Efficient thermo-viscoplastic analysis using a multi-level hp-Finite Cell Method with non-negative moment fitting
Finite Elements in Analysis and Design, vol. 262, pp. 104655
Abstract
An extension of the multi-level h p -Finite Cell Method is proposed for the simulation of thermo-viscoplastic problems with temperature-dependent material behavior. The approach combines hierarchical adaptive refinement with a non-negative moment fitting (NNMF) quadrature scheme for efficient and robust integration of non-linear, history-dependent constitutive models on cut cells. The NNMF formulation yields sparse, positive quadrature rules that significantly reduce the number of integration points while maintaining stability and accuracy. An error-indicator-driven h -refinement strategy enables localized resolution of pronounced solution gradients through successive adaptive refinement cycles. The framework is implemented within a partitioned thermo-mechanical scheme that accounts for temperature-dependent mechanical behavior while restricting the thermal model to stationary heat conduction and neglecting heat generation due to inelastic dissipation. The methodology is evaluated on benchmark and application-oriented examples. The results demonstrate improved accuracy and substantial computational savings compared to the established adaptive space-tree integration.
Authors 3
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Jan Niklas Schmäke corresponding
Hochschule Düsseldorf University of Applied Sciences
Affiliation as printed
Düsseldorf University of Applied Sciences, Münsterstr. 156, 40476 Düsseldorf, Germany
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Affiliation as printed
Chair for Computational Analysis of Technical Systems (CATS), RWTH Aachen University, Schinkelstraße 2, 52056, Aachen, Germany
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Martin Ruess corresponding
Brandenburg University of Technology Cottbus-Senftenberg · Hochschule Düsseldorf University of Applied Sciences
Affiliation as printed
Computer-Aided Methods in Civil Engineering, Brandenburg University of Technology Cottbus-Senftenberg, Konrad-Wachsmann-Allee 2, 03046 Cottbus, Germany
Düsseldorf University of Applied Sciences, Münsterstr. 156, 40476 Düsseldorf, Germany