Multiscale Modeling of Powder Bed Fusion Additive Manufacturing

Multiscale modeling of powder bed fusion (PBF) additive manufacturing integrates simulation techniques across hierarchical length and time scales to predict and optimise process outcomes. At the microscale, discrete element modelling captures powder spreading, packing density and particle interactions, revealing how powder characteristics influence layer uniformity and initial porosity. Meso­scale methods, such as computational fluid dynamics coupled with volume-of-fluid or lattice Boltzmann approaches, resolve melt pool dynamics, including capillary flow, Marangoni convection and recoil pressure, which govern melt-solidification pathways and pore formation. At the macroscale, finite element analysis simulates heat transfer, residual stress evolution and distortion in build geometries, guiding support design and process parameter selection. Recent advances have focused on adaptive resolution schemes—employing smoothed particle hydrodynamics or adaptive meshing—to reduce computational cost while preserving fidelity in regions of interest. Multiphysics coupling and data-driven accelerators, such as reduced-order models and machine-learning surrogates, are now converging to deliver real-time process control and digital twins for industrial PBF applications, from aerospace alloys to biomedical implants.

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Multiscale Modeling of Powder Bed Fusion Additive Manufacturing publication trend

The graph below shows the total number of articles in multiscale modeling of powder bed fusion additive manufacturing across all publications each year (not limited to Nature Index journals).

Technical terms

Powder bed fusion (PBF): An additive manufacturing process in which a heat source selectively fuses successive layers of powder to build a component.

Multiscale modeling: Simulation strategies that link phenomena across micro, meso and macro length scales to capture complex, coupled physical processes.

Discrete element method (DEM): A numerical approach for modelling the motion and interaction of individual particles under contact, friction and cohesion forces.

Smoothed particle hydrodynamics (SPH): A mesh-free, Lagrangian particle method for solving fluid-dynamic and solid-mechanics problems with evolving interfaces and phase changes.

Volume-of-Fluid (VoF): A surface-tracking technique in computational fluid dynamics used to model free-surface flows by reconstructing the fluid interface within cells.

Melt pool dynamics: The behaviour of the molten region generated by the heat source, governed by fluid flow, heat transfer and phase transitions that determine microstructure and defect formation.

Residual stress: Stresses locked into a component after cooling, which can cause distortion, cracking or performance degradation if not properly managed.

References

1. Review on modeling techniques for powder bed fusion processes based on physical principles. Additive Manufacturing (2021).
2. Multi-Resolution SPH Simulation of a Laser Powder Bed Fusion Additive Manufacturing Process. Applied Sciences (2021).
3. A numerical study of processing parameters and their effect on the melt-track profile in Laser Powder Bed Fusion processes. Additive Manufacturing (2023).