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Title: Some theoretical and experimental implications of constant shear modulus constitutive models
Authors: United States. Defense Nuclear Agency
Rohani, Behzad
Jackson, J. G. (John Guy)
Keywords: Constitutive models
Shear modulus
Stress-strain relations
Soil mechanics
Plastic properties
Mathematical models
Numerical models
Publisher: U.S. Army Engineer Waterways Experiment Station.
Engineer Research and Development Center (U.S.)
Description: Miscellaneous Paper
Abstract: Some of the theoretical and experimental implications of isotropic incremental elastic-plastic constitutive models formulated with constant values for the shear modulus G are examined. Two types of constant G models are considered, i.e. a single constant value of G for loading and unloading and two separate values of G, one for loading and one for unloading. These material property specifications are successively coupled with four increasingly more realistic idealized stress-strain relations representing constrained modulus M functions obtained for a state of uniaxial strain and a von Mises-type limiting shear envelope characteristic of that specified for the classical Prandtl-Reuss material. The resulting models are used to calculate mean normal stress or pressure versus volumetric strain and uniaxial strain principal stress difference versus pressure relations for qualitative comparison with observed test phenomena. The results from this simple examination of several highly idealized material descriptions indicate that many of the behavior characteristics of real earth materials often recorded during laboratory tests can be simulated, at least qualitatively, by elastic-plastic constitutive models of the constant G type by observing certain restrictions on the material property parameters G and M. Other characteristic phenomena, however, cannot be mirrored with these types of models under any circumstances. The constitutive equations of a classical Prandtl-Reuss material and the behavior of this ideal model for conditions of uniaxial strain are included in an appendix for reference and informational purposes.
Rights: Approved for public release; distribution is unlimited.
Appears in Collections:Miscellaneous Paper

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