Inverse Problem for Kirchhoff-Love Plate Equation
Sombuddha Bhattacharyya, Tuhin Ghosh
TL;DR
This paper addresses the inverse problem of determining material parameters in the Kirchhoff-Love plate equation using boundary data, contributing to elasticity modeling of thin plates.
Contribution
It establishes the global recovery of key material parameters from boundary measurements in the Kirchhoff-Love plate model.
Findings
Successful recovery of bending stiffness, Poisson coefficient, and Lamé parameters.
Theoretical proof of uniqueness in parameter identification.
Enhanced understanding of inverse problems in plate elasticity.
Abstract
We consider the two-dimensional Kirchhoff-Love plate equation in the context of elasticity modeling the stresses and deformations in thin plates subjected to forces and moments. We establish global recovery of the material parameters like bending stiffness, Poisson coefficient, Lam\'e parameters from the associated boundary Cauchy data of the equation.
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Taxonomy
TopicsNumerical methods in inverse problems · Advanced Mathematical Modeling in Engineering · Thermoelastic and Magnetoelastic Phenomena