TY - JOUR

T1 - Parameter identification in elasto-plasticity

T2 - distance between parameters and impact of measurement errors

AU - Shutov, Alexey V.

AU - Kaygorodtseva, Anastasia A.

PY - 2019/8

Y1 - 2019/8

N2 - A special aspect of parameter identification in finite-strain elasto-plasticity is considered. Namely, we analyze the impact of the measurement errors on the resulting set of material parameters. In order to define the sensitivity of parameters with respect to the measurement errors, a mechanics-based distance between two sets of parameters is introduced. Using this distance function, we assess the reliability of certain parameter identification procedures. The assessment involves introduction of artificial noise to the experimental data; the noise can be both correlated and uncorrelated. An analytical procedure to speed up Monte Carlo simulations is presented. As a result, a simple tool for estimating the robustness of parameter identification is obtained. The efficiency of the approach is illustrated using a model of finite-strain viscoplasticity, which accounts for combined isotropic and kinematic hardening. It is shown that dealing with correlated measurement errors, most stable identification results are obtained for non-diagonal weighting matrix. At the same time, there is a conflict between the stability and accuracy.

AB - A special aspect of parameter identification in finite-strain elasto-plasticity is considered. Namely, we analyze the impact of the measurement errors on the resulting set of material parameters. In order to define the sensitivity of parameters with respect to the measurement errors, a mechanics-based distance between two sets of parameters is introduced. Using this distance function, we assess the reliability of certain parameter identification procedures. The assessment involves introduction of artificial noise to the experimental data; the noise can be both correlated and uncorrelated. An analytical procedure to speed up Monte Carlo simulations is presented. As a result, a simple tool for estimating the robustness of parameter identification is obtained. The efficiency of the approach is illustrated using a model of finite-strain viscoplasticity, which accounts for combined isotropic and kinematic hardening. It is shown that dealing with correlated measurement errors, most stable identification results are obtained for non-diagonal weighting matrix. At the same time, there is a conflict between the stability and accuracy.

KW - 74C15

KW - 74D10

KW - 74E10

KW - 74P10

KW - distance between parameters

KW - finite strain

KW - isotropic and kinematic hardening

KW - measurement error

KW - parameter identification

KW - viscoplasticity

KW - CALIBRATION

KW - BEHAVIOR

KW - FINITE-STRAIN VISCOPLASTICITY

KW - SENSITIVITY

KW - SIMULATION

KW - VIRTUAL FIELDS METHOD

KW - ELEMENTS

KW - INTEGRATION

KW - INELASTIC CONSTITUTIVE MODELS

UR - http://www.scopus.com/inward/record.url?scp=85066464215&partnerID=8YFLogxK

U2 - 10.1002/zamm.201800340

DO - 10.1002/zamm.201800340

M3 - Article

AN - SCOPUS:85066464215

VL - 99

JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

SN - 0044-2267

IS - 8

M1 - 201800340

ER -