Contents

### **Preface XI**


Chapter 8 **Energy Dissipation Criteria for Surface Contact Damage Evaluation 143**  Yong X. Gan

Preface

Although Continuum Mechanics belongs to a traditional topic, the research in this field has never been stopped. The goal of this book is to introduce the latest progress in the fundamental aspects and the applications in various engineering areas. The first three chapters are on the fundamentals of Continuum Mechanics. Chapter 1 introduces the Spencer Operator and presents the applications of this useful operator in solving Continuum Mechanics problems. The authors extend the ideas for tackling general Mathematical Physics problems. Chapter 2 is on Transversality Condition. The author clearly defines the transversality and provides a rigorous derivation for the problem. In Chapter 3, fluid is treated as the continuum media. Related mechanics

The rest five chapters are on the applications of continuum mechanics in emerging engineering fields. Chapter 4 uses Continuum Mechanics concepts to analyze the structure-performance relation of solid oxide fuel cells. Three-dimensional reconstructed microstructures are proposed based on both analytical solutions and simulations. In Chapter 5, the mechanical responses are examined in hydraulic piping systems. Noise and vibration related to such systems are presented. Chapter 6 deals with the mechanics associated with the precision machining process. Finite element method (FEM) was used to analyze the mechanistic aspect of materials removal at small scales. Chapter 7 applies Fracture Mechanics approach to predict the progressive stiffness loss of symmetric laminated plates. Specifically, transverse cracks are treated in the studies. Finally, Chapter 8 is on the surface damage analysis. The energy dissipation criteria based on Continuum Mechanics and Micromechanics are proposed to evaluate the surface contact damage evolution. Each chapter is self-contained. The

Ms. Maja Bozicevic, the Publishing Process Manager is acknowledged for her effort on collecting the chapters and assistance in editing. Without her help, the publication of

University of Toledo, Member of American Society of Mechanical Engineers,

**Dr. Yong X. Gan** 

USA

Member of Sigma Xi Scientific Society,

analysis is given with the emphasis on non-Newtonian fluid.

book should be a good reference for researchers in Applied Mechanics.

this book would not be possible.
