1. Introduction : why a new book on fracture of concrete? -- 2. Classical fracture mechanics approaches -- 3. Mechanics aspects of lattice models -- 4. Lattice geometry and the structure of cement and concrete -- 5. Elastic properties of lattice with particle overlay -- 6. Fracture of concrete in tension -- 7. Combined tensile and shear fracture of concrete -- 8. Compressive fracture -- 9. Size effects -- 10. Four-stage fracture model -- 11. Multiscale modeling and testing -- 12. Conclusions and outlook.