The LATIN-PGD methodology to nonlinear dynamics and quasi-brittle materials for future earthquake engineering applications
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910561574322176 |
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| author | Rodriguez, Sebastian Charbonnel, Pierre-Etienne Ladevèze, Pierre Néron, David |
| author_facet | Rodriguez, Sebastian Charbonnel, Pierre-Etienne Ladevèze, Pierre Néron, David |
| contents | This paper presents a first implementation of the LArge Time INcrement (LATIN) method along with the model reduction technique called Proper Generalized Decomposition (PGD) for solving nonlinear low-frequency dynamics problems when dealing with a quasi-brittle isotropic damage constitutive relations. The present paper uses the Time-Discontinuous Galerkin Method (TDGM) for computing the temporal contributions of the space-time separate-variables solution of the LATIN-PGD approach, which offers several advantages when considering a high number of DOFs in time. The efficiency of the method is tested for the case of a 3D bending beam, where results and benchmarks comparing LATIN-PGD to classical time-incremental Newmark/Quasi-Newton nonlinear solver are presented. This work represents a first step towards taking into account uncertainties and carrying out more complex parametric studies imposed by seismic risk assessment. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05108 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The LATIN-PGD methodology to nonlinear dynamics and quasi-brittle materials for future earthquake engineering applications Rodriguez, Sebastian Charbonnel, Pierre-Etienne Ladevèze, Pierre Néron, David Computational Engineering, Finance, and Science This paper presents a first implementation of the LArge Time INcrement (LATIN) method along with the model reduction technique called Proper Generalized Decomposition (PGD) for solving nonlinear low-frequency dynamics problems when dealing with a quasi-brittle isotropic damage constitutive relations. The present paper uses the Time-Discontinuous Galerkin Method (TDGM) for computing the temporal contributions of the space-time separate-variables solution of the LATIN-PGD approach, which offers several advantages when considering a high number of DOFs in time. The efficiency of the method is tested for the case of a 3D bending beam, where results and benchmarks comparing LATIN-PGD to classical time-incremental Newmark/Quasi-Newton nonlinear solver are presented. This work represents a first step towards taking into account uncertainties and carrying out more complex parametric studies imposed by seismic risk assessment. |
| title | The LATIN-PGD methodology to nonlinear dynamics and quasi-brittle materials for future earthquake engineering applications |
| topic | Computational Engineering, Finance, and Science |
| url | https://arxiv.org/abs/2408.05108 |