Computational Mechanics

, Volume 64, Issue 4, pp 1017–1048 | Cite as

A stochastic spectral finite element method for solution of faulting-induced wave propagation in materially random continua without explicitly modeled discontinuities

  • P. Zakian
  • N. KhajiEmail author
Original Paper


This paper proposes a new efficient stochastically adapted spectral finite element method to simulate fault dislocation and its wave propagation consequences. For this purpose, a dynamic form of the split node technique is formulated and developed to stochastic spectral finite element method in order to model fault dislocation happening within a random media without increasing computational demand caused by discontinuities. As discontinuities are not modeled explicitly herein, no additional degrees of freedom are implemented in the proposed method due to the discontinuities, while effects of these discontinuities are preserved. Therefore, the present method simultaneously includes merits of stochastic finite element method, spectral finite element method and the spilt node technique, thereby providing a new numerical tool for analysis of wave propagation under fault dislocation in random media. Several numerical simulations are solved by the proposed method, which present stochastic analysis of fault slip-induced wave propagation in layered random media. Formulations and numerical results demonstrate capability, application and efficiency of this novel method.


Dynamic fault dislocation Stochastic spectral finite element method Split node technique Layered random media Karhunen–Loève expansion Polynomial chaos expansion 



The authors are grateful to the Iran National Science Foundation (INSF) for the financial support of their research project.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Civil Engineering, Faculty of EngineeringArak UniversityArākIran
  2. 2.Faculty of Civil and Environmental EngineeringTarbiat Modares UniversityTehranIran

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