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Gaussian process emulation for rapid in-plane mechanical homogenization of periodic masonry
Numerical homogenization strategies can provide average mechanical responses, either in stress or coupled-stress quantities, which include many phenomenological features. Nonetheless, a direct application of numerical homogenization in sensitivity analysis in which uncertainty is propagated becomes...
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| Main Authors: | , , |
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| Format: | Default Conference proceeding |
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2022
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| Online Access: | https://hdl.handle.net/2134/22644433.v1 |
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| _version_ | 1822174254975680512 |
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| author | Luis C.M. da Silva Andre Jesus Gabriele Milani |
| author_facet | Luis C.M. da Silva Andre Jesus Gabriele Milani |
| author_sort | Luis C.M. da Silva (15314083) |
| collection | Figshare |
| description | Numerical homogenization strategies can provide average mechanical responses, either in stress or coupled-stress quantities, which include many phenomenological features. Nonetheless, a direct application of numerical homogenization in sensitivity analysis in which uncertainty is propagated becomes impractical, as hundreds or thousands of simulations are conventionally required. In this study, a reliable and rapid predictive surrogate model is developed aiming to characterize the homogenized response of masonry. The case of English-bond arrangement is addressed, and the following steps are considered: (1) creation of a synthetic database through numerical homogenization based on a Finite-Element method, generated by randomization of model parameters; (2) training of a nonlinear Gaussian process; and (3) approximation of homogenized stress-strain curves for a masonry wall and for both linear and nonlinear ranges. The performance of the proposed technique is evaluated using training-validation-test in terms of computational accuracy. Results indicate that computational time is lessened 1200% while relative errors remain below 5-10%. |
| format | Default Conference proceeding |
| id | rr-article-22644433 |
| institution | Loughborough University |
| publishDate | 2022 |
| record_format | Figshare |
| spelling | rr-article-226444332022-03-17T00:00:00Z Gaussian process emulation for rapid in-plane mechanical homogenization of periodic masonry Luis C.M. da Silva (15314083) Andre Jesus (12381421) Gabriele Milani (15314085) Masonry Homogenization Gaussian Process Surrogate Modelling <p>Numerical homogenization strategies can provide average mechanical responses, either in stress or coupled-stress quantities, which include many phenomenological features. Nonetheless, a direct application of numerical homogenization in sensitivity analysis in which uncertainty is propagated becomes impractical, as hundreds or thousands of simulations are conventionally required. In this study, a reliable and rapid predictive surrogate model is developed aiming to characterize the homogenized response of masonry. The case of English-bond arrangement is addressed, and the following steps are considered: (1) creation of a synthetic database through numerical homogenization based on a Finite-Element method, generated by randomization of model parameters; (2) training of a nonlinear Gaussian process; and (3) approximation of homogenized stress-strain curves for a masonry wall and for both linear and nonlinear ranges. The performance of the proposed technique is evaluated using training-validation-test in terms of computational accuracy. Results indicate that computational time is lessened 1200% while relative errors remain below 5-10%.</p> 2022-03-17T00:00:00Z Text Conference contribution 2134/22644433.v1 https://figshare.com/articles/conference_contribution/Gaussian_process_emulation_for_rapid_in-plane_mechanical_homogenization_of_periodic_masonry/22644433 CC BY 3.0 |
| spellingShingle | Masonry Homogenization Gaussian Process Surrogate Modelling Luis C.M. da Silva Andre Jesus Gabriele Milani Gaussian process emulation for rapid in-plane mechanical homogenization of periodic masonry |
| title | Gaussian process emulation for rapid in-plane mechanical homogenization of periodic masonry |
| title_full | Gaussian process emulation for rapid in-plane mechanical homogenization of periodic masonry |
| title_fullStr | Gaussian process emulation for rapid in-plane mechanical homogenization of periodic masonry |
| title_full_unstemmed | Gaussian process emulation for rapid in-plane mechanical homogenization of periodic masonry |
| title_short | Gaussian process emulation for rapid in-plane mechanical homogenization of periodic masonry |
| title_sort | gaussian process emulation for rapid in-plane mechanical homogenization of periodic masonry |
| topic | Masonry Homogenization Gaussian Process Surrogate Modelling |
| url | https://hdl.handle.net/2134/22644433.v1 |