TY - JOUR

T1 - Inspection of two sophisticated models for sand based on generalized plasticity

T2 - Monotonic loading and Monte Carlo analysis

AU - Yeh, Fu Hsuan

AU - Tafili, Merita

AU - Prada-Sarmiento, Luis Felipe

AU - Ge, Louis

AU - Wichtmann, Torsten

N1 - Funding Information: Furthermore, the authors would like to acknowledge the financial support from the National Science and Technology Council (NSTC), Taiwan, R.O.C., and the German Academic Exchange Service (DAAD), Germany. The funding (NSTC‐DAAD Project‐Based Personnel Exchange Program) for the project titled “Monotonic and cyclic constitutive modeling on binary mixtures using a generalized plasticity model ‐ development, parameter calibration, and model validation” (project number 111‐2927‐I‐002‐510) is acknowledged. Their support has made this study and potential future investigations possible. Funding Information: Parts of this research were funded by the German Research Council (DFG) in the framework of the project TA 1696/1‐1, PR 2055/1‐1 and WI 3180/9‐1. The financial support by DFG is gratefully acknowledged herewith. Funding Information: Parts of this research were funded by the German Research Council (DFG) in the framework of the project TA 1696/1-1, PR 2055/1-1 and WI 3180/9-1. The financial support by DFG is gratefully acknowledged herewith. Furthermore, the authors would like to acknowledge the financial support from the National Science and Technology Council (NSTC), Taiwan, R.O.C., and the German Academic Exchange Service (DAAD), Germany. The funding (NSTC-DAAD Project-Based Personnel Exchange Program) for the project titled “Monotonic and cyclic constitutive modeling on binary mixtures using a generalized plasticity model - development, parameter calibration, and model validation” (project number 111-2927-I-002-510) is acknowledged. Their support has made this study and potential future investigations possible. Publisher Copyright: © 2022 The Authors. International Journal for Numerical and Analytical Methods in Geomechanics published by John Wiley & Sons Ltd.

PY - 2023/2/25

Y1 - 2023/2/25

N2 - The generalized plasticity theory has evolved in the last decades and attracts the attention of different research groups, because of characteristics like the absence of an explicit flow surface formulation. This paper presents a detailed inspection of two sophisticated constitutive models for granular soils under monotonic loading: the Pastor-Zienkiewicz-Chan (P-Z-C) model[1] and the Manzanal-Merodo-Pastor (M-M-P) model.[2] Even though they are similar in mathematical framework, the P-Z-C model requires only eight parameters compared to the M-M-P model which requires 18 parameters to describe the material behavior under monotonic loading. Parameters of both models were calibrated based on the extensive experimental database available for monotonic triaxial tests performed on Karlsruhe fine sand by Wichtmann et al.[3] An objective discussion addressing the strengths and weaknesses of each model is presented. Finally, a procedure to identify the most relevant parameters that control different elements in the model like the stiffness, the evolution of dilatancy or the hardening variables is introduced, using the Monte Carlo Toolbox (MCAT) for simulations. Some interesting inferences could be obtained, like the conclusion that the MCAT is a helpful tool for identifying material parameters and their interaction, but it cannot replace the human factor, the experience and objective judgement of the modeller for the calibration of constitutive models.

AB - The generalized plasticity theory has evolved in the last decades and attracts the attention of different research groups, because of characteristics like the absence of an explicit flow surface formulation. This paper presents a detailed inspection of two sophisticated constitutive models for granular soils under monotonic loading: the Pastor-Zienkiewicz-Chan (P-Z-C) model[1] and the Manzanal-Merodo-Pastor (M-M-P) model.[2] Even though they are similar in mathematical framework, the P-Z-C model requires only eight parameters compared to the M-M-P model which requires 18 parameters to describe the material behavior under monotonic loading. Parameters of both models were calibrated based on the extensive experimental database available for monotonic triaxial tests performed on Karlsruhe fine sand by Wichtmann et al.[3] An objective discussion addressing the strengths and weaknesses of each model is presented. Finally, a procedure to identify the most relevant parameters that control different elements in the model like the stiffness, the evolution of dilatancy or the hardening variables is introduced, using the Monte Carlo Toolbox (MCAT) for simulations. Some interesting inferences could be obtained, like the conclusion that the MCAT is a helpful tool for identifying material parameters and their interaction, but it cannot replace the human factor, the experience and objective judgement of the modeller for the calibration of constitutive models.

KW - generalized plasticity

KW - granular soils

KW - material parameters

KW - monotonic loading

KW - Monte Carlo toolbox

UR - http://www.scopus.com/inward/record.url?scp=85144051743&partnerID=8YFLogxK

U2 - 10.1002/nag.3476

DO - 10.1002/nag.3476

M3 - Journal article

AN - SCOPUS:85144051743

VL - 47

SP - 425

EP - 456

JO - International Journal for Numerical and Analytical Methods in Geomechanics

JF - International Journal for Numerical and Analytical Methods in Geomechanics

SN - 0363-9061

IS - 3

ER -