{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T15:40:51Z","timestamp":1725637251396},"reference-count":0,"publisher":"Materials Research Forum LLC","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023,5,25]]},"abstract":"<jats:p>Abstract. The training of an Artificial Neural Network (ANN) for implicit constitutive modelling mostly relies on labelled data pairs, however, some variables cannot be physically measured in real experiments. As such, the training should preferably be carried out indirectly, making use of experimentally measurable variables. The unconstrained training of an ANN\u2019s parameters often leads to spurious responses that do not comply with the physics of the problem. Applying constraints during training ensures not only the physical meaning of the ANN predictions but also potentially increases the convergence to a global minimum, while improving the model\u2019s performance. An ANN material model is trained using a novel indirect approach, where the local and global equilibrium conditions are ensured employing the Virtual Fields Method (VFM). An example of physical constraint is analyzed and applied during the training process. <\/jats:p>","DOI":"10.21741\/9781644902479-125","type":"proceedings-article","created":{"date-parts":[[2023,4,13]],"date-time":"2023-04-13T14:51:20Z","timestamp":1681397480000},"page":"1143-1154","source":"Crossref","is-referenced-by-count":0,"title":["On the constraints and consistency in implicit constitutive modelling using ANNs and indirect training"],"prefix":"10.21741","volume":"28","author":[{"given":"R.","family":"LOUREN\u00c7O","sequence":"first","affiliation":[]}],"member":"9191","published-online":{"date-parts":[[2023,4,19]]},"event":{"name":"Material Forming","acronym":"ESAFORM"},"container-title":["Materials Research Proceedings"],"original-title":[],"deposited":{"date-parts":[[2023,4,13]],"date-time":"2023-04-13T14:52:22Z","timestamp":1681397542000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mrforum.com\/product\/9781644902479-125"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,4,19]]},"references-count":0,"URL":"https:\/\/doi.org\/10.21741\/9781644902479-125","relation":{},"ISSN":["2474-395X"],"issn-type":[{"type":"print","value":"2474-395X"}],"subject":[],"published":{"date-parts":[[2023,4,19]]}}}