78 citations · 171 across the 11 of their papers we have counts for
11 papers
Generalizing odd elasticity theory to odd thermoelasticity for planar materials
Martin Ostoja-Starzewski, Piotr Surówka
We generalize the odd elasticity of planar materials to thermoelasticity, admitting spatially inhomogeneous properties. First, we show that for active systems breaking Onsager rela…
Minimally Invasive Live Tissue High-fidelity Thermophysical Modeling using Real-time Thermography
Hamza El-Kebir, Junren Ran, Yongseok Lee +7
We present a novel thermodynamic parameter estimation framework for energy-based surgery on live tissue, with direct applications to tissue characterization during electrosurgery.…
Infinite-Dimensional Adaptive Boundary Observer for Inner-Domain Temperature Estimation of 3D Electrosurgical Processes using Surface Thermography Sensing
Hamza El-Kebir, Junren Ran, Martin Ostoja-Starzewski +3
We present a novel 3D adaptive observer framework for use in the determination of subsurface organic tissue temperatures in electrosurgery. The observer structure leverages pointwi…
Tensor- and spinor-valued random fields with applications to continuum physics and cosmology
Anatoliy Malyarenko, Martin Ostoja-Starzewski
In this paper, we review the history, current state-of-art, and physical applications of the spectral theory of two classes of random functions. One class consists of homogeneous a…
Virial Theorems and Virial Stresses of Micropolar Media
Martin Ostoja-Starzewski
A generalization of virial theorems and virial stresses to micropolar continuum mechanics is explored. The linear momentum balance in dyadic product with translation leads to (i) t…
Quantum multifractality in thermal conduction across random interfaces
Taishan Zhu, Giuseppe Romano, Lina Yang +2
Self-affine morphology of random interfaces governs their functionalities across tribological, geological, (opto-)electrical and biological applications. However, the knowledge of…
Saturn rings: fractal structure and random field model
Anatoliy Malyarenko, Martin Ostoja-Starzewski
This study is motivated by the observation, based on photographs from the Cassini mission, that Saturn's rings have a fractal structure in radial direction. Accordingly, two questi…
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…
Spectral Expansions of Homogeneous and Isotropic Tensor-Valued Random Fields
Anatoliy Malyarenko, Martin Ostoja-Starzewski
We establish spectral expansions of homogeneous and isotropic random fields taking values in the -dimensional Euclidean space and in the space of symme…
Saturn's Rings are Fractal
Jun Li, Martin Ostoja-Starzewski
Over the past few decades, various conjectures were advanced that Saturn's rings are Cantor-like sets, although no convincing fractal analysis of actual images has ever appeared. W…
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…