COMPLAS 2023

Efficient Surrogate Models for Microstructured Materials based on Interaction-based Material Networks

  • Nguyen, Van-Dung (University of Liège)
  • Noels, Ludovic (University of Liège)

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A material network consists of discrete material nodes whose interactions are defined by data-driven approaches. In this work, we investigate the concept of material networks from the viewpoint of network interactions, leading to interaction-based material networks [1,2]. The developed material networks can represent complex non-linear microstructure responses at a reduced computational cost while ensuring thermodynamic consistency and extrapolation capabilities in terms of loading and phase behaviours. Instead of relying on the micromechanics of multiple-phase laminates as considered in the literature to define the interactions of the material nodes, we formulate the concept of material networks relying on constraining all requirements of a truly microscopic boundary value problem, including the stress and strain averaging principles and the Hill-Mandel energetically consistent condition. This approach is shown to be accurate and efficient for multiple-phase non-linear composites and for non-linear porous materials. REFERENCES [1] Nguyen, V. D., & Noels, L. (2022). Micromechanics-based material networks revisited from the interaction viewpoint; robust and efficient implementation for multi-phase composites. European Journal of Mechanics - A/Solids, 91, 104384. [2] Nguyen, V. D., & Noels, L. (2022). Interaction-based material network: A general framework for (porous) microstructured materials. Computer Methods in Applied Mechanics and Engineering, 389, 114300.