Books

1. Microstructural Randomness and Scaling in Mechanics of Materials, Modern Mechanics and Mathematics Series, Chapman & Hall/CRC/Taylor & Francis (2007). The book develops and reviews a number of stochastic models and methods useful in mechanics of random media, a field at the intersection of solid mechanics, materials science, stochastic mathematics and statistical physics. The first six of 11 chapters include problems, so that the book may be used for a graduate course. Among the book’s unique features are:

Errata
Review in MathSciNet
Review in Zentralblatt-Math

 

2. Thermoelasticty with Finite Wave Speeds, with J. Ignaczak, Oxford Mathematical Monographs, Oxford University Press (2009)

Review in MathSciNet
Review in ZentralBlatt-Math

 

3. Tensor-Valued Random Fields for Continuum Physics, with A. Malyarenko, Cambridge Monographs on Mathematical Physics, Cambridge University Press, 2019.

Review in Contemporary Physics

 

4. Random Fields of Piezoelectricity and Piezomagnetism: Correlation Structures, with A. Malyarenko and A. Amiri-Hezaveh, SpringerBriefs in Applied Sciences and Technology and SpringerBriefs in Mathematical Methods, 2020.