## Books

** Microstructural Randomness and Scaling in Mechanics of Materials**, Modern Mechanics and Mathematics Series, Chapman & Hall/CRC/Taylor & Francis (2008)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:

- basic coverage of random geometry and continuum random fields
- review of truss-type and beam-type lattices, and construction of corresponding classical and non-classical continua
- theory and consequences of stress invariance in planar classical and micropolar elasticity
- introduction to statistical continuum theories
- scaling to Representative Volume Element (RVE) in conductivity, linear and finite elasticity/thermoelasticity, elasto-plasticity, flow in porous media, …
- methods for problems with resolution below the RVE via e.g. stochastic finite elements
- a study of effects of microscale material randomness on waves in (in)elastic/non-linear media, with focus on wavefronts

Errata

Review in MathSciNet

Review in Zentralblatt-Math

** Thermoelasticty with Finite Wave Speeds**, with J. Ignaczak, Oxford Mathematical Monographs, Oxford University Press (2010)

Review in MathSciNet

Review in ZentralBlatt-Math

*Tensor-Valued Random Fields for Con*** tinuum Physics**, with A. Malyarenko, Cambridge Monographs on Mathematical Physics, Cambridge University Press, 2019.