AutoMat: automatic differentiation for generalized standard materials on GPUs
- We propose a universal method for the evaluation of generalized standard materials that greatly simplifies the material law implementation process. By means of automatic differentiation and a numerical integration scheme, AutoMat reduces the implementation effort to two potential functions. By moving AutoMat to the GPU, we close the performance gap to conventional evaluation routines and demonstrate in detail that the expression level reverse mode of automatic differentiation as well as its extension to second order derivatives can be applied inside CUDA kernels. We underline the effectiveness and the applicability of AutoMat by integrating it into the FFT-based homogenization scheme of Moulinec and Suquet and discuss the benefits of using AutoMat with respect to runtime and solution accuracy for an elasto-viscoplastic example.
| Author: | Johannes BlühdornORCiD, Nicolas R. GaugerORCiD, Matthias KabelORCiD |
|---|---|
| URN: | urn:nbn:de:hbz:386-kluedo-78182 |
| DOI: | https://doi.org/10.1007/s00466-021-02105-2 |
| ISSN: | 1432-0924 |
| Parent Title (English): | Computational Mechanics |
| Publisher: | Springer Nature - Springer |
| Document Type: | Article |
| Language of publication: | English |
| Date of Publication (online): | 2024/03/15 |
| Year of first Publication: | 2021 |
| Publishing Institution: | Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau |
| Date of the Publication (Server): | 2024/03/15 |
| Issue: | 69 |
| Page Number: | 25 |
| First Page: | 589 |
| Last Page: | 613 |
| Source: | https://link.springer.com/article/10.1007/s00466-021-02105-2 |
| Faculties / Organisational entities: | Kaiserslautern - Fachbereich Informatik |
| DDC-Cassification: | 0 Allgemeines, Informatik, Informationswissenschaft / 004 Informatik |
| Collections: | Open-Access-Publikationsfonds |
| Licence (German): | Zweitveröffentlichung |