Stochastic Mechanics of Discrete Media

Presenting a new approach to the analysis of discrete media, this study uses electron micrographs and stereology to identify and measure the relevant microscopic and structural elements in materials, and to analyze their statistical interactions.

---

For the past three decades, the mechanics of structured media, frequently called micromechanics, has been recognized as an important new approach in the analysis of material behaviour. This book discusses the modern application of mathematical analysis to the stochastic mechanics of discrete media. The theoretical study is therefore based on set and measure theory and the application of point processes. The author starts from electron micrographs and stereology to identify and measure the relevant microscopic and structural elements in materials and analyzes their statistical interaction with predictions of their macroscopic performance. The text is primarily written for researchers in the field of micromechanics, but will interest also those working in metallurgy, soil mechanics, rheology, fibre science and biophysics.