Local and Nonlocal Micromechanics of Heterogeneous Materials

Chapter 1. Introduction.- Chapter 2. Foundations of Solid Mechanics.- Chapter 3. Green's Functions, Eshelby and Related Tensors.- Chapter 4. Multiscale Analysis of the Multiple Interacting InclusionsProblem: Finite Number of Interacting Inclusions.- Chapter 5. Statistical Description of Composite Materials.- Chapter 6. Effective Properties and Energy Methods inThermoelasticity and Thermoelectroelasticity ofComposites.- Chapter 7. General Integral Equations of Micromechanics of CompositeMaterials.- Chapter 8. Multiparticle Effective Field and Related Methods inMicromechanics of Random Structure Composites.- Chapter 9. Basic Representations of New background of Micromechanics.- Chapter 10. Inhomogeneity of the First and Second Statistical Momentsof Stresses Inside the Heterogeneities of CMs.- Chapter 11. Interface integral technique in thermoelasticity of randomstructure matrix CMs.- Chapter 12. Nonlinear Problems in Micromechanics of CMs.- Chapter 13. Nonlocal Effects in Micromechanics of Locally Elastic CMs.- Chapter 14. Micromechanics of Strongly Nonlocal Strain-Type andWeakly Nonlocal CMs.- Chapter 15. Subsequent Generalizations of Theory and Related Problems.- Chapter 16. Bond-Based Peridynamics.- Chapter 17. Background of Peridynamic Micromechanics ..- Chapter 18. Peridynamic Micromechanics of Random StructureComposites.- Chapter 19. Computational homogenization in linear peridynamicmicromechanics of periodic structure CM.- Chapter 20. Conclusion.- Chapter 21. Appendix