MUMS Working Group I: UQ in Materials

Group Leaders:
Wei Chen (Northwestern University)
Ralph Smith (NC State University)

Webmaster:
Wenjia Wang

Description:
SubGroup 1-1: Multi-scale Model Calibration and UQ
Leaders: Wei Chen and Chris Hoyle
Uncertainty in material science shows itself in many places – multi-scale physics and model building for these systems, reduced order models and surrogates. The general theme of UQ in Materials will be studied in several working groups.

This group will broadly focus on multi-scale roll-up and UQ across scales for an integrated design application and a problem arising the modeling of welding. Topics to be investigated include: construction of appropriate discrepancy functions, passing of model uncertainty from lower to higher scales, design of multi-scale data collections and techniques to improve model identifiability.

SubGroup 1-2: Surrogates in Multi-scale Modeling
Leader: Ralph Smith
Uncertainty in material science shows itself in many places – multi-scale physics and model building for these systems, reduced order models and surrogates. The general theme of UQ in Materials will be studied in several working groups.

This group will broadly focus on physical and statistical techniques to construct surrogate models that can be employed for system models, design and control. Topics to be investigated include: surrogates that maintain physical structure and conservation properties, time- and path-dependent surrogates, and dimension reduction/active subspace construction when constructing surrogates. This group will closely coordinate with the Reduced Model working group. We will initially consider two applications that have well-developed high-fidelity models and experimental data: hysteresis and rate-dependent modeling for PZT and shape memory alloys, and biological viscoelasticity.

Questions: email mums@samsi.info

Program on Model Uncertainty: Mathematical and Statistical (MUMS)