2025 · Journal Article · Peer-reviewed

Direct FE² for spark plasma sintering

A multiscale framework that embeds resolved microscale powder mechanics directly inside a macroscale electro-thermo-mechanical model — matching full finite element accuracy to within 1% while cutting computational cost by up to a factor of 70.

Ashwani Kumar, Z. Zhang, M. Afrasiabi, M. Bambach ETH Zürich · Advanced Manufacturing Lab

Direct FE² multiscale SPS simulation result

Project Overview

This project focuses on improving the simulation of spark plasma sintering (SPS), a key process in advanced materials manufacturing. Traditional finite element models either miss microscale powder interactions or become too computationally expensive. To address this, a Direct FE² multiscale framework was developed that directly integrates microscale powder behavior into macroscale electro-thermal-mechanical simulations.

Problem & Motivation

SPS involves complex electrical, thermal, and mechanical interactions across different scales. Existing models either treat powder as a continuum (ignoring particle-level detail) or use particle-based methods (accurate but computationally prohibitive). This gap made it difficult to simulate large-scale SPS with both accuracy and efficiency.

The gap: continuum models ignore particle-level detail; particle-based methods are accurate but computationally intractable at component scale. Neither could simulate large-scale SPS with both accuracy and efficiency.

Research Contributions

Technical Highlights

Results & Impact

The Direct FE² framework produced results nearly identical to full FE simulations while drastically lowering computational cost. It revealed how powder morphology, mesh scaling, and current intensity affect densification during SPS. The method makes it feasible to simulate realistic SPS geometries that were previously computationally intractable. This work advances multiscale modeling in materials processing and provides a foundation for future studies on non-spherical powders and complex geometries.

Publication Details

Journal: Journal of Manufacturing Processes

Year: 2025

DOI: 10.1016/j.jmapro.2025.07.006