The Methodology of Statistical Mechanics

Provides a modern, practical approach to the understanding and measurement procedures relevant to the fracture of brittle materials

by Stephen W. Freiman (Author), John J. Mecholsky Jr. (Author)
Provides a modern, practical approach to the understanding and measurement procedures relevant to the fracture of brittle materials

This work aims to foster the interdisciplinary dialogue between mathematicians and socio-economic scientists. Interaction among scholars and practitioners traditionally coming from different research areas is necessary more than ever in order to better understand many real-world problems we face today.

This book aims to provide a unified methodology to derive models for fatigue life prediction. This includes S-N, e-N and crack propagation models. This book is unique in that it contemplates the three main fatigue approaches (stress-based, strain-based and fracture mechanics) from a novel and integrated point of view. As an alternative to the preferential attention paid to deterministic models based on the physical, phenomenological and empirical description of fatigue, their probabilistic nature is emphasized in this book, in which stochastic fatigue and crack growth models are presented.