Implicit integration of incrementally non-linear, zero- elastic range, bounding surface plasticity
Journal article, 2019

The zero elastic range, bounding surface plasticity framework is a suitable choice for modeling materials which exhibit zero purely elastic response during shearing. As a consequence of zero elastic range the plastic strain increment direction, and consequently the elastic-plastic moduli fourth order tensor depends on the direction of the stress increment, rendering the model incrementally non-linear. The system of ordinary differential equations of the elastic-plastic formulation is intrinsically implicit. Thus, an iterative algorithm based on the Backward Euler numerical integration method and the damped Newton-Raphson method with an adaptive trial step is proposed in this work. The proposed methodology is applied to the zero elastic range SANISAND-Z model for sands and a thorough verification is done for various applied strain histories. The proposed integration scheme allows the use of SANISAND-Z or any other bounding surface zero elastic range model in displacement-driven finite element analysis.

Bounding surface

Incrementally non-linear

Implicit integration


Alexandros Petalas

Chalmers, Architecture and Civil Engineering, GeoEngineering

Yannis F. Dafalias

National Technical University of Athens (NTUA)

Institute of Thermomechanics of the Academy of Sciences of the Czech Republic

University of California

Computers and Geotechnics

0266-352X (ISSN)

Vol. 112 386-402

Subject Categories

Applied Mechanics

Computational Mathematics

Control Engineering



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