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AI-Revealed Transition From Density- to Connectivity-Controlled Mechanics in Hierarchical Porous Materials
Milad Masrouri1,2, Federica Buccino3,4, Laura Maria Vergani3,4
1Department of Civil and Environmental Engineering, Syracuse University, Syracuse, New York, USA.
Hierarchical materials show scale-dependent stiffness. AI reveals microscale defects, not just density, dictate mechanical properties by creating weak pathways, impacting load transfer and material failure.
Area of Science:
- Materials Science
- Biophysics
- Computational Mechanics
Background:
- Hierarchical porous materials offer lightweight, damage-tolerant properties, but their mechanical performance is linked to density-dependent scaling laws.
- Classical theories explain density scaling, yet the role of microscale defect topology in breaking down these laws is not fully understood.
- Trabecular bone exemplifies hierarchical porous structures where understanding mechanical scaling is crucial for skeletal biomechanics.
Purpose of the Study:
- To investigate the scale-dependent transition in stiffness-density scaling in hierarchical porous structures, specifically trabecular bone.
- To determine if microscale defect topology, rather than just density, influences the breakdown of classical scaling laws.
- To leverage AI and advanced simulation techniques to quantify these relationships under data-limited conditions.
Main Methods:
- In situ synchrotron tomography was used to capture microstructural details of trabecular bone.
- Diffusion-based generative modeling (AI) was employed to create statistically faithful ensembles of microstructures.
- Micromechanical simulations were performed on these microstructures to analyze stiffness-density relationships at different scales.
Main Results:
- At the millimeter scale, effective Young's modulus (E) followed classical cellular-solid theory: E ∝ (bone volume/total volume)^2.
- At the microscale (lacunar level), simulations revealed a steeper scaling dependence: E ∝ (bone volume/total volume)^(4-6).
- This microscale hypersensitivity is attributed to long-range interactions of stress fields, forming weak corridors that shift load transfer to matrix connectivity.
Conclusions:
- Microscale defect topology, specifically the formation of system-spanning weak corridors, significantly impacts stiffness-density scaling in hierarchical porous materials.
- AI-driven microstructural generation enables robust quantification of these complex relationships, even with limited imaging data.
- The findings reveal a fundamental mechanism where connectivity, not just porosity, governs mechanical properties at the microscale, influencing material failure.
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