List of Figures. List of Tables. Preface. Acknowledgments. 1. Historical Review and Fundamentals. 2. Conservation Laws in Brittle Solids. 3.The Projected Conservation Law of JK Vector in Microcrack Shielding Problems. 4. Application of the Conservation Laws in Metal/Ceramic Bimaterials. 5. Macrocrack Microcrack Interaction in Dissimilar Anisotropic Materials. 6. Macrocrack Microcrack Interaction in Piezoelectric Materials. 7. Microcrack Damage in Piezoelectric Materials. 8. Some Other Developments of the Conservation Laws and Energy Release Rates.