A Time-Domain High-Order Spectral Finite Element for the Simulation of Symmetric and Anti-Symmetric Guided Waves in Laminated Composite Strips with Active Piezoelectric Sensors

Christoforos Rekatsinas (1) , Christos Nastos (1) , Theodosis Theodosiou (1) , Dimitris Saravanos (1)

1 University of Patras

A new time domain spectral finite element is developed for improving the efficiency of numerical simulations of guided waves in laminated composite strips. The finite element relies on a new generalized laminate mechanics model formulated to represent symmetric and anti-symmetric Lamb waves. The laminate mechanics incorporate third-order polynomial terms for the approximation of axial and transverse displacement fields through the thickness, and consider the displacements of the upper and lower surfaces as degrees of freedom. Based on the resultant governing equations of the laminate section, a new finite element with 8 nodal degrees of freedom is formulated, with its nodes collocated with Gauss-Lobatto-Legendre integration points. Stiffness and mass matrices are assembled and the transient response is predicted with explicit central differences time integration. The transient response of an orthotropic composite strip exited by a 5-count Gaussian pulse is investigated. Results are validated against a semi-analytical solution Numerical results exhibit substantial improvement in the convergence and accuracy of the introduced element regarding the prediction of symmetric and anti-symmetric wave propagation.

Mots clés: Finite Elements based SHM; Guided waves; Piezoelectric sensors

Domaines: Mécanique [physics]; Mécanique [physics.med-ph]; Statistiques [math.ST]; Théorie [stat.TH]

Christoforos Rekatsinas, Christos Nastos, Theodosis Theodosiou, Dimitris Saravanos. A Time-Domain High-Order Spectral Finite Element for the Simulation of Symmetric and Anti-Symmetric Guided Waves in Laminated Composite Strips with Active Piezoelectric Sensors. EWSHM - 7th European Workshop on Structural Health Monitoring, IFFSTTAR, Inria, Université de Nantes, Jul 2014, Nantes, France. ⟨hal-01021224⟩