Elastodynamic problem on tensor random fields with fractal and Hurst effects

DOI10.1007/s11012-021-01424-1OpenAlexW3200160043MaRDI QIDQ6113592

Martin Ostoja-Starzewski, Emilio Porcu, Anatoliy Malyarenko, Xian Zhang

Publication date: 9 August 2023

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-021-01424-1

zbMATH Keywords

fractal dimensioncellular automaton modelwave motionanti-plane shear Lamb problemCauchy random field modelDagum random field model

Mathematics Subject Classification ID

Fractals (28A80) Random structure in solid mechanics (74E35) Waves in solid mechanics (74J99) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Related Items (4)

Polyadic random fields ⋮ Tensor- and spinor-valued random fields with applications to continuum physics and cosmology ⋮ New prospects in non-conventional modelling of solids and structures ⋮ New decouplers of fractal dimension and Hurst effects

Cites Work

• Unnamed Item
• On the statistical dependence for the components of random elasticity tensors exhibiting material symmetry properties
• On stochastic finite difference schemes
• Uncertainty quantification. An accelerated course with advanced applications in computational engineering
• Harmonic oscillator driven by random processes having fractal and Hurst effects
• Application of cellular automata modeling to seismic elastodynamics
• Modelling spatio-temporal data: a new variogram and covariance structure proposal
• Elastic half-plane under random displacement excitations on the boundary
• Elastostatics of a half-plane under random boundary excitations
• Analytic and asymptotic properties of multivariate generalized Linnik's probability densities
• Acceleration waves on random fields with fractal and Hurst effects
• RVE problem: mathematical aspects and related stochastic mechanics
• A random field model for anisotropic strain energy functions and its application for uncertainty quantification in vascular mechanics
• Anti-plane shear Lamb's problem on random mass density fields with fractal and Hurst effects
• Responses of first-order dynamical systems to Matérn, Cauchy, and Dagum excitations
• Tauberian and Abelian theorems for long-range dependent random fields
• Spectral properties of superpositions of Ornstein-Uhlenbeck type processes
• Bernoulli-Euler beams with random field properties under random field loads: fractal and Hurst effects
• Geostatistics
• Fundamental Solutions in Elastodynamics
• Tensor-Valued Random Fields for Continuum Physics
• Stochastic Models That Separate Fractal Dimension and the Hurst Effect
• Impact force and moment problems on random mass density fields with fractal and Hurst effects
• Lamb's problem on random mass density fields with fractal and Hurst effects

This page was built for publication: Elastodynamic problem on tensor random fields with fractal and Hurst effects