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

Petalas, Alexandros L.; Dafalias, Yannis F.

Abstract

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.

Citation

Petalas, A. L., & Dafalias, Y. F. (2019). Implicit integration of incrementally non-linear, zero- elastic range, bounding surface plasticity. Computers and Geotechnics, 112, 386-402. https://doi.org/10.1016/j.compgeo.2019.04.009

• Journal Article Type: Article
• Acceptance Date: Apr 8, 2019
• Online Publication Date: May 14, 2019
• Publication Date: 2019-08
• Deposit Date: Jun 15, 2022
• Journal: Computers and Geotechnics
• Print ISSN: 0266-352X
• Electronic ISSN: 1873-7633
• Publisher: Elsevier
• Volume: 112
• Pages: 386-402
• DOI: https://doi.org/10.1016/j.compgeo.2019.04.009
• Public URL: https://durham-repository.worktribe.com/output/1200871