2023
DOI: 10.1016/j.euromechsol.2022.104805
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Plastic crack-tip fields under thermoplastic loads

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Cited by 3 publications
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“…Additionally, Cosmin Anitescu et al ingeniously connected fundamental boundary value problems (BVPs) to the loss function, utilizing deep neural networks (DNNs) as function approximators to address approximate PDEs. Their methodology leveraged mechanical system energy as the foundation for constructing the loss function, ultimately validating its efficacy across multiple engineering scenarios. The approach of relating the underlying BVP to the loss function is impressive, but for additive compounding experiments, general empirical formulas do not usually exist, which means it is difficult to express the problem in terms of a partial differential equation (PDE). The traditional method of lubricant design involves designing formulation parameters empirically, determining tribological properties through friction and wear experiments after preparation, and repeating the process until optimal ratios are found .…”
Section: Introductionmentioning
confidence: 99%
“…Additionally, Cosmin Anitescu et al ingeniously connected fundamental boundary value problems (BVPs) to the loss function, utilizing deep neural networks (DNNs) as function approximators to address approximate PDEs. Their methodology leveraged mechanical system energy as the foundation for constructing the loss function, ultimately validating its efficacy across multiple engineering scenarios. The approach of relating the underlying BVP to the loss function is impressive, but for additive compounding experiments, general empirical formulas do not usually exist, which means it is difficult to express the problem in terms of a partial differential equation (PDE). The traditional method of lubricant design involves designing formulation parameters empirically, determining tribological properties through friction and wear experiments after preparation, and repeating the process until optimal ratios are found .…”
Section: Introductionmentioning
confidence: 99%