Simultaneous identification of the parameters in the plasticity function for power hardening materials : A Bayesian approach

Fuente: arXiv
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Main Authors: Tatar, Salih, BenSalah, Mohamed
Format: Preprint
Published: 2024
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author Tatar, Salih
BenSalah, Mohamed
author_facet Tatar, Salih
BenSalah, Mohamed
contents In this paper, we study simultaneous determination of the strain hardening exponent, the shear modulus and the yield stress in an inverse problem. First, we analyze the direct and the inverse problems. Then we formulate the inverse problem in the Bayesian framework. After solving the direct problem by an iterative approach, we propose a numerical method based on a Bayesian approach for the numerical solution of the inverse problem. Numerical examples with noisy data illustrate applicability and accuracy of the proposed method to some extent.\
format Preprint
id arxiv_https___arxiv_org_abs_2412_05241
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Simultaneous identification of the parameters in the plasticity function for power hardening materials : A Bayesian approach
Tatar, Salih
BenSalah, Mohamed
Numerical Analysis
Analysis of PDEs
In this paper, we study simultaneous determination of the strain hardening exponent, the shear modulus and the yield stress in an inverse problem. First, we analyze the direct and the inverse problems. Then we formulate the inverse problem in the Bayesian framework. After solving the direct problem by an iterative approach, we propose a numerical method based on a Bayesian approach for the numerical solution of the inverse problem. Numerical examples with noisy data illustrate applicability and accuracy of the proposed method to some extent.\
title Simultaneous identification of the parameters in the plasticity function for power hardening materials : A Bayesian approach
topic Numerical Analysis
Analysis of PDEs
url https://arxiv.org/abs/2412.05241