Finite Incremental Constitutive Equations for the SHRP Viscoplasticity Model

摘要

The paper presents the finite incremental constitutive equations for the Viscoplasticity Constitutive Model of Asphalt Concrete developed under the Strategic Highway Research Program (SHRP). The viscoplasticity model is highly non-linear and numerically stiff. The implicit method is not well suited for the implementation of this type of constitutive models; the explicit method requires very small time step and therefore is very expensive. A semi-implicit method using Taylor series expansion and first-order-derivative approximation was used to derive the finite incremental equations. The equations were in vector format and convenient for implementation.