Structure-Property Linkages of Aluminum Foams Marshall Johnson Materials Informatics – Progress Report 2 Mentor: Yuksel Yabansu

Motivation Why Metal Foams? – Great Properties Mechanical Thermal Electrical Acoustic Previous Work: Modeling of effective thermal conductivity (λeff) for open cell aluminum foam Room for improvement? Reasonable to want both excellent thermal & mechanical properties – how do these correlate? Plan Structure-Property Linkage with C11 elastic stiffness component Correlations between thermal & elastic properties 2

Example Foam Structures 4 Structural Parameters Average pore size [10-30] Average ligament thickness [0-4] Pore size standard deviation [0-5] Ligament thickness standard deviation [0-2]

2-Point Statistics - Autocorrelations Pore Size: 10 Pore Size SD: 0 Ligament Thickness: 1 Ligament SD: 0 Pore Size: 26 Pore Size SD: 5 Ligament Thickness: 4 Ligament SD: 2 Pore Size: 16 Pore Size SD: 4 Ligament Thickness: 3 Ligament SD: 2

Basis Vectors Φ1 Φ2 Φ3

Mean Vector

Variance Described

Color Scaled by Pore Size

Color Scaled by Ligament Thickness

Color Scaled by Pore SD

Color Scaled by Ligament SD

PCA by Thermal Conductivity

Next Steps Continue running Abaqus simulations Won’t have all 3507 by November Make sure simulations span the parameter space Structure-Property Linkage with elastic constant Elastic – Thermal property correlations