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math-ph2016★ 44 cited
A random field formulation of Hooke's law in all elasticity classes
Anatoliy Malyarenko, Martin Ostoja-Starzewski
For each of the isotropy classes of elastic materials, we consider a homogeneous random field taking values in the fixed point set of the corresponding class, that…
math-ph2011★ 78 cited
Electromagnetism on Anisotropic Fractals
Martin Ostoja-Starzewski
We derive basic equations of electromagnetic fields in fractal media which are specified by three indepedent fractal dimensions α_{i} in the respective directions x_{i} (i=1,2,3) o…