Asymptotics of the Transfer Function of the Poincare–Steklov Operator for a Functionally Graded Elastic Layer

Key Points

• This research aims to analyze the Poincaré–Steklov operator for boundary-value problems in elastic layers.
• Considered a three-dimensional boundary-value problem
• Focused on functionally graded elastic layers
• Derived a three-term asymptotic expansion of the transfer function
• Obtained asymptotic expansion for large Fourier transform parameters
• Insights into the relationship between normal stresses and displacements on the boundary

Abstract