The main topic of this book is the calculation of underground structures at the limit states of serviceability. It considers the main schemes typical for underground structures for various purposes, gives the corresponding mathematical models describing the main geo-mechanical and technological factors in the construction and operation of extended excavations. Generalized criteria are proposed for making a technically and economically justified solution of the problem of determining the optimal forms and sizes of workings, bearing capacity, type of support and its erection, depending on...

A catastrophic phenomenon should not be considered a sudden and causeless event, but as a process whose characteristics are continuously changing throughout the entire previous period. This process manifests itself in the form of a trajectory of changes in time of the controlled parameter. This trajectory contains the information necessary for making decisions, both about the current degree of criticality of the system’s state and about the moment it reaches its limit state.

This monograph discusses the method of searching for such a moment for a controlled system. The...

This book discusses heat transfer, which is an important topic in all physical phenomena that involve thermal energy transport. The focus is on the three major means of heat transfer: conduction, convection, and radiation. New materials, methods, and insights are presented that reflect the author’s contributions in this area. After many years of experience in teaching and research, Dr. Wang has refined many useful analytic methods to treat thermo-fluid problems. Certain physical truths can only be revealed by analysis, and this book focuses on analytic means to solve heat transfer...