G. Meschke, CONSIDERATION OF AGING OF SHOTCRETE IN THE CONTEXT OF A 3-D VISCOPLASTIC MATERIAL MODEL, International journal for numerical methods in engineering, 39(18), 1996, pp. 3123-3143
The structure of the classical theory of viscoplasticity and its algor
ithmic formulation in the context of an operator split scheme is exten
ded to account for the effect of aging. Within this framework, a 3-D m
ultisurface constitutive model for shotcrete is proposed. A rotating-c
rack model based on the Rankine criterion is adopted in conjunction wi
th a Drucker-Prager yield criterion for describing the mechanical beha
viour of young concrete in the compressive regime. The model is suitab
le for the representation of the time-dependent behaviour of shotcrete
including creep and the time dependence of strength and stiffness. A
computationally effective return mapping scheme is achieved by formula
ting the material model in terms of the principal directions and trans
forming the obtained relations to global axes. Linearization of the re
turn mapping algorithm yields the algorithmic tangent moduli.