Wavelet spectral finite element method for modeling wave propagation in stiffened composite laminates

Abstract

Ultrasonic wave propagation in composite panels with stiffener is studied using wavelet spectral finite element (WSFE) method. WSFE is used to model dynamics of 2D finite composite panels with stiffeners accurately. Transverse shear flexibility is included in the model such that the accuracy holds up to wavelengths close to plate thickness. The global dynamic stiffness matrix of the structure is assembled following a procedure similar to regular finite element method and then solved in frequency-wavenumber domain. Wavelet transform is used to approximate the wave equations in time and one spatial dimension. WSFE results are validated with regular finite element method using Abaqus ® . The utility of 2D WSFE based models to analyze built-up composite structures is shown in the context of skin-stiffener debonding detection..

Wavelet spectral finite element modeling for wave propagation in adhesively bonded composite joints

“…For linear elastic orthotropic materials the relationship between the normal and bending stress resultants, and the displacements can be written as 11 …”