Nonlinear Crack Models for Nonmetallic Materials

1. Introduction.- 1.1. Preliminary Remarks.- 1.2. Irwin’s Plastic Zone.- 1.3. Dugdale-Barenblatt Cohesive Zone.- 1.4. Stability of a Bridged Crack.- 1.5. Microcracked Zone ahead of a Macrocrack Tip.- 1.6. Final Remarks and Bibliographical Guide of the Author’s Contributions to the Subject of the Volume.- 1.7. References.- 2. The Damage Crack Model.- 2.1. Introduction.- 2.2. Strain Energy Density Criterion.- 2.3. Mode I Problems.- 2.4. Mixed Mode Problems.- 2.5. Size Effects on Strength and Ductility.- 2.6. References.- 3. The Cohesive Crack Model.- 3.1. Introduction.- 3.2. Basic Concepts of the Cohesive Crack Model.- 3.3. Mode I Problems.- 3.4. Mixed Mode Problems.- 3.5. References.- 4. The Bridged Crack Model.- 4.1. Introduction.- 4.2. The Discontinuous Bridged Crack Model (Single Reinforcement).- 4.3. The Discontinuous Bridged Crack Model (n Reinforcements).- 4.4. The Continuous Bridged Crack Model.- 4.5. Applications of the Bridged Crack Model in Structural Analyses.- 4.6. References.- 5. The Microcrack-Interacting Model.- 5.1. Introduction.- 5.2. Microcracking in Brittle Solids.- 5.3. A Semi-analytical and Numerical Approach to Crack Interaction Problems.- 5.4. A LEFM Mesoscopic Approach to Macrocrack-Microcrack Interaction Problems.- 5.5. Small-Scale Microcracking in the Process Zone.- 5.6. An Energy Approach to Interactive Phenomena.- 5.7. A Statistical Approach to Microcracking.- 5.8. References.- 6. Comparisons and Conclusions.- 6.1. Preliminary Remarks.- 6.2. Cohesive Crack Model versus Damage Crack Model.- 6.3. Bridged Crack Model versus Cohesive Crack Model.- 6.4. Evolutive Analysis of Multicracked Bodies.- 6.5. References.