Calibration of an elasto-plastic constitutive model by a constrained optimisation procedure

Cekerevac, C.; Girardin, S.; Klubertanz, G.; Laloui, Lyesse

doi:10.1016/j.compgeo.2006.07.009

Cited by 30 publications

(25 citation statements)

References 11 publications

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“…By that, the overall behavior of the soil is captured. Some researchers (e.g., [19,20]) have proposed several general formulations of objective functions for the calibration of elastoplastic soil models. However, these formulations are usually very complicated and usually require special searching algorithm and large computational effort for solutions.…”

Section: Mathematical Methodology For Model Parameters Identificationmentioning

confidence: 99%

“…Recently, some researchers developed various search algorithms for the calibration of elastoplastic soil models involving relatively large numbers of parameters such as the BBM (e.g., [19,20]). These algorithms are based on the minimization of a suitably defined objective function measuring the difference between model predictions and laboratory data.…”

Section: Introductionmentioning

confidence: 99%

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Using modified state surface approach to select parameter values in the Barcelona basic model

Zhou

Xiao

2012

Num Anal Meth Geomechanics

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The Barcelona basic model (BBM) successfully explained many key features of unsaturated soils and received extensive acceptance. It is also one of the few elastoplastic constitutive models for unsaturated soils that have been implemented within finite element codes and applied to the analysis of real boundary value problems. The BBM was proposed in incremental forms according to theories of soil plasticity in which individual aspects of the isotropic virgin behavior are controlled by multiple parameters, whereas at the same time, a single parameter controls more than one aspect of soil behavior. Although a variety of methods have been recently developed for calibrating model parameters for elastoplastic soil models, at present, there are no well-established, simple, and objective methods for selecting parameter values in the BBM from laboratory tests. This has been one of the major obstacles to the dissemination of this constitutive model beyond the research context. This article presents an optimization approach especially developed for simple and objective identification of material parameters in the BBM. This is achieved by combining a modified state surface approach, recently proposed to model the elastoplastic behavior of unsaturated soils under isotropic stress conditions, with the Newton or quasi-Newton method to simultaneously determine the five parameters governing isotropic virgin behavior in the BBM. The comparison between results using the proposed method and an existing method for the same laboratory tests was discussed from which the simplicity and objectivity of the proposed method were evaluated.1. Start with an initial guess X 1 (such as N[0] = 1.0, l[0] = 1.0, r = 1.0, b = 1.0 MPa -1 , and p c = 1.0 MPa, that is, X 1 = [1 1 1 1 1] T ) and a 5 Â 5 positive definite symmetric matrix (B 1 ) as an initial 1856 X. ZHANG AND M. XIAO

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Section: Mathematical Methodology For Model Parameters Identificationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Using modified state surface approach to select parameter values in the Barcelona basic model

Zhou

Xiao

2012

Num Anal Meth Geomechanics

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“…The model parameters identification has been the subject of several papers using different strategies such as constrained optimisation procedure (Cekerevac, Girardin, Klubertanz, & Laloui, 2006) or the definition of correlations (Hicher & Rahma, 1994). We have used the strategy developed at ECP, (Hicher, 2011;Lopez-Caballero, Modaressi-Farahmand-Razavi, & Elmi, 2003;Lopez-Caballero, Modaressi-Farahmand-Razavi, & Modaressi, 2007) and already applied to several materials (D'Aguiar et al, 2011;Gomes, 2013).…”

Section: European Journal Of Environmental and Civil Engineering 19mentioning

confidence: 99%

Constitutive model for granular materials considering grain breakage in finite deformations

Bom

Modaressi-Farahmand-Razavi

2014

European Journal of Environmental and Civil Engineering

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Soil is subjected to shear stress and/or displacements in numerous geotechnical applications. This leads to a large number of numerical models being developed to represent its behaviour under various stress paths. This paper aims to present a sound mechanical formulation for finite strains and to introduce a rational constitutive model to match realistically the behaviour of soil where, for a high range of deformations, strains localise and the phenomenon of grain breakage is usually observed in granular soil. The reference model is the ECP's constitutive model (also known as "Hujeux's model"), which is an elastoplastic multimechanism model. An overview is made of laboratory results and constitutive relations that consider finite deformation, and the grain breakage phenomenon that is usually associated with it in granular materials. The performance of the proposed constitutive model is demonstrated simulating constant volume ring shear tests carried out on Ottawa (OT) and Illinois River (IR) sands up to very high shear strains and comparison of the obtained results with laboratory testing data.

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“…Typically, statistical methods can be used to solve an inverse problem. The mixed formulation of genetic algorithms and NNs [15] or the stochastic approach [25] can be found in the literature. Recently, genetic algorithms have also been adapted to solve the model calibration problems, cf.…”

Section: Introductionmentioning

confidence: 99%

Optimization framework for calibration of constitutive models enhanced by neural networks

Obrzud

Vulliet

Truty

2008

Num Anal Meth Geomechanics

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SUMMARYA two-level procedure designed for the estimation of constitutive model parameters is presented in this paper. The neural network (NN) approach at the first level is applied to achieve the first approximation of parameters. This technique is used to avoid potential pitfalls related to the conventional gradient-based optimization techniques, considered here as a corrector that improves predicted parameters. The feedforward NN (FFNN) and the modified Gauss-Newton algorithms are briefly presented. The proposed framework is verified for the elasto-plastic modified Cam Clay model that can be calibrated based on standard triaxial laboratory tests, i.e. the isotropic consolidation test and the drained compression test. Two different formulations of the input data to the NN, enhanced by a dimensional reduction of experimental data using principal component analysis, are presented. The determination of model characteristics is demonstrated, first on numerical pseudo-experiments and then on the experimental data. The efficiency of the proposed approach by means of accuracy and computational effort is also discussed.

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Calibration of an elasto-plastic constitutive model by a constrained optimisation procedure

Cited by 30 publications

References 11 publications

Using modified state surface approach to select parameter values in the Barcelona basic model

Using modified state surface approach to select parameter values in the Barcelona basic model

Constitutive model for granular materials considering grain breakage in finite deformations

Optimization framework for calibration of constitutive models enhanced by neural networks

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