A perfectly matched layer formulation for Mindlin plates in the finite element method

Abstract

A perfectly matched layer (PML) is an artificial absorbing layer that can reduce the computational cost of full-scale vibration simulations of mid- to high-rise buildings. This paper presents a PML formulation for Mindlin plate elements within the finite element method (FEM), and validates its performance. The formulation is derived from the PML for three-dimensional solid elements by imposing the kinematic assumptions of Mindlin plate theory. Numerical results obtained with the proposed PML show good agreement with analytical solutions.