Introduction to Computational Nanomechanics

Shaofan Li is a full professor of computational science at the University of California, Berkeley. Dr. Li has been conducting research in atomistic and multiscale simulations since 2000, publishing more than 200 technical articles in peer-reviewed journals. Jun Li is a post-doctoral researcher at Wuhan University of Technology. Dr. Li has been conducting research in first-principle modeling and simulations of materials since 2015, publishing over 20 technical papers in peer-reviewed journals.

Preface; ParT I. FIRST PRINCIPLE CALCULATIONS: 1. A short primer on quantum mechanics; 2. Density functional theory; 3. Quantum stress; 4. An introduction to VSAP; PART II. STATISTICAL MOLECULAR DYNAMICS: 5. Fundamentals of statistical mechanics; 6. Fundamentals of molecular dynamics; 7. Molecular dynamics time integration techniques; 8. Temperature control in MD simulations; 9. Andersen-Parrinello-Rahman molecular dynamics; 10. Introduction to LAMMPS; 11. Monte carlo methods; 12. Langevin equations and dissipative particle; 13. Non-equilibrium molecular dynamics; Part III. MULTISCALE MODELING AND SIMULATION: 14. Virial theoreum and virial stress; 15. Cauchy-born rile and multiscale methods; 16. Statistical theory of cauchy continuum; 17. Multiscale method (I): multiscale micromorhpic molecular dynamics; 18. Multiscale methods (II) multiscale finite element methods; Appendix A; Bibliography; Author index, Subject index.