Uncertainty quantification for random fields estimated from effective moduli of elasticity
The stochastic finite element method is a useful tool to calculate the response of systems subject to uncertain parameters and has been applied extensively to analyse structures composed of randomly heterogeneous materials. The methodology to estimate the parameters of the random field underlying a...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
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2018
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| Online Access: | https://eprints.nottingham.ac.uk/52773/ |
| _version_ | 1848798806342107136 |
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| author | Pierce-Brown, Jack Neves, Luis C. Brown, Donald L. |
| author_facet | Pierce-Brown, Jack Neves, Luis C. Brown, Donald L. |
| author_sort | Pierce-Brown, Jack |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | The stochastic finite element method is a useful tool to calculate the response of systems subject to uncertain parameters and has been applied extensively to analyse structures composed of randomly heterogeneous materials. The methodology to estimate the parameters of the random field underlying a stochastic finite element model often utilises the midpoint approximation wherein material properties that are measured over a sample volume are treated as point observations of the random field at the centroid of the sample volume. This paper investigates the error induced by this approximation for the case of effective moduli of elasticity resulting from tensile loading as well as 3 and 4-point bending. A computer experiment has been performed consisting of the generation of synthetic stiffness profiles from a lognormal stochastic process, the calculation of effective properties as weighted harmonic averages and the estimation of random field parameters through the method of moments. The uncertainty in the parameter estimates is quantified and a recommendation is made as to which bending test is superior for obtaining random field parameter estimates with reference to the statistics of the base process and the tensile loading condition. |
| first_indexed | 2025-11-14T20:25:37Z |
| format | Conference or Workshop Item |
| id | nottingham-52773 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:25:37Z |
| publishDate | 2018 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-527732020-05-04T19:46:34Z https://eprints.nottingham.ac.uk/52773/ Uncertainty quantification for random fields estimated from effective moduli of elasticity Pierce-Brown, Jack Neves, Luis C. Brown, Donald L. The stochastic finite element method is a useful tool to calculate the response of systems subject to uncertain parameters and has been applied extensively to analyse structures composed of randomly heterogeneous materials. The methodology to estimate the parameters of the random field underlying a stochastic finite element model often utilises the midpoint approximation wherein material properties that are measured over a sample volume are treated as point observations of the random field at the centroid of the sample volume. This paper investigates the error induced by this approximation for the case of effective moduli of elasticity resulting from tensile loading as well as 3 and 4-point bending. A computer experiment has been performed consisting of the generation of synthetic stiffness profiles from a lognormal stochastic process, the calculation of effective properties as weighted harmonic averages and the estimation of random field parameters through the method of moments. The uncertainty in the parameter estimates is quantified and a recommendation is made as to which bending test is superior for obtaining random field parameter estimates with reference to the statistics of the base process and the tensile loading condition. 2018-07-16 Conference or Workshop Item PeerReviewed Pierce-Brown, Jack, Neves, Luis C. and Brown, Donald L. (2018) Uncertainty quantification for random fields estimated from effective moduli of elasticity. In: 8th International Workshop on Reliable Computing "Computing with Confidence", 16-18 July 2018, University of Liverpool, Liverpool, UK. Uncertainty Quantification Effective Elastic Modulus Midpoint Approximation Random Field Theory Stochastic Finite Element Method |
| spellingShingle | Uncertainty Quantification Effective Elastic Modulus Midpoint Approximation Random Field Theory Stochastic Finite Element Method Pierce-Brown, Jack Neves, Luis C. Brown, Donald L. Uncertainty quantification for random fields estimated from effective moduli of elasticity |
| title | Uncertainty quantification for random fields estimated from effective moduli of elasticity |
| title_full | Uncertainty quantification for random fields estimated from effective moduli of elasticity |
| title_fullStr | Uncertainty quantification for random fields estimated from effective moduli of elasticity |
| title_full_unstemmed | Uncertainty quantification for random fields estimated from effective moduli of elasticity |
| title_short | Uncertainty quantification for random fields estimated from effective moduli of elasticity |
| title_sort | uncertainty quantification for random fields estimated from effective moduli of elasticity |
| topic | Uncertainty Quantification Effective Elastic Modulus Midpoint Approximation Random Field Theory Stochastic Finite Element Method |
| url | https://eprints.nottingham.ac.uk/52773/ |