Some Theoretical and Experimental Implications of Constant Shear Modulus Constitutive Models
ARMY ENGINEER WATERWAYS EXPERIMENT STATION VICKSBURG MS
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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 axial 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 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.
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