P. Royis et T. Doanh, THEORETICAL-ANALYSIS OF STRAIN RESPONSE ENVELOPES USING INCREMENTALLYNONLINEAR CONSTITUTIVE-EQUATIONS, International journal for numerical and analytical methods in geomechanics, 22(2), 1998, pp. 97-132
This paper reviews some incrementally non-linear constitutive equation
s of interpolation type, and proposes a new approach to illustrate the
discrepancies between different interpolation models. This approach u
ses the strain response envelopes, based on experimental data when res
tricted to triaxial plane, and the Jacobian of the constitutive equati
ons to examine the loss of uniqueness. A new family of interpolation f
unctions is proposed to meet the three requirements: C-1-continuity of
strain response envelope, correct description of experimental data, a
nd respect of the one-to-one property. (C) 1998 by John Wiley & Sons,
Ltd.