A deterministic filter for estimation of parameters describing inelastic heterogeneous media

Hermann G. Matthies*, Bojana V. Rosić

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

We present a new, fully deterministic method to compute the updates for parameter estimates of quasi-static plasticity with combined kinematic and isotropic hardening from noisy measurements. The materials describing the elastic (reversible) and/or inelastic (irreversible) behaviour have an uncertain structure which further influences the uncertainty in the parameters such as bulk and shear modulus, hardening characteristics, etc. Due to this we formulate the problem as one of stochastic plasticity and try to identify parameters with the help of measurement data. However, in this setup the inverse problem is regarded as ill-posed and one has to apply some of regularisation techniques in order to ensure the existence, uniqueness and stability of the solution. Providing the apriori information next to the measurement data, we regularize the problem in a Bayesian setting which further allow us to identify the unknown parameters in a pure deterministic, algebraic manner via minimum variance estimator. The new approach has shown to be effective and reliable in comparison to most methods which take the form of integrals over the posterior and compute them by sampling, e.g. Markov chain Monte Carlo (MCMC).

Original languageEnglish
Title of host publicationComputational Plasticity XI - Fundamentals and Applications, COMPLAS XI
EditorsEugenio Oñate
Place of PublicationBarcelona
PublisherCIMNE
Pages410-421
Number of pages12
ISBN (Print)9788489925731
Publication statusPublished - 1 Dec 2011
Externally publishedYes
Event11th International Conference on Computational Plasticity, COMPLAS 2011 - Barcelona, Spain
Duration: 7 Sep 20119 Sep 2011
Conference number: 11

Conference

Conference11th International Conference on Computational Plasticity, COMPLAS 2011
Abbreviated titleCOMPLAS
CountrySpain
CityBarcelona
Period7/09/119/09/11

Keywords

  • Bayesian linear estimation
  • Stochastic plasticity
  • Uncertainty updating

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