment Station) ; S-78-14
Description: Miscellaneous Paper
Abstract: This report documents the development of a three-dimensional, elastic-plastic work-hardening constitutive model for transverse-isotropic three-phase earth materials. This model can be used to perform effective stress analyses for boundary value problems involving fully- or partially-saturated earth materials. Within the elastic range, the model contains three dimensionless parameters and two response functions. Within the plastic range, on the other hand, it contains three dimensionless parameters and three potential functions. It is shown that the numerical values of the dimensionless elastic and plastic parameters as well as the values of the coefficients in the response and potential functions can be determined experimentally using essentially conventional laboratory testing techniques. It is also shown that the model readily reduces to its isotropic counterpart without any changes in its basic mathematical functions. The model is capable of simulating the drained and undrained behavior of typical earth materials subjected to both spherical and deviatoric states of stress. For undrained applications, it predicts the effective stresses as well as the pore pressure. To demonstrate these features (qualitatively), the model is examined under simulated drained and undrained triaxial test conditions. In addition, the general method for obtaining the effective stress, the pore pressure, and the total material response of a three-phase system subjected to a given total stress path is outlined.
Gov't Doc #: Miscellaneous Paper S-78-14
Rights: Approved for public release; distribution is unlimited.
Appears in Collections:Miscellaneous Paper

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