Material identification in frequency-domain coupled acoustic-structure interaction using an error in constitutive equation functional

Abstract

This work focuses on the inverse identification of linear elastic material parameters in the context of frequency-domain, coupled acoustic-structure interaction. The approach postulates the inverse problem as an optimization problem where the solution is obtained by minimizing a modified error in constitutive equation (MECE) functional. The MECE functional measures the discrepancy in the constitutive equations that connect kinematically admissible strains and dynamically admissible stresses while incorporating the measurement data as an additional quadratic penalty term. The method is formulated generally for the recovery of material properties in a coupled acoustic-structure system using solid displacement and/or fluid pressure measurement data. Numerical results demonstrate that the proposed methodology can identify the spatial distribution of elastic moduli from partial and noisy measurements taken in either the fluid or solid subdomains.