Anti-plane shear lamb’s problem on random mass density fields with fractal and hurst effects

Xian Zhang, Vinesh Nishawala, Martin Ostoja Starzewski

Research output: Contribution to journalArticle

Abstract

This paper reports a study of transient dynamic responses of the anti-plane shear Lamb’s problem on random mass density field with fractal and Hurst effects. Cellular automata (CA) is used to simulate the shear wave propagation. Both Cauchy and Dagum random field models are used to capture fractal dimension and Hurst effects in the mass density field. First, the dynamic responses of random mass density are evaluated through a comparison with the homogenerous computational results and the classical theoretical solution. Then, a comprehensive study is carried out for different combinations of fractal and Hurst coefficients. Overall, this investigation determines to what extent fractal and Hurst effects are significant enough to change the dynamic responses by comparing the signal-to-noise ratio of the response versus the signal-to-noise ratio of the random field.

Original languageEnglish (US)
Pages (from-to)231-246
Number of pages16
JournalEvolution Equations and Control Theory
Volume8
Issue number1
DOIs
StatePublished - Mar 1 2019

Fingerprint

Anti-plane Shear
Dynamic Response
Fractals
Dynamic response
Fractal
Random Field
Signal to noise ratio
Transient Dynamics
Transient Response
Shear waves
Cellular automata
Fractal dimension
Fractal Dimension
Cellular Automata
Wave propagation
Wave Propagation
Cauchy
Computational Results
Coefficient
Model

Keywords

  • Cellular Automata
  • Fractal dimension
  • Hurst parameter
  • Random media
  • Stochastic wave propagation

ASJC Scopus subject areas

  • Modeling and Simulation
  • Control and Optimization
  • Applied Mathematics

Cite this

Anti-plane shear lamb’s problem on random mass density fields with fractal and hurst effects. / Zhang, Xian; Nishawala, Vinesh; Starzewski, Martin Ostoja.

In: Evolution Equations and Control Theory, Vol. 8, No. 1, 01.03.2019, p. 231-246.

Research output: Contribution to journalArticle

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