Spectral expansions of homogeneous and isotropic tensor-valued random fields

DOI10.1007/s00033-016-0657-8zbMath1348.60077arXiv1402.1648OpenAlexW2338770025MaRDI QIDQ322126

Anatoliy Malyarenko, Martin Ostoja-Starzewski

Publication date: 14 October 2016

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik, Mathematics and Mechanics of Complex Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1648

zbMATH Keywords

spectral expansiongroup representationtwo-point correlation functionsstochastic integralsrandom measurestensor-valued random fieldsGodunov-Gordienko coefficientsisotropic tensor random fields

Mathematics Subject Classification ID

Random fields (60G60) Classical linear elasticity (74B05) Random materials and composite materials (74A40) Stochastic integrals (60H05) Random measures (60G57)

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Bernoulli-Euler beams with random field properties under random field loads: fractal and Hurst effects ⋮ Spectral expansions of homogeneous and isotropic tensor-valued random fields ⋮ Second law violations, continuum mechanics, and permeability ⋮ Matérn class tensor-valued random fields and beyond ⋮ Polyadic random fields ⋮ Tensor- and spinor-valued random fields with applications to continuum physics and cosmology ⋮ Spectral Expansion of Three-Dimensional Elasticity Tensor Random Fields ⋮ Continuum Physics with Violations of the Second Law of Thermodynamics ⋮ Impact force and moment problems on random mass density fields with fractal and Hurst effects ⋮ Stochastic elliptic operators defined by non-Gaussian random fields with uncertain spectrum

Cites Work

• Spectral expansions of homogeneous and isotropic tensor-valued random fields
• Mean-square continuity on homogeneous spaces of compact groups
• Tensor random fields in conductivity and classical or microcontinuum theories
• Infinite-dimensional numerical linear algebra: theory and applications
• Random Fields on the Sphere
• On Spectral Representations of Tensor Random Fields on the Sphere
• Microstructural disorder, mesoscale finite elements and macroscopic response
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