State-of-the-art computational methods

Our laboratory has spent a lot of effort for the development of state-of-the-art numerical methods for the efficient simulation of static and dynamic phenomena in composite structures. The Finite Wavelet Domain (FWD) method has been constructed and pioneering wavelet-based elements using Daubechies scaling functions as basis functions have been created. Moreover, the Time Domain Spectral Finite Element (TDSFE) method has been formed and efficient multi-nodal spectral elements have been employed.

  1. Finite Wavelet Domain method
    • Finite Wavelet Domain (FWD) method for the Simulation of Composite Structures and Microstructured Materials in Static and Dynamic Phenomena.
    • Related Publication(s):
      C. V. Nastos, T. C. Theodosiou, C. S. Rekatsinas, D. A. Saravanos, "A 2D Daubechies finite wavelet domain method for transient wave response analysis in shear deformable laminated composite plates", Computational Mechanics 62 (5), 1187-1198, 2018.

  2. Time Domain Spectral Finite Element method
  • Time Domain Spectral Finite Element (TDSFE) Methods for the Simulation of Wave Propagation in Composite Layered Structures with Active Piezoelectric Sensors and Impact Phenomena in Complex Structures
  • Related Publication(s): C. S. Rekatsinas, D. A. Saravanos, "A cubic spline layerwise time domain spectral FE for guided wave simulation in laminated composite plate structures with physically modeled active piezoelectric sensors", International Journal of Solids and Structures, 124, 176-191, 2017


  • Modelling of Transient Phenomena in Multiple Resolutions using Wavelet Functions
  • Layerwise Models for Laminates with Constrained Damping Layers, Sandwiched Foam Cores
  • Multi-Damped Composite Laminates with Embedded Piezoelectics
  • Modelling of Guided Wave Propagation and Impact Phenomena