A THEORETICAL MODEL FOR THE RESPONSE OF POLYCRYSTALLINE AGGREGATES UNDER HOMOGENEOUS MACROSTRESS.
NORTH CAROLINA STATE UNIV RALEIGH
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An integro-differential equation for the elastic-plastic response of a general, macroscopically homogeneous aggregate at small strain is developed. The microstress-strain constitutive equations are based upon the elastic compliance matrices of the individual crystal grains and a model of continuous crystalline slip with the generalized Schmid-Taylor law of critical shear stresses on preferred slip planes expressed in terms of a strain-dependent hardening matrix. The corresponding theoretical model for analysis of aggregate behavior, under macroscopically homogeneous stress, is a further extension of Lins polycrystalline model for Taylor hardening of isotropic crystals and the writers equations for general hardening of an ordered aggregate. Consistent definitions of macrostrain rates and latent strain energy together with an exact proof of plastic strain rate normality are included. Author