Natural SciencesMaterials EngineeringMaterials ScienceComputational Materials ScienceFinite Element AnalysisMechanical Behavior Of MaterialsComputational ThermomechanicsConstitutive ModelingMechanical CharacterizationSolid Mechanics ApplicationsStrain AnalysisStress-strain BehaviorAccuracyFinite Element ModelingFinite Element SimulationMaterial Constitutive ModelingStress-strain AnalysisStress-strain CurveStress-strain RelationsStress-strain Relationships
Accurate constitutive relationships are essential for reliable finite element simulations that inform process design and optimization. The authors collected true stress–strain data of Inconel 718 from isothermal compression tests across 1153–1353 K and 0.01–10 s⁻¹, trained a back‑propagation ANN to model the constitutive behavior, extended predictions beyond experimental conditions, and integrated the ANN into a finite element solver through the URPFLO subroutine. The ANN accurately captures Inconel 718 flow behavior, and its integration with finite element analysis markedly improves the accuracy of hot‑forming simulations.
The application of accurate constitutive relationship in finite element simulation would significantly contribute to accurate simulation results, which play critical roles in process design and optimization. In this investigation, the true stress-strain data of an Inconel 718 superalloy were obtained from a series of isothermal compression tests conducted in a wide temperature range of 1153–1353 K and strain rate range of 0.01–10 s−1 on a Gleeble 3500 testing machine (DSI, St. Paul, DE, USA). Then the constitutive relationship was modeled by an optimally-constructed and well-trained back-propagation artificial neural network (ANN). The evaluation of the ANN model revealed that it has admirable performance in characterizing and predicting the flow behaviors of Inconel 718 superalloy. Consequently, the developed ANN model was used to predict abundant stress-strain data beyond the limited experimental conditions and construct the continuous mapping relationship for temperature, strain rate, strain and stress. Finally, the constructed ANN was implanted in a finite element solver though the interface of “URPFLO” subroutine to simulate the isothermal compression tests. The results show that the integration of finite element method with ANN model can significantly promote the accuracy improvement of numerical simulations for hot forming processes.
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