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The problem of mechanical instability of loose sand specimens during drained load controlled triaxial compression tests (creep tests) is discussed. In order to model mathematically such a phenomenon, a strain hardening elasto-visco-plastic constitutive model is extended so as to incorporate frictional strain-rate softening. The model is defined by a non-associated flow rule and by a Drucker–Prager-type yield surface which is equipped with two state variables, r and a. Variable r accounts for shear strain-induced anisotropy, while variable a accounts for volumetric strain hardening. The dynamic non-linearities of the strain response are discussed and theoretical predictions seem to reproduce experimental results quite well.

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